diff --git a/.github/dependabot.yml b/.github/dependabot.yml
new file mode 100644
index 00000000..700707ce
--- /dev/null
+++ b/.github/dependabot.yml
@@ -0,0 +1,7 @@
+# https://docs.github.com/github/administering-a-repository/configuration-options-for-dependency-updates
+version: 2
+updates:
+  - package-ecosystem: "github-actions"
+    directory: "/" # Location of package manifests
+    schedule:
+      interval: "weekly"
diff --git a/examples/1-KeplerProblem.ipynb b/examples/1-KeplerProblem.ipynb
index c09406e3..23d1d96d 100644
--- a/examples/1-KeplerProblem.ipynb
+++ b/examples/1-KeplerProblem.ipynb
@@ -37,19 +37,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0.4.8-pre+1\n"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "println(VERSION)\n",
     "\n",
@@ -67,25 +57,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "WARNING: New definition \n",
-      "    /(TaylorSeries.Taylor1{#T<:Real}, #T<:Real) at /Users/benet/.julia/v0.4/TaylorSeries/src/Taylor1.jl:261\n",
-      "is ambiguous with: \n",
-      "    /(TaylorSeries.Taylor1{Base.Rational{#T<:Integer}}, #S<:Union{Base.Complex, Real}) at /Users/benet/.julia/v0.4/TaylorSeries/src/Taylor1.jl:254.\n",
-      "To fix, define \n",
-      "    /(TaylorSeries.Taylor1{_<:Base.Rational{#T<:Integer}}, _<:Base.Rational{#T<:Integer})\n",
-      "before the new definition.\n"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "using TaylorSeries"
    ]
@@ -102,21 +76,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      " Taylor order = 28\n",
-      " Eps = 1.0e-20\n",
-      "\n"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "# Parámetros para el integrador de Taylor\n",
     "const _ordenTaylor = 28\n",
@@ -152,22 +114,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "taylorStepper (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 4,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "# Returns stepsize of the integration and a vector with the updated values of the dependent\n",
     "# variables\n",
@@ -201,22 +150,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "stepsize (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 5,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "# Returns the maximum step size from epsilon and the last two coefficients of the x-Taylor series \n",
     "function stepsize{T<:Real}(x::Taylor1{T}, epsilon::Float64)\n",
@@ -272,22 +208,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      " mass = 1.0\n",
-      " a = 1.0\n",
-      " e = 0.8\n",
-      "\n"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "const mu = GM = 1.0\n",
     "\n",
@@ -307,22 +230,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "energy (generic function with 2 methods)"
-      ]
-     },
-     "execution_count": 7,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "function energy{T<:Real}( x::T, y::T, vx::T, vy::T )\n",
     "    eneCin = 0.5*(vx*vx + vy*vy)\n",
@@ -335,22 +245,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "lz1 (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 8,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "lz{T<:Real}( a::T, e::T ) = masa * sqrt( GM*a*(1-e^2) )\n",
     "lz1{T<:Real}( x::T, y::T, vx::T, vy::T ) = masa*( x*vy - y*vx )"
@@ -365,22 +262,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "iniCond (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 9,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "function iniCond{T<:Real}(a::T, e::T)\n",
     "    x0  = a*(1-e)\n",
@@ -413,22 +297,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "jetKepler1 (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 10,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "function jetKepler1{T<:Real}( vec::Array{T,1} )\n",
     "\n",
@@ -466,22 +337,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "jetKepler2 (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 11,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "function jetKepler2{T<:Real}( vec::Array{T,1} )\n",
     "\n",
@@ -529,22 +387,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "(0.017379273627668643,[0.19626418116550612,0.05181472066492753,-0.42543199148800787,2.944787769051677])"
-      ]
-     },
-     "execution_count": 12,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "x0, y0, vx0, vy0 = iniCond(semieje, excentricidad)\n",
     "\n",
@@ -560,22 +405,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "(0.017379273627668643,[0.19626418116550612,0.05181472066492753,-0.42543199148800787,2.944787769051677])"
-      ]
-     },
-     "execution_count": 13,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "x0, y0, vx0, vy0 = iniCond(semieje, excentricidad)\n",
     "\n",
@@ -591,29 +423,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "timeJK1 = 0.001156201   timeJK2 = 0.000211803 \n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "5.458850913348725"
-      ]
-     },
-     "execution_count": 14,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "println( \"timeJK1 = $(timeJK1)   timeJK2 = $(timeJK2) \")\n",
     "tau = timeJK1/timeJK2"
@@ -635,22 +447,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "keplerIntegration (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 15,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "function keplerIntegration( a::Float64, e::Float64, time_max::Float64, jetEqs::Function )\n",
     "    # Initial conditions, energy and angular momentum\n",
@@ -700,19 +499,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "  4.623210 seconds (47.67 M allocations: 3.549 GB, 6.94% gc time)\n"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "#jetKepler1\n",
     "tV1, xV1, yV1, DeneV1, DlzV1 = keplerIntegration( semieje, excentricidad, 2pi, jetKepler1);\n",
@@ -722,19 +511,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "  0.882801 seconds (16.18 M allocations: 494.170 MB, 4.83% gc time)\n"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "#jetKepler2\n",
     "tV2, xV2, yV2, DeneV2, DlzV2 = keplerIntegration( semieje, excentricidad, 2pi, jetKepler2);\n",
@@ -751,22 +530,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "(true,true)"
-      ]
-     },
-     "execution_count": 18,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "tV1[end] == tV2[end], yV1[end] == yV2[end]"
    ]
@@ -780,22 +546,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "0.017379273627668643"
-      ]
-     },
-     "execution_count": 19,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "minimum([tV1[i+1]-tV1[i] for i=1:length(tV1)-1])"
    ]
@@ -809,22 +562,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "0.0027659973051900803"
-      ]
-     },
-     "execution_count": 20,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "ans/(2pi)"
    ]
@@ -838,44 +578,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "0.14405720621814588"
-      ]
-     },
-     "execution_count": 21,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "(tV1[end]-tV1[1])/(length(tV1)-1)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "0.02292741645762644"
-      ]
-     },
-     "execution_count": 22,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "ans/(2pi)"
    ]
@@ -889,10 +603,8 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": null,
+   "metadata": {},
    "outputs": [],
    "source": [
     "using PyPlot"
@@ -900,34 +612,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x32d70b050>)"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/plain": [
-       "2-element Array{Any,1}:\n",
-       " PyObject <matplotlib.lines.Line2D object at 0x32f8074d0>\n",
-       " PyObject <matplotlib.lines.Line2D object at 0x32f807650>"
-      ]
-     },
-     "execution_count": 24,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "axis(\"equal\")\n",
     "plot(xV1, yV1, \",\", [0], [0], \"+\")"
@@ -943,44 +630,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x32f7c4150>)"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/plain": [
-       "2-element Array{Any,1}:\n",
-       " PyObject <matplotlib.lines.Line2D object at 0x32fe99d90>\n",
-       " PyObject <matplotlib.lines.Line2D object at 0x32fe99e10>"
-      ]
-     },
-     "execution_count": 25,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "plot(tV2/(2pi), DeneV2, \",\", tV2/(2pi), DlzV2, \",\")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": null,
+   "metadata": {},
    "outputs": [],
    "source": [
     "tV2, xV2, yV2, DeneV2, DlzV2 = \n",
@@ -989,78 +649,27 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x32fed1150>)"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/plain": [
-       "2-element Array{Any,1}:\n",
-       " PyObject <matplotlib.lines.Line2D object at 0x330da16d0>\n",
-       " PyObject <matplotlib.lines.Line2D object at 0x330da1750>"
-      ]
-     },
-     "execution_count": 27,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "plot(tV2/(2pi), DeneV2, \",\", tV2/(2pi), DlzV2, \",\")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "(704,176)"
-      ]
-     },
-     "execution_count": 28,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "maximum(abs(DeneV2)), maximum(abs(DlzV2))"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "(1.5631940186722204e-13,3.907985046680551e-14)"
-      ]
-     },
-     "execution_count": 29,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "maximum(abs(DeneV2))*eps(1.0), maximum(abs(DlzV2))*eps(1.0)"
    ]
diff --git a/examples/Simple Taylor integration.ipynb b/examples/Simple Taylor integration.ipynb
index 67d44b77..e32dfaec 100644
--- a/examples/Simple Taylor integration.ipynb	
+++ b/examples/Simple Taylor integration.ipynb	
@@ -32,7 +32,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -41,40 +41,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "∫⬩dt (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 10,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "∫⬩dt(u::Taylor1) = integrate(u)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "taylor_step (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 11,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "function taylor_step(f, u0)\n",
     "\n",
@@ -92,20 +70,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 + 1.0 t + 0.5 t² + 0.16666666666666666 t³ + 𝒪(t⁴)"
-      ]
-     },
-     "execution_count": 12,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "f(x) = x\n",
     "\n",
@@ -118,40 +85,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "2.6666666666666665"
-      ]
-     },
-     "execution_count": 13,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "soln(1.0)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 + 1.0 t + 0.5 t² + 0.16666666666666666 t³ + 0.041666666666666664 t⁴ + 0.008333333333333333 t⁵ + 0.001388888888888889 t⁶ + 0.0001984126984126984 t⁷ + 2.48015873015873e-5 t⁸ + 2.7557319223985893e-6 t⁹ + 2.7557319223985894e-7 t¹⁰ + 𝒪(t¹¹)"
-      ]
-     },
-     "execution_count": 15,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "degree = 10\n",
     "u0 = Taylor1([1.0], degree)\n",
@@ -161,40 +106,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "-2.7312660577649694e-8"
-      ]
-     },
-     "execution_count": 16,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "soln(1.0) - exp(1.0)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "0.0"
-      ]
-     },
-     "execution_count": 17,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "degree = 20 \n",
     "u0 = Taylor1([1.0], degree)\n",
@@ -219,20 +142,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "taylor_step (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 18,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "function taylor_step(f, u0)\n",
     "\n",
@@ -264,20 +176,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "0.0"
-      ]
-     },
-     "execution_count": 19,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "degree = 20\n",
     "u0 = Taylor1([1.0], degree)\n",
@@ -295,20 +196,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
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-       "false"
-      ]
-     },
-     "execution_count": 29,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "TaylorSeries.displayBigO(false)"
    ]
@@ -322,20 +212,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 82,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "taylor_integrate (generic function with 2 methods)"
-      ]
-     },
-     "execution_count": 82,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "function taylor_integrate(f, x00, t0, δt, t_final, degree=10)\n",
     "    \n",
@@ -376,27 +255,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 47,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "  0.011537 seconds (12.18 k allocations: 751.265 KiB)\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
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-      ]
-     },
-     "execution_count": 47,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "f(β, x) = -β * x\n",
     "\n",
@@ -411,7 +272,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 48,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -420,187 +281,9 @@
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-     "execution_count": 52,
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-   ],
+   "outputs": [],
    "source": [
     "plot(ts, xs)\n",
     "plot!(ts, t->exp(-α*t))"
@@ -608,20 +291,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 53,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
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-     "execution_count": 53,
-     "metadata": {},
-     "output_type": "execute_result"
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-   ],
+   "outputs": [],
    "source": [
     "xs[end] - exp(-α * ts[end])"
    ]
@@ -635,27 +307,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 92,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "  0.097002 seconds (833.41 k allocations: 62.800 MiB, 18.55% gc time)\n"
-     ]
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-    {
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-     },
-     "execution_count": 92,
-     "metadata": {},
-     "output_type": "execute_result"
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-   ],
+   "outputs": [],
    "source": [
     "van_der_Pol(μ, xx) = ( (x, y) = xx; [y, μ * (1 - x*x) * y - x] )\n",
     "\n",
@@ -671,7 +325,7 @@
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@@ -680,349 +334,9 @@
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-       "  869.594,609.069 875.866,605.642 882.269,602.09 888.806,598.407 895.483,594.587 902.306,590.623 909.28,586.51 916.409,582.241 923.702,577.809 931.163,573.206 \n",
-       "  938.799,568.424 946.617,563.456 954.624,558.294 962.828,552.928 971.236,547.35 979.856,541.551 988.697,535.52 997.768,529.249 1007.08,522.728 1016.64,515.945 \n",
-       "  1026.45,508.891 1036.54,501.555 1046.9,493.926 1057.55,485.994 1068.51,477.748 1079.78,469.178 1091.38,460.274 1103.31,451.027 1115.6,441.427 1128.25,431.467 \n",
-       "  1141.28,421.14 1154.71,410.441 1168.54,399.367 1182.79,387.916 1197.47,376.09 1212.61,363.893 1228.2,351.334 1244.27,338.423 1260.83,325.18 1277.89,311.627 \n",
-       "  1295.46,297.792 1313.55,283.712 1332.18,269.433 1351.33,255.006 1371.03,240.495 1391.27,225.973 1412.05,211.525 1433.37,197.246 1455.22,183.244 1477.58,169.64 \n",
-       "  1500.44,156.565 1523.78,144.161 1547.56,132.582 1571.76,121.989 1596.33,112.548 1621.24,104.429 1646.41,97.801 1671.81,92.83 1697.36,89.6712 1722.99,88.4664 \n",
-       "  1748.62,89.3383 1774.18,92.3856 1799.59,97.6782 1824.76,105.253 1849.6,115.112 1874.03,127.217 1897.97,141.494 1921.34,157.831 1944.06,176.078 1966.06,196.055 \n",
-       "  1987.29,217.557 2007.7,240.355 2027.23,264.208 2045.86,288.865 2063.55,314.077 2080.3,339.598 2096.09,365.196 2110.93,390.652 2124.82,415.769 2137.78,440.372 \n",
-       "  2149.84,464.309 2161.02,487.453 2171.35,509.702 2180.87,530.977 2189.61,551.223 2197.62,570.402 2204.93,588.495 2211.58,605.5 2217.63,621.426 2223.09,636.296 \n",
-       "  2228.02,650.14 2232.45,662.994 2236.42,674.901 2239.97,685.908 2243.11,696.062 2245.9,705.414 2248.35,714.013 2250.49,721.91 2252.35,729.152 2253.95,735.786 \n",
-       "  2255.31,741.858 2256.45,747.411 2257.4,752.485 2258.17,757.119 2258.77,761.348 2259.22,765.206 2259.53,768.725 2259.72,771.933 2259.79,774.857 2259.76,777.522 \n",
-       "  2259.63,779.951 2259.42,782.165 2259.13,784.182 2258.76,786.02 2258.33,787.696 2257.84,789.224 2257.3,790.617 2256.7,791.888 2256.07,793.049 2255.38,794.108 \n",
-       "  2254.67,795.076 2253.91,795.96 2253.13,796.769 2252.32,797.509 2251.48,798.186 2250.61,798.808 2249.73,799.377 2248.82,799.9 2247.89,800.381 2246.95,800.823 \n",
-       "  2245.99,801.231 2245.02,801.606 2244.03,801.953 2243.04,802.274 2242.02,802.571 2241,802.846 2239.97,803.102 2238.93,803.34 2237.88,803.562 2236.83,803.77 \n",
-       "  2235.76,803.964 2234.69,804.145 2233.61,804.316 2232.53,804.477 2231.44,804.629 2230.34,804.773 2229.24,804.91 2228.14,805.039 2227.03,805.163 2225.91,805.281 \n",
-       "  2224.79,805.393 2223.67,805.502 2222.54,805.606 2221.41,805.706 2220.28,805.804 2219.14,805.898 2218,805.989 2216.85,806.078 2215.7,806.164 2214.55,806.249 \n",
-       "  2213.4,806.332 2212.24,806.413 2211.08,806.493 2209.91,806.571 2208.75,806.648 2207.58,806.724 2206.4,806.8 2205.23,806.874 2204.05,806.948 2202.87,807.022 \n",
-       "  2201.69,807.095 2200.5,807.167 2199.31,807.239 2198.12,807.311 2196.93,807.382 2195.73,807.454 2194.53,807.525 2193.33,807.596 2192.12,807.667 2190.92,807.738 \n",
-       "  2189.71,807.809 2188.49,807.881 2187.28,807.952 2186.06,808.024 2184.84,808.095 2183.62,808.167 2182.39,808.239 2181.16,808.312 2179.93,808.384 2178.69,808.457 \n",
-       "  2177.46,808.53 2176.22,808.604 2174.97,808.678 2173.73,808.752 2172.48,808.827 2171.23,808.902 2169.98,808.977 2168.72,809.053 2167.46,809.129 2166.2,809.206 \n",
-       "  2164.93,809.283 2163.67,809.36 2162.4,809.438 2161.12,809.517 2159.84,809.596 2158.56,809.675 2157.28,809.755 2156,809.835 2154.71,809.916 2153.42,809.998 \n",
-       "  2152.12,810.08 2150.82,810.163 2149.52,810.246 2148.22,810.33 2146.91,810.414 2145.6,810.499 2144.29,810.585 2142.97,810.671 2141.65,810.758 2140.33,810.845 \n",
-       "  2139,810.933 2137.67,811.022 2136.34,811.111 2135,811.201 2133.66,811.292 2132.32,811.383 2130.97,811.475 2129.62,811.568 2128.27,811.661 2126.91,811.755 \n",
-       "  2125.55,811.85 2124.19,811.946 2122.82,812.042 2121.45,812.139 2120.07,812.237 2118.69,812.336 2117.31,812.435 2115.93,812.535 2114.54,812.636 2113.14,812.738 \n",
-       "  2111.75,812.841 2110.34,812.944 2108.94,813.049 2107.53,813.154 2106.12,813.26 2104.7,813.367 2103.28,813.475 2101.85,813.583 2100.43,813.693 2098.99,813.804 \n",
-       "  2097.55,813.915 2096.11,814.028 2094.67,814.141 2093.22,814.256 2091.76,814.371 2090.3,814.488 2088.84,814.605 2087.37,814.724 2085.9,814.843 2084.43,814.964 \n",
-       "  2082.94,815.086 2081.46,815.209 2079.97,815.333 2078.47,815.458 2076.98,815.584 2075.47,815.711 2073.96,815.84 2072.45,815.97 2070.93,816.101 2069.41,816.233 \n",
-       "  2067.88,816.367 2066.34,816.501 2064.81,816.637 2063.26,816.775 2061.71,816.914 2060.16,817.054 2058.6,817.195 2057.04,817.338 2055.47,817.482 2053.89,817.628 \n",
-       "  2052.31,817.775 2050.72,817.924 2049.13,818.074 2047.53,818.226 2045.93,818.379 2044.32,818.534 2042.71,818.69 2041.09,818.848 2039.46,819.008 2037.83,819.17 \n",
-       "  2036.19,819.333 2034.54,819.498 2032.89,819.664 2031.24,819.833 2029.57,820.003 2027.9,820.175 2026.23,820.349 2024.54,820.525 2022.85,820.703 2021.16,820.883 \n",
-       "  2019.45,821.065 2017.74,821.249 2016.03,821.435 2014.3,821.624 2012.57,821.814 2010.83,822.007 2009.09,822.202 2007.34,822.399 2005.58,822.599 2003.81,822.8 \n",
-       "  2002.03,823.005 2000.25,823.212 1998.46,823.421 1996.66,823.633 1994.86,823.847 1993.04,824.065 1991.22,824.284 1989.39,824.507 1987.55,824.733 1985.7,824.961 \n",
-       "  1983.85,825.192 1981.98,825.426 1980.11,825.664 1978.23,825.904 1976.33,826.148 1974.43,826.394 1972.52,826.644 1970.6,826.898 1968.67,827.155 1966.74,827.415 \n",
-       "  1964.79,827.679 1962.83,827.946 1960.86,828.218 1958.88,828.493 1956.89,828.772 1954.89,829.054 1952.88,829.341 1950.86,829.632 1948.83,829.928 1946.79,830.227 \n",
-       "  1944.73,830.531 1942.67,830.84 1940.59,831.153 1938.5,831.471 1936.4,831.793 1934.29,832.121 1932.16,832.453 1930.03,832.791 1927.88,833.134 1925.71,833.482 \n",
-       "  1923.54,833.836 1921.35,834.196 1919.14,834.561 1916.93,834.932 1914.69,835.31 1912.45,835.693 1910.19,836.083 1907.91,836.479 1905.63,836.882 1903.32,837.292 \n",
-       "  1901,837.709 1898.66,838.133 1896.31,838.565 1893.95,839.004 1891.56,839.451 1889.16,839.905 1886.74,840.368 1884.31,840.839 1881.85,841.319 1879.38,841.808 \n",
-       "  1876.89,842.306 1874.38,842.813 1871.85,843.329 1869.31,843.856 1866.74,844.392 1864.15,844.939 1861.54,845.497 1858.91,846.065 1856.26,846.645 1853.59,847.236 \n",
-       "  1850.9,847.839 1848.18,848.455 1845.44,849.083 1842.67,849.724 1839.89,850.379 1837.07,851.047 1834.23,851.73 1831.37,852.427 1828.48,853.139 1825.56,853.867 \n",
-       "  1822.62,854.61 1819.64,855.371 1816.64,856.148 1813.61,856.943 1810.55,857.756 1807.46,858.588 1804.33,859.439 1801.18,860.31 1797.99,861.201 1794.77,862.114 \n",
-       "  1791.51,863.049 1788.22,864.007 1784.89,864.988 1781.53,865.993 1778.13,867.024 1774.68,868.081 1771.2,869.164 1767.68,870.276 1764.11,871.416 1760.51,872.586 \n",
-       "  1756.85,873.787 1753.16,875.02 1749.41,876.287 1745.62,877.588 1741.78,878.924 1737.89,880.298 1733.94,881.71 1729.94,883.162 1725.89,884.656 1721.78,886.193 \n",
-       "  1717.62,887.774 1713.39,889.402 1709.1,891.078 1704.75,892.805 1700.33,894.584 1695.84,896.417 1691.29,898.306 1686.66,900.254 1681.96,902.264 1677.19,904.337 \n",
-       "  1672.33,906.477 1667.39,908.686 1662.37,910.967 1657.27,913.323 1652.07,915.757 1646.78,918.274 1641.4,920.875 1635.92,923.565 1630.33,926.348 1624.64,929.228 \n",
-       "  1618.84,932.209 1612.93,935.296 1606.9,938.493 1600.75,941.805 1594.47,945.237 1588.06,948.795 1581.52,952.484 1574.83,956.31 1568,960.28 1561.02,964.4 \n",
-       "  1553.89,968.676 1546.59,973.116 1539.12,977.727 1531.47,982.517 1523.65,987.494 1515.63,992.665 1507.42,998.041 1499,1003.63 1490.37,1009.44 1481.52,1015.48 \n",
-       "  1472.44,1021.76 1463.12,1028.29 1453.55,1035.09 1443.72,1042.16 1433.62,1049.5 1423.24,1057.15 1412.58,1065.09 1401.61,1073.35 1390.32,1081.94 1378.71,1090.86 \n",
-       "  1366.76,1100.12 1354.46,1109.74 1341.79,1119.71 1328.74,1130.06 1315.3,1140.77 1301.45,1151.86 1287.18,1163.33 1272.47,1175.17 1257.32,1187.39 1241.7,1199.96 \n",
-       "  1225.61,1212.89 1209.03,1226.15 1191.95,1239.71 1174.35,1253.56 1156.24,1267.65 1137.59,1281.94 1118.41,1296.37 1098.69,1310.88 1078.42,1325.4 1057.61,1339.85 \n",
-       "  1036.27,1354.12 1014.4,1368.1 992.017,1381.68 969.135,1394.73 945.777,1407.1 921.973,1418.64 897.756,1429.19 873.166,1438.57 848.251,1446.63 823.062,1453.18 \n",
-       "  797.658,1458.07 772.106,1461.15 746.475,1462.26 720.841,1461.29 695.283,1458.14 669.885,1452.75 644.731,1445.07 619.906,1435.11 595.496,1422.9 571.581,1408.53 \n",
-       "  548.242,1392.1 525.552,1373.78 503.58,1353.72 482.385,1332.16 462.02,1309.31 442.528,1285.41 423.944,1260.73 406.292,1235.49 389.589,1209.96 373.841,1184.37 \n",
-       "  359.047,1158.92 345.196,1133.83 332.273,1109.25 320.256,1085.35 309.117,1062.24 298.823,1040.04 289.341,1018.81 280.633,998.607 272.658,979.477 265.378,961.433 \n",
-       "  258.75,944.478 252.736,928.599 247.295,913.776 242.388,899.979 237.977,887.168 234.027,875.303 230.504,864.336 227.373,854.219 224.605,844.902 222.171,836.336 \n",
-       "  220.043,828.47 218.197,821.256 216.609,814.648 215.257,808.6 214.12,803.07 213.182,798.017 212.423,793.402 211.829,789.19 211.386,785.348 211.079,781.844 \n",
-       "  210.898,778.649 210.83,775.737 210.867,773.084 210.997,770.665 211.214,768.461 211.51,766.452 211.877,764.622 212.31,762.953 212.802,761.431 213.348,760.044 \n",
-       "  213.944,758.778 214.585,757.622 215.268,756.567 215.987,755.604 216.742,754.723 217.528,753.917 218.342,753.18 219.183,752.505 220.048,751.886 220.935,751.319 \n",
-       "  221.843,750.798 222.769,750.319 223.712,749.878 224.671,749.472 225.645,749.098 226.632,748.753 227.631,748.433 228.642,748.137 229.664,747.863 230.695,747.608 \n",
-       "  231.736,747.37 232.785,747.149 233.842,746.942 234.907,746.749 235.978,746.567 237.057,746.397 238.141,746.236 239.231,746.085 240.327,745.941 241.428,745.805 \n",
-       "  242.534,745.676 243.644,745.553 244.759,745.435 245.879,745.322 247.002,745.214 248.13,745.11 249.261,745.01 250.396,744.913 251.534,744.819 252.676,744.728 \n",
-       "  253.822,744.639 254.97,744.553 256.122,744.468 257.277,744.385 258.435,744.304 259.596,744.225 260.76,744.146 261.927,744.069 263.096,743.993 264.269,743.918 \n",
-       "  265.444,743.843 266.622,743.769 267.803,743.696 268.987,743.623 270.173,743.551 271.362,743.479 272.554,743.407 273.748,743.335 274.945,743.264 276.145,743.193 \n",
-       "  277.347,743.122 278.552,743.05 279.759,742.979 280.97,742.908 282.183,742.837 283.398,742.765 284.617,742.694 285.837,742.622 287.061,742.55 288.287,742.478 \n",
-       "  289.516,742.406 290.748,742.333 291.983,742.26 293.22,742.187 294.46,742.114 295.702,742.04 296.948,741.965 298.196,741.891 299.447,741.816 300.701,741.74 \n",
-       "  301.957,741.665 303.217,741.588 304.479,741.512 305.744,741.435 307.012,741.357 308.283,741.279 309.557,741.201 310.834,741.122 312.114,741.042 313.397,740.962 \n",
-       "  314.682,740.882 315.971,740.801 317.263,740.719 318.558,740.637 319.856,740.554 321.157,740.471 322.461,740.387 323.768,740.303 325.079,740.218 326.392,740.132 \n",
-       "  327.709,740.046 329.029,739.959 330.353,739.872 331.679,739.784 333.009,739.695 334.342,739.606 335.679,739.516 337.019,739.425 338.362,739.334 339.709,739.242 \n",
-       "  341.059,739.149 342.413,739.055 343.77,738.961 345.131,738.866 346.495,738.771 347.863,738.674 349.234,738.577 350.61,738.479 351.988,738.381 353.371,738.281 \n",
-       "  354.757,738.181 356.147,738.08 357.541,737.978 358.938,737.875 360.34,737.772 361.745,737.668 363.154,737.562 364.568,737.456 365.985,737.349 367.406,737.241 \n",
-       "  368.831,737.132 370.26,737.023 371.694,736.912 373.131,736.801 374.573,736.688 376.019,736.574 377.469,736.46 378.924,736.344 380.383,736.228 381.846,736.11 \n",
-       "  383.313,735.992 384.785,735.872 386.262,735.751 387.743,735.63 389.229,735.507 390.719,735.383 392.214,735.257 393.713,735.131 395.218,735.004 396.727,734.875 \n",
-       "  398.241,734.745 399.76,734.614 401.283,734.482 402.812,734.348 404.346,734.213 405.885,734.077 407.428,733.94 408.978,733.801 410.532,733.661 412.091,733.519 \n",
-       "  413.656,733.376 415.226,733.232 416.802,733.086 418.383,732.939 419.969,732.79 421.562,732.64 423.159,732.488 424.763,732.335 426.372,732.18 427.987,732.023 \n",
-       "  429.608,731.865 431.235,731.705 432.868,731.544 434.507,731.381 436.152,731.216 437.803,731.049 439.461,730.88 441.125,730.71 442.795,730.538 444.471,730.364 \n",
-       "  446.155,730.187 447.845,730.009 449.541,729.829 451.244,729.647 452.955,729.463 454.672,729.277 456.396,729.089 458.127,728.898 459.865,728.705 461.611,728.51 \n",
-       "  463.363,728.313 465.124,728.113 466.891,727.911 468.667,727.707 470.45,727.5 472.24,727.29 474.039,727.078 475.846,726.864 477.66,726.646 479.483,726.426 \n",
-       "  481.314,726.204 483.154,725.978 485.002,725.75 486.858,725.518 488.724,725.284 490.598,725.046 492.481,724.806 494.373,724.562 496.274,724.315 498.184,724.065 \n",
-       "  500.104,723.812 502.033,723.555 503.972,723.294 505.921,723.03 507.88,722.762 509.849,722.491 511.828,722.216 513.817,721.937 515.817,721.653 517.827,721.366 \n",
-       "  519.849,721.075 521.881,720.78 523.924,720.48 525.979,720.176 528.045,719.867 530.123,719.554 532.212,719.236 534.314,718.913 536.427,718.585 538.553,718.252 \n",
-       "  540.692,717.914 542.843,717.571 545.007,717.223 547.184,716.868 549.374,716.509 551.578,716.143 553.796,715.771 556.028,715.394 558.274,715.01 560.534,714.62 \n",
-       "  562.81,714.223 565.1,713.82 567.405,713.41 569.726,712.993 572.062,712.568 574.414,712.136 576.783,711.697 579.168,711.25 581.57,710.795 583.989,710.332 \n",
-       "  586.426,709.86 588.881,709.38 591.353,708.891 593.844,708.392 596.354,707.885 598.882,707.368 601.431,706.841 603.999,706.304 606.587,705.757 609.196,705.199 \n",
-       "  611.826,704.63 614.478,704.05 617.151,703.458 619.847,702.854 622.566,702.238 625.307,701.609 628.073,700.967 630.862,700.312 633.677,699.643 636.516,698.96 \n",
-       "  639.382,698.262 642.274,697.549 645.192,696.821 648.138,696.076 651.113,695.315 654.116,694.537 657.148,693.741 660.21,692.928 663.303,692.095 666.428,691.243 \n",
-       "  669.585,690.371 672.774,689.479 675.998,688.565 679.256,687.629 682.549,686.67 685.878,685.688 689.245,684.681 692.65,683.65 696.093,682.592 699.577,681.507 \n",
-       "  703.102,680.394 706.669,679.253 710.279,678.081 713.933,676.879 717.633,675.644 721.379,674.376 725.174,673.074 729.017,671.735 732.912,670.36 736.858,668.946 \n",
-       "  740.858,667.492 744.913,665.996 749.025,664.457 753.195,662.874 757.425,661.244 761.717,659.565 766.072,657.837 770.493,656.056 774.981,654.22 779.539,652.328 \n",
-       "  784.169,650.377 788.872,648.364 793.652,646.288 798.511,644.145 803.451,641.933 808.475,639.649 813.586,637.289 818.786,634.851 824.078,632.331 829.467,629.726 \n",
-       "  834.954,627.032 840.544,624.244 846.239,621.36 852.044,618.374 857.963,615.283 863.999,612.081 870.156,608.764 876.44,605.326 882.854,601.762 889.404,598.067 \n",
-       "  896.094,594.234 902.931,590.258 909.918,586.131 917.062,581.847 924.37,577.4 931.846,572.781 939.499,567.983 947.333,562.997 955.358,557.817 963.58,552.432 \n",
-       "  972.007,546.835 980.647,541.015 989.508,534.963 998.6,528.67 1007.93,522.125 1017.51,515.318 1027.35,508.239 1037.46,500.877 1047.85,493.221 1058.53,485.261 \n",
-       "  1069.52,476.987 1080.82,468.387 1092.44,459.452 1104.41,450.173 1116.73,440.541 1129.42,430.548 1142.48,420.188 1155.94,409.455 1169.81,398.347 1184.1,386.862 \n",
-       "  1198.82,375.002 1214,362.772 1229.63,350.18 1245.75,337.239 1262.35,323.967 1279.46,310.386 1297.08,296.528 1315.22,282.428 1333.89,268.133 1353.09,253.696 \n",
-       "  1372.84,239.181 1393.13,224.662 1413.96,210.225 1435.33,195.966 1457.22,181.995 1479.63,168.433 1502.53,155.413 1525.91,143.078 1549.73,131.581 1573.97,121.085 \n",
-       "  1598.57,111.756 1623.5,103.765 1648.7,97.2809 1674.12,92.4675 1699.67,89.4798 1725.31,88.4582 1750.94,89.5232 1776.49,92.7712 1801.88,98.2692 1827.02,106.051 \n",
-       "  1851.83,116.115 1876.22,128.421 1900.11,142.889 1923.42,159.405 1946.08,177.816 1968.02,197.941 1989.18,219.569 2009.5,242.473 2028.95,266.408 2047.5,291.126 \n",
-       "  2065.1,316.376 2081.76,341.914 2097.47,367.507 2112.22,392.941 2126.03,418.018 2138.91,442.566 2150.89,466.436 2161.99,489.503 2172.24,511.667 2181.69,532.852 \n",
-       "  2190.36,553.002 2198.31,572.083 2205.56,590.078 2212.16,606.984 2218.14,622.815 2223.56,637.59 2228.44,651.342 2232.83,664.109 2236.76,675.933 2240.27,686.86 \n",
-       "  2243.38,696.94 2246.13,706.222 2248.55,714.756 2250.67,722.591 2252.5,729.776 2254.08,736.358 2255.42,742.381 2256.55,747.889 2257.48,752.922 2258.23,757.518 \n",
-       "  2258.81,761.712 2259.25,765.538 2259.55,769.028 2259.73,772.209 2259.79,775.109 2259.75,777.752 2259.62,780.16 2259.39,782.355 2259.1,784.355 2258.73,786.178 \n",
-       "  2258.29,787.84 2257.8,789.355 2257.25,790.737 2256.65,791.998 2256.01,793.148 2255.32,794.199 2254.6,795.159 2253.84,796.036 2253.06,796.838 2252.24,797.572 \n",
-       "  2251.4,798.245 2250.53,798.861 2249.65,799.426 2248.74,799.946 2247.81,800.423 2246.87,800.862 2245.91,801.266 2244.93,801.639 2243.94,801.983 2242.94,802.302 \n",
-       "  2241.93,802.597 2240.91,802.87 2239.88,803.124 2238.84,803.361 2237.79,803.582 2236.73,803.788 2235.67,803.98 2234.59,804.161 2233.52,804.331 2232.43,804.492 \n",
-       "  2231.34,804.643 2230.24,804.786 2229.14,804.922 2228.04,805.051 2226.93,805.173 2225.81,805.291 2224.69,805.403 2223.57,805.511 2222.44,805.615 2221.31,805.715 \n",
-       "  2220.17,805.812 2219.03,805.906 2217.89,805.997 2216.75,806.086 2215.6,806.172 2214.45,806.256 2213.29,806.339 2212.13,806.42 2210.97,806.5 2209.81,806.578 \n",
-       "  2208.64,806.655 2207.47,806.731 2206.3,806.807 2205.12,806.881 2203.95,806.955 2202.76,807.028 2201.58,807.101 2200.39,807.173 2199.2,807.245 2198.01,807.317 \n",
-       "  2196.82,807.389 2195.62,807.46 2194.42,807.531 2193.22,807.602 2192.01,807.674 2190.81,807.745 2189.6,807.816 2188.38,807.887 2187.17,807.959 2185.95,808.03 \n",
-       "  2184.73,808.102 2183.5,808.174 2182.28,808.246 2181.05,808.318 2179.82,808.391 2178.58,808.464 2177.35,808.537 2176.11,808.611 2174.86,808.684 2173.62,808.759 \n",
-       "  2172.37,808.833 2171.12,808.908 2169.86,808.984 2168.61,809.06 2167.35,809.136 2166.08,809.212 2164.82,809.29 2163.55,809.367 2162.28,809.445 2161.01,809.524 \n",
-       "  2159.73,809.603 2158.45,809.682 2157.17,809.762 2155.88,809.843 2154.59,809.924 2153.3,810.005 2152,810.088 2150.71,810.17 2149.41,810.254 2148.1,810.337 \n",
-       "  2146.79,810.422 2145.48,810.507 2144.17,810.592 2142.85,810.679 2141.53,810.765 2140.21,810.853 2138.88,810.941 2137.55,811.03 2136.22,811.119 2134.88,811.209 \n",
-       "  2133.54,811.3 2132.2,811.391 2130.85,811.483 2129.5,811.576 2128.15,811.67 2126.79,811.764 2125.43,811.859 2124.06,811.954 2122.7,812.051 2121.32,812.148 \n",
-       "  2119.95,812.246 2118.57,812.345 2117.19,812.444 2115.8,812.544 2114.41,812.645 2113.02,812.747 2111.62,812.85 2110.22,812.954 2108.81,813.058 2107.4,813.163 \n",
-       "  2105.99,813.269 2104.57,813.376 2103.15,813.484 2101.73,813.593 2100.3,813.703 2098.86,813.814 2097.42,813.925 2095.98,814.038 2094.54,814.152 2093.09,814.266 \n",
-       "  2091.63,814.382 2090.17,814.498 2088.71,814.616 2087.24,814.734 2085.77,814.854 2084.29,814.975 2082.81,815.097 2081.32,815.22 2079.83,815.344 2078.34,815.469 \n",
-       "  2076.84,815.595 2075.33,815.723 2073.83,815.852 2072.31,815.982 2070.79,816.113 2069.27,816.245 2067.74,816.379 2066.21,816.514 2064.67,816.65 2063.12,816.787 \n",
-       "  2061.57,816.926 2060.02,817.066 2058.46,817.208 2056.89,817.351 2055.32,817.495 2053.75,817.641 2052.17,817.789 2050.58,817.937 2048.99,818.088 2047.39,818.24 \n",
-       "  2045.79,818.393 2044.18,818.548 2042.56,818.705 2040.94,818.863 2039.31,819.023 2037.68,819.184 2036.04,819.348 2034.39,819.513 2032.74,819.68 2031.08,819.848 \n",
-       "  2029.42,820.019 2027.75,820.191 2026.07,820.365 2024.39,820.541 2022.7,820.72 2021,820.9 2019.3,821.082 2017.59,821.266 2015.87,821.452 2014.15,821.641 \n",
-       "  2012.42,821.831 2010.68,822.024 2008.93,822.219 2007.18,822.417 2005.42,822.617 2003.65,822.819 2001.87,823.023 2000.09,823.23 1998.3,823.44 1996.5,823.652 \n",
-       "  1994.69,823.867 1992.88,824.084 1991.05,824.305 1989.22,824.527 1987.38,824.753 1985.54,824.982 1983.68,825.213 1981.81,825.448 1979.94,825.685 1978.05,825.926 \n",
-       "  1976.16,826.17 1974.26,826.417 1972.35,826.667 1970.43,826.921 1968.5,827.178 1966.56,827.439 1964.61,827.703 1962.65,827.971 1960.68,828.242 1958.7,828.518 \n",
-       "  1956.71,828.797 1954.71,829.08 1952.7,829.367 1950.68,829.659 1948.65,829.955 1946.6,830.255 1944.55,830.559 1942.48,830.868 1940.4,831.181 1938.31,831.5 \n",
-       "  1936.21,831.823 1934.1,832.151 1931.97,832.484 1929.83,832.822 1927.68,833.165 1925.52,833.514 1923.34,833.869 1921.15,834.229 1918.94,834.594 1916.72,834.966 \n",
-       "  1914.49,835.344 1912.24,835.728 1909.98,836.119 1907.71,836.516 1905.42,836.919 1903.11,837.33 1900.79,837.747 1898.45,838.172 1896.1,838.604 1893.73,839.044 \n",
-       "  1891.34,839.491 1888.94,839.947 1886.52,840.41 1884.08,840.882 1881.63,841.363 1879.16,841.853 1876.66,842.351 1874.15,842.859 1871.62,843.376 1869.07,843.904 \n",
-       "  1866.51,844.441 1863.92,844.989 1861.31,845.548 1858.67,846.117 1856.02,846.698 1853.35,847.29 1850.65,847.895 1847.93,848.511 1845.19,849.141 1842.42,849.783 \n",
-       "  1839.63,850.439 1836.82,851.108 1833.98,851.792 1831.11,852.491 1828.22,853.204 1825.3,853.933 1822.35,854.679 1819.37,855.44 1816.37,856.219 1813.34,857.016 \n",
-       "  1810.27,857.83 1807.18,858.664 1804.05,859.517 1800.89,860.39 1797.7,861.283 1794.48,862.198 1791.22,863.135 1787.92,864.095 1784.59,865.078 1781.22,866.086 \n",
-       "  1777.82,867.118 1774.37,868.177 1770.89,869.263 1767.36,870.377 1763.79,871.52 1760.18,872.693 1756.52,873.897 1752.82,875.133 1749.07,876.403 1745.27,877.707 \n",
-       "  1741.43,879.047 1737.53,880.424 1733.58,881.84 1729.58,883.296 1725.52,884.793 1721.41,886.334 1717.24,887.92 1713,889.552 1708.71,891.232 1704.35,892.964 \n",
-       "  1699.93,894.747 1695.43,896.585 1690.87,898.48 1686.24,900.434 1681.53,902.449 1676.75,904.528 1671.89,906.674 1666.94,908.889 1661.92,911.177 1656.8,913.54 \n",
-       "  1651.6,915.982 1646.3,918.505 1640.91,921.115 1635.42,923.813 1629.82,926.605 1624.12,929.494 1618.31,932.484 1612.39,935.58 1606.35,938.787 1600.18,942.11 \n",
-       "  1593.89,945.553 1587.47,949.123 1580.92,952.824 1574.22,956.663 1567.38,960.647 1560.38,964.78 1553.23,969.071 1545.92,973.526 1538.43,978.153 1530.77,982.96 \n",
-       "  1522.93,987.953 1514.9,993.143 1506.66,998.537 1498.23,1004.14 1489.58,1009.97 1480.71,1016.04 1471.6,1022.34 1462.26,1028.9 1452.67,1035.72 1442.82,1042.81 \n",
-       "  1432.69,1050.18 1422.29,1057.85 1411.6,1065.83 1400.6,1074.12 1389.29,1082.73 1377.64,1091.68 1365.66,1100.98 1353.33,1110.62 1340.62,1120.63 1327.54,1131.01 \n",
-       "  1314.06,1141.76 1300.18,1152.89 1285.87,1164.39 1271.12,1176.26 1255.93,1188.51 1240.27,1201.12 1224.13,1214.08 1207.5,1227.36 1190.38,1240.96 1172.74,1254.83 \n",
-       "  1154.57,1268.94 1135.88,1283.24 1116.65,1297.68 1096.87,1312.2 1076.56,1326.71 1055.71,1341.15 1034.32,1355.39 1012.4,1369.35 989.968,1382.89 967.041,1395.88 \n",
-       "  943.642,1408.18 919.799,1419.64 895.546,1430.08 870.925,1439.36 845.983,1447.28 820.772,1453.69 795.352,1458.43 769.79,1461.33 744.155,1462.26 718.525,1461.1 \n",
-       "  692.978,1457.75 667.599,1452.15 642.471,1444.26 617.68,1434.1 593.311,1421.69 569.445,1407.13 546.162,1390.52 523.535,1372.03 501.63,1351.83 480.508,1330.14 \n",
-       "  460.22,1307.19 440.809,1283.21 422.309,1258.46 404.742,1233.19 388.126,1207.65 372.464,1182.06 357.755,1156.64 343.989,1131.58 331.15,1107.06 319.213,1083.22 \n",
-       "  308.151,1060.2 297.933,1038.07 288.522,1016.94 279.882,996.833 271.972,977.801 264.752,959.855 258.182,942.997 252.221,927.215 246.83,912.487 241.969,898.78 \n",
-       "  237.602,886.057 233.692,874.275 230.205,863.387 227.108,853.344 224.372,844.097 221.966,835.596 219.865,827.791 218.043,820.634 216.477,814.079 215.145,808.079 \n",
-       "  214.028,802.594 213.106,797.582 212.363,793.005 211.783,788.828 211.353,785.018 211.058,781.543 210.887,778.375 210.829,775.487 210.875,772.855 211.014,770.457 \n",
-       "  211.238,768.272 211.541,766.28 211.914,764.464 212.352,762.809 212.849,761.3 213.4,759.924 214,758.669 214.645,757.523 215.331,756.476 216.054,755.521 \n",
-       "  216.812,754.647 217.6,753.848 218.417,753.117 219.26,752.447 220.127,751.833 221.016,751.27 221.926,750.753 222.853,750.278 223.798,749.84 224.758,749.437 \n",
-       "  225.733,749.066 226.722,748.723 227.722,748.405 228.734,748.111 229.757,747.839 230.789,747.585 231.83,747.35 232.88,747.13 233.938,746.924 235.003,746.732 \n",
-       "  236.076,746.552 237.154,746.382 238.239,746.222 239.33,746.071 240.426,745.929 241.528,745.793 242.634,745.665 243.745,745.542 244.86,745.425 245.98,745.312 \n",
-       "  247.104,745.205 248.232,745.101 249.363,745.001 250.499,744.904 251.638,744.811 252.78,744.72 253.925,744.631 255.074,744.545 256.226,744.461 257.382,744.378 \n",
-       "  258.54,744.297 \n",
-       "  \"/>\n",
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-      ]
-     },
-     "execution_count": 94,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "plot(first.(soln), last.(soln), leg=false)\n",
     "scatter!([first(soln[1])], [last(soln[1])])"
@@ -1030,27 +344,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 96,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "  0.083179 seconds (816.03 k allocations: 61.855 MiB, 21.22% gc time)\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "([0.0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09  …  19.91, 19.92, 19.93, 19.94, 19.95, 19.96, 19.97, 19.98, 19.99, 20.0], Array{Float64,1}[[2.0, 5.0], [2.04767, 4.53696], [2.0908, 4.09166], [2.12958, 3.66881], [2.16426, 3.27181], [2.19511, 2.90285], [2.22242, 2.56304], [2.24647, 2.25257], [2.26756, 1.97091], [2.28598, 1.71699]  …  [2.02102, -0.0825088], [2.02014, -0.0945201], [2.01914, -0.105472], [2.01803, -0.115462], [2.01683, -0.124576], [2.01554, -0.132895], [2.01417, -0.140491], [2.01273, -0.147431], [2.01123, -0.153775], [2.00966, -0.159578]])"
-      ]
-     },
-     "execution_count": 96,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "x0 = [2.0, 5.0]\n",
     "\n",
@@ -1059,554 +355,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 97,
+   "execution_count": null,
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-       "  2049.71,806.332 2048.64,806.413 2047.58,806.493 2046.51,806.571 2045.44,806.648 2044.36,806.724 2043.29,806.8 2042.21,806.874 2041.13,806.948 2040.04,807.022 \n",
-       "  2038.95,807.095 2037.86,807.167 2036.77,807.239 2035.68,807.311 2034.58,807.382 2033.48,807.454 2032.38,807.525 2031.28,807.596 2030.17,807.667 2029.06,807.738 \n",
-       "  2027.95,807.809 2026.84,807.881 2025.72,807.952 2024.6,808.024 2023.48,808.095 2022.36,808.167 2021.23,808.239 2020.1,808.312 2018.97,808.384 2017.84,808.457 \n",
-       "  2016.7,808.53 2015.57,808.604 2014.42,808.678 2013.28,808.752 2012.14,808.827 2010.99,808.902 2009.84,808.977 2008.68,809.053 2007.53,809.129 2006.37,809.206 \n",
-       "  2005.2,809.283 2004.04,809.36 2002.87,809.438 2001.7,809.517 2000.53,809.596 1999.36,809.675 1998.18,809.755 1997,809.835 1995.81,809.916 1994.63,809.998 \n",
-       "  1993.44,810.08 1992.25,810.163 1991.05,810.246 1989.86,810.33 1988.66,810.414 1987.45,810.499 1986.25,810.585 1985.04,810.671 1983.83,810.758 1982.61,810.845 \n",
-       "  1981.39,810.933 1980.17,811.022 1978.95,811.111 1977.72,811.201 1976.49,811.292 1975.26,811.383 1974.02,811.475 1972.78,811.568 1971.54,811.661 1970.29,811.755 \n",
-       "  1969.04,811.85 1967.79,811.946 1966.53,812.042 1965.27,812.139 1964.01,812.237 1962.75,812.336 1961.48,812.435 1960.2,812.535 1958.93,812.636 1957.65,812.738 \n",
-       "  1956.36,812.841 1955.08,812.944 1953.79,813.049 1952.49,813.154 1951.2,813.26 1949.89,813.367 1948.59,813.475 1947.28,813.583 1945.97,813.693 1944.65,813.804 \n",
-       "  1943.33,813.915 1942.01,814.028 1940.68,814.141 1939.35,814.256 1938.01,814.371 1936.68,814.488 1935.33,814.605 1933.98,814.724 1932.63,814.843 1931.28,814.964 \n",
-       "  1929.92,815.086 1928.55,815.209 1927.19,815.333 1925.81,815.458 1924.44,815.584 1923.05,815.711 1921.67,815.84 1920.28,815.97 1918.88,816.101 1917.49,816.233 \n",
-       "  1916.08,816.367 1914.67,816.501 1913.26,816.637 1911.84,816.775 1910.42,816.914 1908.99,817.054 1907.56,817.195 1906.13,817.338 1904.68,817.482 1903.24,817.628 \n",
-       "  1901.79,817.775 1900.33,817.924 1898.87,818.074 1897.4,818.226 1895.93,818.379 1894.45,818.534 1892.97,818.69 1891.48,818.848 1889.99,819.008 1888.49,819.17 \n",
-       "  1886.98,819.333 1885.47,819.498 1883.96,819.664 1882.43,819.833 1880.91,820.003 1879.37,820.175 1877.83,820.349 1876.29,820.525 1874.74,820.703 1873.18,820.883 \n",
-       "  1871.62,821.065 1870.05,821.249 1868.47,821.435 1866.89,821.624 1865.3,821.814 1863.7,822.007 1862.1,822.202 1860.49,822.399 1858.87,822.599 1857.25,822.8 \n",
-       "  1855.62,823.005 1853.98,823.212 1852.34,823.421 1850.69,823.633 1849.03,823.847 1847.36,824.065 1845.69,824.284 1844.01,824.507 1842.32,824.733 1840.62,824.961 \n",
-       "  1838.92,825.192 1837.21,825.426 1835.49,825.664 1833.76,825.904 1832.02,826.148 1830.28,826.394 1828.52,826.644 1826.76,826.898 1824.99,827.155 1823.21,827.415 \n",
-       "  1821.42,827.679 1819.62,827.946 1817.81,828.218 1816,828.493 1814.17,828.772 1812.33,829.054 1810.49,829.341 1808.63,829.632 1806.77,829.928 1804.89,830.227 \n",
-       "  1803,830.531 1801.11,830.84 1799.2,831.153 1797.28,831.471 1795.35,831.793 1793.41,832.121 1791.46,832.453 1789.5,832.791 1787.52,833.134 1785.54,833.482 \n",
-       "  1783.54,833.836 1781.53,834.196 1779.5,834.561 1777.47,834.932 1775.42,835.31 1773.36,835.693 1771.28,836.083 1769.19,836.479 1767.09,836.882 1764.98,837.292 \n",
-       "  1762.85,837.709 1760.7,838.133 1758.54,838.565 1756.37,839.004 1754.18,839.451 1751.97,839.905 1749.75,840.368 1747.51,840.839 1745.26,841.319 1742.99,841.808 \n",
-       "  1740.71,842.306 1738.4,842.813 1736.08,843.329 1733.74,843.856 1731.38,844.392 1729.01,844.939 1726.61,845.497 1724.2,846.065 1721.76,846.645 1719.31,847.236 \n",
-       "  1716.84,847.839 1714.34,848.455 1711.82,849.083 1709.29,849.724 1706.73,850.379 1704.14,851.047 1701.54,851.73 1698.91,852.427 1696.25,853.139 1693.57,853.867 \n",
-       "  1690.87,854.61 1688.14,855.371 1685.38,856.148 1682.6,856.943 1679.79,857.756 1676.95,858.588 1674.08,859.439 1671.18,860.31 1668.26,861.201 1665.3,862.114 \n",
-       "  1662.31,863.049 1659.28,864.007 1656.23,864.988 1653.14,865.993 1650.01,867.024 1646.85,868.081 1643.66,869.164 1640.42,870.276 1637.15,871.416 1633.84,872.586 \n",
-       "  1630.48,873.787 1627.09,875.02 1623.65,876.287 1620.17,877.588 1616.64,878.924 1613.06,880.298 1609.44,881.71 1605.77,883.162 1602.05,884.656 1598.28,886.193 \n",
-       "  1594.45,887.774 1590.57,889.402 1586.63,891.078 1582.63,892.805 1578.58,894.584 1574.46,896.417 1570.28,898.306 1566.03,900.254 1561.71,902.264 1557.33,904.337 \n",
-       "  1552.87,906.477 1548.33,908.686 1543.72,910.967 1539.04,913.323 1534.26,915.757 1529.41,918.274 1524.46,920.875 1519.43,923.565 1514.3,926.348 1509.08,929.228 \n",
-       "  1503.75,932.209 1498.32,935.296 1492.78,938.493 1487.13,941.805 1481.37,945.237 1475.48,948.795 1469.48,952.484 1463.34,956.31 1457.07,960.28 1450.66,964.4 \n",
-       "  1444.1,968.676 1437.4,973.116 1430.54,977.727 1423.52,982.517 1416.34,987.494 1408.97,992.665 1401.43,998.041 1393.7,1003.63 1385.78,1009.44 1377.65,1015.48 \n",
-       "  1369.31,1021.76 1360.75,1028.29 1351.97,1035.09 1342.94,1042.16 1333.67,1049.5 1324.14,1057.15 1314.35,1065.09 1304.27,1073.35 1293.91,1081.94 1283.25,1090.86 \n",
-       "  1272.27,1100.12 1260.98,1109.74 1249.34,1119.71 1237.36,1130.06 1225.02,1140.77 1212.3,1151.86 1199.2,1163.33 1185.69,1175.17 1171.78,1187.39 1157.44,1199.96 \n",
-       "  1142.66,1212.89 1127.44,1226.15 1111.75,1239.71 1095.59,1253.56 1078.96,1267.65 1061.84,1281.94 1044.22,1296.37 1026.11,1310.88 1007.5,1325.4 988.398,1339.85 \n",
-       "  968.801,1354.12 948.718,1368.1 928.163,1381.68 907.151,1394.73 885.702,1407.1 863.844,1418.64 841.606,1429.19 819.027,1438.57 796.148,1446.63 773.017,1453.18 \n",
-       "  749.691,1458.07 726.227,1461.15 702.691,1462.26 679.152,1461.29 655.684,1458.14 632.362,1452.75 609.264,1445.07 586.468,1435.11 564.053,1422.9 542.093,1408.53 \n",
-       "  520.662,1392.1 499.827,1373.78 479.65,1353.72 460.188,1332.16 441.487,1309.31 423.589,1285.41 406.524,1260.73 390.315,1235.49 374.977,1209.96 360.517,1184.37 \n",
-       "  346.931,1158.92 334.213,1133.83 322.347,1109.25 311.312,1085.35 301.083,1062.24 291.631,1040.04 282.924,1018.81 274.927,998.607 267.604,979.477 260.919,961.433 \n",
-       "  254.833,944.478 249.311,928.599 244.314,913.776 239.808,899.979 235.758,887.168 232.131,875.303 228.895,864.336 226.021,854.219 223.479,844.902 221.244,836.336 \n",
-       "  219.29,828.47 217.595,821.256 216.137,814.648 214.895,808.6 213.851,803.07 212.989,798.017 212.293,793.402 211.748,789.19 211.341,785.348 211.059,781.844 \n",
-       "  210.892,778.649 210.83,775.737 210.864,773.084 210.984,770.665 211.183,768.461 211.455,766.452 211.792,764.622 212.189,762.953 212.641,761.431 213.143,760.044 \n",
-       "  213.69,758.778 214.278,757.622 214.905,756.567 215.566,755.604 216.259,754.723 216.98,753.917 217.728,753.18 218.5,752.505 219.295,751.886 220.109,751.319 \n",
-       "  220.942,750.798 221.793,750.319 222.659,749.878 223.54,749.472 224.434,749.098 225.34,748.753 226.258,748.433 227.186,748.137 228.124,747.863 229.071,747.608 \n",
-       "  230.027,747.37 230.99,747.149 231.961,746.942 232.939,746.749 233.923,746.567 234.913,746.397 235.909,746.236 236.91,746.085 237.916,745.941 238.927,745.805 \n",
-       "  239.942,745.676 240.962,745.553 241.986,745.435 243.014,745.322 244.046,745.214 245.081,745.11 246.12,745.01 247.162,744.913 248.207,744.819 249.256,744.728 \n",
-       "  250.308,744.639 251.362,744.553 252.42,744.468 253.48,744.385 254.544,744.304 255.61,744.225 256.679,744.146 257.75,744.069 258.824,743.993 259.901,743.918 \n",
-       "  260.98,743.843 262.062,743.769 263.146,743.696 264.233,743.623 265.322,743.551 266.414,743.479 267.508,743.407 268.605,743.335 269.704,743.264 270.806,743.193 \n",
-       "  271.91,743.122 273.016,743.05 274.125,742.979 275.237,742.908 276.35,742.837 277.467,742.765 278.585,742.694 279.706,742.622 280.83,742.55 281.956,742.478 \n",
-       "  283.085,742.406 284.216,742.333 285.349,742.26 286.485,742.187 287.624,742.114 288.765,742.04 289.908,741.965 291.055,741.891 292.203,741.816 293.355,741.74 \n",
-       "  294.509,741.665 295.665,741.588 296.824,741.512 297.986,741.435 299.15,741.357 300.317,741.279 301.487,741.201 302.66,741.122 303.835,741.042 305.013,740.962 \n",
-       "  306.193,740.882 307.377,740.801 308.563,740.719 309.752,740.637 310.944,740.554 312.139,740.471 313.336,740.387 314.537,740.303 315.74,740.218 316.946,740.132 \n",
-       "  318.155,740.046 319.368,739.959 320.583,739.872 321.801,739.784 323.022,739.695 324.246,739.606 325.474,739.516 326.704,739.425 327.938,739.334 329.174,739.242 \n",
-       "  330.414,739.149 331.657,739.055 332.904,738.961 334.153,738.866 335.406,738.771 336.662,738.674 337.921,738.577 339.184,738.479 340.45,738.381 341.72,738.281 \n",
-       "  342.992,738.181 344.269,738.08 345.549,737.978 346.832,737.875 348.119,737.772 349.409,737.668 350.703,737.562 352.001,737.456 353.302,737.349 354.607,737.241 \n",
-       "  355.916,737.132 357.229,737.023 358.545,736.912 359.865,736.801 361.189,736.688 362.516,736.574 363.848,736.46 365.184,736.344 366.523,736.228 367.867,736.11 \n",
-       "  369.215,735.992 370.566,735.872 371.922,735.751 373.282,735.63 374.646,735.507 376.015,735.383 377.388,735.257 378.765,735.131 380.146,735.004 381.532,734.875 \n",
-       "  382.922,734.745 384.317,734.614 385.716,734.482 387.119,734.348 388.528,734.213 389.941,734.077 391.358,733.94 392.781,733.801 394.208,733.661 395.64,733.519 \n",
-       "  397.077,733.376 398.519,733.232 399.966,733.086 401.417,732.939 402.874,732.79 404.336,732.64 405.804,732.488 407.276,732.335 408.754,732.18 410.237,732.023 \n",
-       "  411.725,731.865 413.219,731.705 414.718,731.544 416.223,731.381 417.734,731.216 419.25,731.049 420.772,730.88 422.3,730.71 423.834,730.538 425.374,730.364 \n",
-       "  426.919,730.187 428.471,730.009 430.029,729.829 431.593,729.647 433.163,729.463 434.74,729.277 436.323,729.089 437.913,728.898 439.509,728.705 441.112,728.51 \n",
-       "  442.721,728.313 444.338,728.113 445.961,727.911 447.591,727.707 449.228,727.5 450.873,727.29 452.524,727.078 454.183,726.864 455.85,726.646 457.523,726.426 \n",
-       "  459.205,726.204 460.894,725.978 462.591,725.75 464.296,725.518 466.008,725.284 467.729,725.046 469.458,724.806 471.196,724.562 472.941,724.315 474.696,724.065 \n",
-       "  476.459,723.812 478.23,723.555 480.011,723.294 481.8,723.03 483.599,722.762 485.407,722.491 487.224,722.216 489.051,721.937 490.887,721.653 492.733,721.366 \n",
-       "  494.589,721.075 496.456,720.78 498.332,720.48 500.219,720.176 502.116,719.867 504.024,719.554 505.942,719.236 507.872,718.913 509.813,718.585 511.765,718.252 \n",
-       "  513.729,717.914 515.704,717.571 517.691,717.223 519.69,716.868 521.702,716.509 523.726,716.143 525.762,715.771 527.811,715.394 529.874,715.01 531.95,714.62 \n",
-       "  534.039,714.223 536.142,713.82 538.258,713.41 540.389,712.993 542.535,712.568 544.695,712.136 546.87,711.697 549.06,711.25 551.266,710.795 553.487,710.332 \n",
-       "  555.725,709.86 557.979,709.38 560.249,708.891 562.536,708.392 564.841,707.885 567.163,707.368 569.503,706.841 571.861,706.304 574.238,705.757 576.634,705.199 \n",
-       "  579.049,704.63 581.484,704.05 583.939,703.458 586.414,702.854 588.91,702.238 591.428,701.609 593.967,700.967 596.529,700.312 599.113,699.643 601.721,698.96 \n",
-       "  604.352,698.262 607.007,697.549 609.687,696.821 612.393,696.076 615.124,695.315 617.881,694.537 620.666,693.741 623.478,692.928 626.318,692.095 629.187,691.243 \n",
-       "  632.086,690.371 635.015,689.479 637.975,688.565 640.966,687.629 643.99,686.67 647.048,685.688 650.139,684.681 653.266,683.65 656.428,682.592 659.627,681.507 \n",
-       "  662.863,680.394 666.139,679.253 669.453,678.081 672.809,676.879 676.206,675.644 679.647,674.376 683.131,673.074 686.661,671.735 690.237,670.36 693.86,668.946 \n",
-       "  697.534,667.492 701.257,665.996 705.033,664.457 708.862,662.874 712.746,661.244 716.687,659.565 720.686,657.837 724.746,656.056 728.867,654.22 733.053,652.328 \n",
-       "  737.304,650.377 741.623,648.364 746.012,646.288 750.474,644.145 755.01,641.933 759.623,639.649 764.316,637.289 769.091,634.851 773.951,632.331 778.899,629.726 \n",
-       "  783.938,627.032 789.071,624.244 794.301,621.36 799.631,618.374 805.066,615.283 810.608,612.081 816.263,608.764 822.033,605.326 827.923,601.762 833.937,598.067 \n",
-       "  840.081,594.234 846.358,590.258 852.774,586.131 859.335,581.847 866.045,577.4 872.91,572.781 879.937,567.983 887.131,562.997 894.5,557.817 902.05,552.432 \n",
-       "  909.788,546.835 917.722,541.015 925.859,534.963 934.208,528.67 942.776,522.125 951.574,515.318 960.61,508.239 969.893,500.877 979.433,493.221 989.242,485.261 \n",
-       "  999.328,476.987 1009.7,468.387 1020.38,459.452 1031.37,450.173 1042.68,440.541 1054.33,430.548 1066.33,420.188 1078.69,409.455 1091.42,398.347 1104.54,386.862 \n",
-       "  1118.06,375.002 1132,362.772 1146.36,350.18 1161.15,337.239 1176.4,323.967 1192.11,310.386 1208.29,296.528 1224.94,282.428 1242.09,268.133 1259.72,253.696 \n",
-       "  1277.86,239.181 1296.49,224.662 1315.62,210.225 1335.24,195.966 1355.34,181.995 1375.92,168.433 1396.95,155.413 1418.42,143.078 1440.29,131.581 1462.55,121.085 \n",
-       "  1485.14,111.756 1508.03,103.765 1531.17,97.2809 1554.51,92.4675 1577.97,89.4798 1601.51,88.4582 1625.05,89.5232 1648.51,92.7712 1671.83,98.2692 1694.91,106.051 \n",
-       "  1717.69,116.115 1740.09,128.421 1762.03,142.889 1783.43,159.405 1804.24,177.816 1824.38,197.941 1843.81,219.569 1862.48,242.473 1880.34,266.408 1897.37,291.126 \n",
-       "  1913.54,316.376 1928.83,341.914 1943.25,367.507 1956.8,392.941 1969.48,418.018 1981.31,442.566 1992.31,466.436 2002.5,489.503 2011.92,511.667 2020.59,532.852 \n",
-       "  2028.56,553.002 2035.85,572.083 2042.51,590.078 2048.57,606.984 2054.06,622.815 2059.04,637.59 2063.52,651.342 2067.55,664.109 2071.16,675.933 2074.38,686.86 \n",
-       "  2077.24,696.94 2079.77,706.222 2081.99,714.756 2083.93,722.591 2085.61,729.776 2087.06,736.358 2088.29,742.381 2089.33,747.889 2090.18,752.922 2090.87,757.518 \n",
-       "  2091.41,761.712 2091.81,765.538 2092.09,769.028 2092.25,772.209 2092.31,775.109 2092.27,777.752 2092.15,780.16 2091.94,782.355 2091.67,784.355 2091.33,786.178 \n",
-       "  2090.93,787.84 2090.48,789.355 2089.97,790.737 2089.42,791.998 2088.83,793.148 2088.2,794.199 2087.54,795.159 2086.85,796.036 2086.12,796.838 2085.38,797.572 \n",
-       "  2084.6,798.245 2083.81,798.861 2082.99,799.426 2082.16,799.946 2081.31,800.423 2080.44,800.862 2079.56,801.266 2078.66,801.639 2077.76,801.983 2076.84,802.302 \n",
-       "  2075.91,802.597 2074.97,802.87 2074.02,803.124 2073.07,803.361 2072.1,803.582 2071.13,803.788 2070.15,803.98 2069.17,804.161 2068.18,804.331 2067.18,804.492 \n",
-       "  2066.18,804.643 2065.18,804.786 2064.17,804.922 2063.15,805.051 2062.13,805.173 2061.11,805.291 2060.08,805.403 2059.05,805.511 2058.01,805.615 2056.97,805.715 \n",
-       "  2055.93,805.812 2054.88,805.906 2053.83,805.997 2052.78,806.086 2051.73,806.172 2050.67,806.256 2049.61,806.339 2048.55,806.42 2047.48,806.5 2046.41,806.578 \n",
-       "  2045.34,806.655 2044.27,806.731 2043.19,806.807 2042.11,806.881 2041.03,806.955 2039.94,807.028 2038.86,807.101 2037.77,807.173 2036.67,807.245 2035.58,807.317 \n",
-       "  2034.48,807.389 2033.38,807.46 2032.28,807.531 2031.18,807.602 2030.07,807.674 2028.96,807.745 2027.85,807.816 2026.74,807.887 2025.62,807.959 2024.5,808.03 \n",
-       "  2023.38,808.102 2022.26,808.174 2021.13,808.246 2020,808.318 2018.87,808.391 2017.74,808.464 2016.6,808.537 2015.46,808.611 2014.32,808.684 2013.18,808.759 \n",
-       "  2012.03,808.833 2010.88,808.908 2009.73,808.984 2008.58,809.06 2007.42,809.136 2006.26,809.212 2005.1,809.29 2003.93,809.367 2002.77,809.445 2001.6,809.524 \n",
-       "  2000.43,809.603 1999.25,809.682 1998.07,809.762 1996.89,809.843 1995.71,809.924 1994.52,810.005 1993.33,810.088 1992.14,810.17 1990.95,810.254 1989.75,810.337 \n",
-       "  1988.55,810.422 1987.34,810.507 1986.14,810.592 1984.93,810.679 1983.72,810.765 1982.5,810.853 1981.28,810.941 1980.06,811.03 1978.84,811.119 1977.61,811.209 \n",
-       "  1976.38,811.3 1975.14,811.391 1973.91,811.483 1972.67,811.576 1971.42,811.67 1970.18,811.764 1968.93,811.859 1967.68,811.954 1966.42,812.051 1965.16,812.148 \n",
-       "  1963.9,812.246 1962.63,812.345 1961.36,812.444 1960.09,812.544 1958.81,812.645 1957.53,812.747 1956.25,812.85 1954.96,812.954 1953.67,813.058 1952.38,813.163 \n",
-       "  1951.08,813.269 1949.78,813.376 1948.47,813.484 1947.16,813.593 1945.85,813.703 1944.53,813.814 1943.21,813.925 1941.89,814.038 1940.56,814.152 1939.23,814.266 \n",
-       "  1937.89,814.382 1936.55,814.498 1935.21,814.616 1933.86,814.734 1932.51,814.854 1931.15,814.975 1929.79,815.097 1928.43,815.22 1927.06,815.344 1925.69,815.469 \n",
-       "  1924.31,815.595 1922.93,815.723 1921.54,815.852 1920.15,815.982 1918.76,816.113 1917.36,816.245 1915.95,816.379 1914.55,816.514 1913.13,816.65 1911.72,816.787 \n",
-       "  1910.29,816.926 1908.87,817.066 1907.43,817.208 1906,817.351 1904.55,817.495 1903.11,817.641 1901.65,817.789 1900.2,817.937 1898.74,818.088 1897.27,818.24 \n",
-       "  1895.8,818.393 1894.32,818.548 1892.83,818.705 1891.35,818.863 1889.85,819.023 1888.35,819.184 1886.85,819.348 1885.34,819.513 1883.82,819.68 1882.3,819.848 \n",
-       "  1880.77,820.019 1879.23,820.191 1877.69,820.365 1876.15,820.541 1874.6,820.72 1873.04,820.9 1871.47,821.082 1869.9,821.266 1868.33,821.452 1866.74,821.641 \n",
-       "  1865.15,821.831 1863.56,822.024 1861.95,822.219 1860.34,822.417 1858.73,822.617 1857.1,822.819 1855.47,823.023 1853.84,823.23 1852.19,823.44 1850.54,823.652 \n",
-       "  1848.88,823.867 1847.21,824.084 1845.54,824.305 1843.86,824.527 1842.17,824.753 1840.47,824.982 1838.76,825.213 1837.05,825.448 1835.33,825.685 1833.6,825.926 \n",
-       "  1831.86,826.17 1830.12,826.417 1828.36,826.667 1826.6,826.921 1824.83,827.178 1823.05,827.439 1821.26,827.703 1819.46,827.971 1817.65,828.242 1815.83,828.518 \n",
-       "  1814,828.797 1812.17,829.08 1810.32,829.367 1808.46,829.659 1806.6,829.955 1804.72,830.255 1802.83,830.559 1800.94,830.868 1799.03,831.181 1797.11,831.5 \n",
-       "  1795.18,831.823 1793.24,832.151 1791.28,832.484 1789.32,832.822 1787.34,833.165 1785.36,833.514 1783.36,833.869 1781.34,834.229 1779.32,834.594 1777.28,834.966 \n",
-       "  1775.23,835.344 1773.17,835.728 1771.09,836.119 1769,836.516 1766.9,836.919 1764.78,837.33 1762.65,837.747 1760.51,838.172 1758.34,838.604 1756.17,839.044 \n",
-       "  1753.98,839.491 1751.77,839.947 1749.55,840.41 1747.31,840.882 1745.06,841.363 1742.79,841.853 1740.5,842.351 1738.19,842.859 1735.87,843.376 1733.53,843.904 \n",
-       "  1731.17,844.441 1728.79,844.989 1726.4,845.548 1723.98,846.117 1721.54,846.698 1719.09,847.29 1716.61,847.895 1714.11,848.511 1711.6,849.141 1709.06,849.783 \n",
-       "  1706.49,850.439 1703.91,851.108 1701.3,851.792 1698.67,852.491 1696.01,853.204 1693.33,853.933 1690.62,854.679 1687.89,855.44 1685.13,856.219 1682.35,857.016 \n",
-       "  1679.53,857.83 1676.69,858.664 1673.82,859.517 1670.92,860.39 1667.99,861.283 1665.03,862.198 1662.04,863.135 1659.01,864.095 1655.95,865.078 1652.86,866.086 \n",
-       "  1649.73,867.118 1646.57,868.177 1643.37,869.263 1640.13,870.377 1636.85,871.52 1633.53,872.693 1630.18,873.897 1626.78,875.133 1623.33,876.403 1619.85,877.707 \n",
-       "  1616.32,879.047 1612.74,880.424 1609.11,881.84 1605.44,883.296 1601.71,884.793 1597.93,886.334 1594.1,887.92 1590.21,889.552 1586.27,891.232 1582.27,892.964 \n",
-       "  1578.21,894.747 1574.08,896.585 1569.89,898.48 1565.64,900.434 1561.32,902.449 1556.93,904.528 1552.46,906.674 1547.92,908.889 1543.3,911.177 1538.61,913.54 \n",
-       "  1533.83,915.982 1528.96,918.505 1524.01,921.115 1518.97,923.813 1513.83,926.605 1508.6,929.494 1503.26,932.484 1497.82,935.58 1492.28,938.787 1486.62,942.11 \n",
-       "  1480.84,945.553 1474.95,949.123 1468.93,952.824 1462.78,956.663 1456.49,960.647 1450.07,964.78 1443.5,969.071 1436.79,973.526 1429.91,978.153 1422.88,982.96 \n",
-       "  1415.68,987.953 1408.3,993.143 1400.74,998.537 1393,1004.14 1385.05,1009.97 1376.91,1016.04 1368.55,1022.34 1359.97,1028.9 1351.16,1035.72 1342.11,1042.81 \n",
-       "  1332.82,1050.18 1323.27,1057.85 1313.45,1065.83 1303.35,1074.12 1292.96,1082.73 1282.27,1091.68 1271.26,1100.98 1259.94,1110.62 1248.27,1120.63 1236.26,1131.01 \n",
-       "  1223.88,1141.76 1211.13,1152.89 1197.99,1164.39 1184.45,1176.26 1170.5,1188.51 1156.12,1201.12 1141.3,1214.08 1126.04,1227.36 1110.31,1240.96 1094.11,1254.83 \n",
-       "  1077.43,1268.94 1060.26,1283.24 1042.6,1297.68 1024.45,1312.2 1005.8,1326.71 986.646,1341.15 967.004,1355.39 946.878,1369.35 926.281,1382.89 905.228,1395.88 \n",
-       "  883.742,1408.18 861.848,1419.64 839.577,1430.08 816.969,1439.36 794.065,1447.28 770.915,1453.69 747.573,1458.43 724.1,1461.33 700.561,1462.26 677.026,1461.1 \n",
-       "  653.567,1457.75 630.262,1452.15 607.188,1444.26 584.424,1434.1 562.047,1421.69 540.132,1407.13 518.752,1390.52 497.974,1372.03 477.86,1351.83 458.464,1330.14 \n",
-       "  439.835,1307.19 422.011,1283.21 405.022,1258.46 388.892,1233.19 373.633,1207.65 359.252,1182.06 345.746,1156.64 333.105,1131.58 321.315,1107.06 310.354,1083.22 \n",
-       "  300.196,1060.2 290.813,1038.07 282.172,1016.94 274.237,996.833 266.974,977.801 260.344,959.855 254.311,942.997 248.838,927.215 243.887,912.487 239.424,898.78 \n",
-       "  235.413,886.057 231.823,874.275 228.621,863.387 225.778,853.344 223.265,844.097 221.056,835.596 219.127,827.791 217.454,820.634 216.016,814.079 214.793,808.079 \n",
-       "  213.766,802.594 212.92,797.582 212.238,793.005 211.705,788.828 211.31,785.018 211.039,781.543 210.883,778.375 210.83,775.487 210.871,772.855 210.999,770.457 \n",
-       "  211.205,768.272 211.482,766.28 211.825,764.464 212.228,762.809 212.684,761.3 213.19,759.924 213.741,758.669 214.334,757.523 214.963,756.476 215.627,755.521 \n",
-       "  216.323,754.647 217.047,753.848 217.797,753.117 218.571,752.447 219.367,751.833 220.184,751.27 221.019,750.753 221.871,750.278 222.738,749.84 223.62,749.437 \n",
-       "  224.515,749.066 225.423,748.723 226.341,748.405 227.271,748.111 228.209,747.839 229.157,747.585 230.114,747.35 231.078,747.13 232.049,746.924 233.027,746.732 \n",
-       "  234.012,746.552 235.003,746.382 235.999,746.222 237,746.071 238.007,745.929 239.018,745.793 240.034,745.665 241.054,745.542 242.079,745.425 243.107,745.312 \n",
-       "  244.139,745.205 245.175,745.101 246.214,745.001 247.256,744.904 248.302,744.811 249.351,744.72 250.403,744.631 251.458,744.545 252.516,744.461 253.577,744.378 \n",
-       "  254.64,744.297 \n",
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-       "  2087.01,804.668 2086.01,804.717 2085,804.767 2083.99,804.816 2082.98,804.866 2081.97,804.916 2080.95,804.966 2079.94,805.016 2078.92,805.067 2077.9,805.118 \n",
-       "  2076.88,805.17 2075.86,805.221 2074.83,805.273 2073.81,805.325 2072.78,805.378 2071.75,805.43 2070.72,805.483 2069.68,805.536 2068.65,805.59 2067.61,805.644 \n",
-       "  2066.57,805.698 2065.53,805.752 2064.49,805.807 2063.44,805.862 2062.4,805.918 2061.35,805.973 2060.3,806.029 2059.24,806.086 2058.19,806.142 2057.13,806.199 \n",
-       "  2056.08,806.257 2055.02,806.314 2053.95,806.372 2052.89,806.43 2051.82,806.489 2050.76,806.548 2049.68,806.607 2048.61,806.667 2047.54,806.727 2046.46,806.787 \n",
-       "  2045.38,806.848 2044.3,806.909 2043.22,806.97 2042.14,807.032 2041.05,807.094 2039.96,807.157 2038.87,807.22 2037.78,807.283 2036.68,807.347 2035.58,807.411 \n",
-       "  2034.48,807.475 2033.38,807.54 2032.28,807.605 2031.17,807.671 2030.06,807.737 2028.95,807.804 2027.84,807.87 2026.72,807.938 2025.6,808.006 2024.48,808.074 \n",
-       "  2023.36,808.142 2022.23,808.211 2021.11,808.281 2019.98,808.351 2018.84,808.421 2017.71,808.492 2016.57,808.564 2015.43,808.635 2014.29,808.708 2013.15,808.78 \n",
-       "  2012,808.854 2010.85,808.927 2009.7,809.002 2008.54,809.076 2007.39,809.152 2006.23,809.227 2005.06,809.304 2003.9,809.38 2002.73,809.458 2001.56,809.536 \n",
-       "  2000.39,809.614 1999.21,809.693 1998.03,809.772 1996.85,809.852 1995.67,809.933 1994.48,810.014 1993.29,810.096 1992.1,810.178 1990.91,810.261 1989.71,810.345 \n",
-       "  1988.51,810.429 1987.3,810.514 1986.1,810.599 1984.89,810.685 1983.67,810.772 1982.46,810.859 1981.24,810.947 1980.02,811.035 1978.79,811.125 1977.57,811.215 \n",
-       "  1976.34,811.305 1975.1,811.396 1973.86,811.488 1972.62,811.581 1971.38,811.675 1970.13,811.769 1968.88,811.863 1967.63,811.959 1966.38,812.055 1965.12,812.153 \n",
-       "  1963.85,812.25 1962.59,812.349 1961.32,812.449 1960.04,812.549 1958.77,812.65 1957.49,812.752 1956.2,812.854 1954.92,812.958 1953.62,813.062 1952.33,813.168 \n",
-       "  1951.03,813.274 1949.73,813.381 1948.43,813.489 1947.12,813.598 1945.8,813.707 1944.49,813.818 1943.17,813.93 1941.84,814.042 1940.51,814.156 1939.18,814.27 \n",
-       "  1937.85,814.386 1936.51,814.503 1935.16,814.62 1933.81,814.739 1932.46,814.859 1931.11,814.979 1929.75,815.101 1928.38,815.224 1927.01,815.348 1925.64,815.474 \n",
-       "  1924.26,815.6 1922.88,815.728 1921.49,815.856 1920.1,815.986 1918.71,816.117 1917.31,816.25 1915.91,816.384 1914.5,816.519 1913.08,816.655 1911.67,816.792 \n",
-       "  1910.24,816.931 1908.81,817.072 1907.38,817.213 1905.95,817.356 1904.5,817.501 1903.06,817.647 1901.6,817.794 1900.15,817.943 1898.68,818.093 1897.22,818.245 \n",
-       "  1895.74,818.399 1894.27,818.554 1892.78,818.71 1891.29,818.869 1889.8,819.028 1888.3,819.19 1886.79,819.353 1885.28,819.519 1883.77,819.685 1882.24,819.854 \n",
-       "  1880.71,820.025 1879.18,820.197 1877.64,820.371 1876.09,820.548 1874.54,820.726 1872.98,820.906 1871.42,821.088 1869.85,821.273 1868.27,821.459 1866.69,821.648 \n",
-       "  1865.1,821.838 1863.5,822.031 1861.9,822.226 1860.29,822.424 1858.67,822.624 1857.05,822.826 1855.42,823.031 1853.78,823.238 1852.13,823.448 1850.48,823.66 \n",
-       "  1848.82,823.875 1847.15,824.092 1845.48,824.312 1843.8,824.535 1842.11,824.761 1840.41,824.99 1838.7,825.221 1836.99,825.456 1835.27,825.694 1833.54,825.934 \n",
-       "  1831.8,826.178 1830.06,826.426 1828.3,826.676 1826.54,826.93 1824.76,827.187 1822.98,827.448 1821.19,827.712 1819.39,827.98 1817.59,828.252 1815.77,828.527 \n",
-       "  1813.94,828.807 1812.1,829.09 1810.26,829.378 1808.4,829.669 1806.53,829.965 1804.65,830.265 1802.77,830.57 1800.87,830.879 1798.96,831.192 1797.04,831.511 \n",
-       "  1795.11,831.834 1793.17,832.162 1791.22,832.495 1789.25,832.834 1787.27,833.178 1785.29,833.527 1783.29,833.881 1781.27,834.241 1779.25,834.607 1777.21,834.979 \n",
-       "  1775.16,835.358 1773.1,835.742 1771.02,836.132 1768.93,836.53 1766.83,836.934 1764.71,837.344 1762.58,837.762 1760.43,838.187 1758.27,838.62 1756.09,839.06 \n",
-       "  1753.9,839.507 1751.69,839.963 1749.47,840.427 1747.23,840.899 1744.98,841.38 1742.71,841.87 1740.42,842.369 1738.11,842.877 1735.79,843.395 1733.45,843.923 \n",
-       "  1731.09,844.46 1728.71,845.009 1726.31,845.567 1723.89,846.137 1721.46,846.718 1719,847.311 1716.52,847.916 1714.03,848.533 1711.51,849.163 1708.97,849.806 \n",
-       "  1706.4,850.462 1703.82,851.132 1701.21,851.816 1698.57,852.515 1695.92,853.23 1693.23,853.959 1690.53,854.705 1687.79,855.468 1685.03,856.247 1682.25,857.044 \n",
-       "  1679.43,857.859 1676.59,858.694 1673.72,859.547 1670.82,860.421 1667.89,861.315 1664.92,862.231 1661.93,863.168 1658.9,864.129 1655.84,865.113 1652.75,866.122 \n",
-       "  1649.62,867.155 1646.45,868.215 1643.25,869.302 1640.01,870.417 1636.73,871.561 1633.42,872.735 1630.06,873.94 1626.66,875.177 1623.21,876.448 1619.72,877.754 \n",
-       "  1616.19,879.095 1612.61,880.473 1608.98,881.89 1605.31,883.348 1601.58,884.847 1597.8,886.389 1593.97,887.976 1590.08,889.61 1586.13,891.293 1582.13,893.025 \n",
-       "  1578.06,894.811 1573.94,896.651 1569.75,898.548 1565.49,900.504 1561.16,902.521 1556.77,904.602 1552.3,906.751 1547.76,908.969 1543.14,911.259 1538.44,913.625 \n",
-       "  1533.66,916.069 1528.79,918.596 1523.84,921.208 1518.79,923.91 1513.65,926.705 1508.41,929.597 1503.07,932.591 1497.63,935.691 1492.08,938.902 1486.42,942.229 \n",
-       "  1480.64,945.677 1474.74,949.251 1468.71,952.957 1462.56,956.801 1456.27,960.79 1449.84,964.929 1443.27,969.225 1436.55,973.686 1429.67,978.319 1422.63,983.132 \n",
-       "  1415.42,988.133 1408.04,993.329 1400.47,998.731 1392.72,1004.35 1384.77,1010.18 1376.62,1016.25 1368.25,1022.57 1359.66,1029.13 1350.85,1035.96 1341.79,1043.06 \n",
-       "  1332.49,1050.45 1322.93,1058.13 1313.1,1066.11 1302.99,1074.41 1292.59,1083.04 1281.89,1092 1270.87,1101.31 1259.53,1110.97 1247.86,1120.99 1235.83,1131.38 \n",
-       "  1223.44,1142.15 1210.68,1153.28 1197.52,1164.8 1183.97,1176.69 1170,1188.95 1155.61,1201.57 1140.77,1214.54 1125.49,1227.84 1109.75,1241.44 1093.53,1255.32 \n",
-       "  1076.83,1269.44 1059.65,1283.74 1041.97,1298.19 1023.8,1312.71 1005.13,1327.22 985.962,1341.65 966.303,1355.89 946.161,1369.83 925.547,1383.36 904.479,1396.33 \n",
-       "  882.978,1408.6 861.07,1420.02 838.787,1430.43 816.167,1439.66 793.254,1447.54 770.096,1453.89 746.748,1458.56 723.272,1461.4 699.732,1462.26 676.198,1461.02 \n",
-       "  652.744,1457.59 629.445,1451.91 606.381,1443.94 583.629,1433.7 561.267,1421.22 539.37,1406.58 518.01,1389.9 497.254,1371.35 477.164,1351.09 457.795,1329.35 \n",
-       "  439.193,1306.36 421.398,1282.35 404.44,1257.58 388.34,1232.3 373.112,1206.75 358.761,1181.16 345.286,1155.75 332.675,1130.71 320.915,1106.21 309.983,1082.4 \n",
-       "  299.853,1059.4 290.496,1037.31 281.881,1016.21 273.97,996.144 266.73,977.15 260.122,959.243 254.109,942.423 248.655,926.679 243.722,911.987 239.275,898.315 \n",
-       "  235.28,885.626 231.704,873.876 228.515,863.019 225.684,853.005 223.182,843.786 220.984,835.31 219.064,827.528 217.399,820.393 215.969,813.858 214.753,807.878 \n",
-       "  213.734,802.41 212.893,797.414 212.216,792.851 211.689,788.688 211.298,784.89 211.032,781.426 210.879,778.268 210.829,775.39 210.874,772.767 211.005,770.377 \n",
-       "  211.213,768.198 211.493,766.213 211.839,764.403 212.243,762.754 212.701,761.25 213.209,759.878 213.762,758.626 214.355,757.484 214.986,756.441 215.651,755.488 \n",
-       "  216.348,754.618 217.073,753.821 217.824,753.092 218.599,752.424 219.396,751.812 220.213,751.251 221.048,750.735 221.901,750.262 222.769,749.825 223.651,749.424 \n",
-       "  224.547,749.053 225.455,748.711 226.374,748.395 227.303,748.101 228.243,747.829 229.191,747.577 230.148,747.342 231.112,747.122 232.084,746.917 233.062,746.725 \n",
-       "  234.047,746.545 235.038,746.376 236.034,746.217 237.036,746.066 238.043,745.924 239.054,745.789 240.07,745.66 241.09,745.538 242.115,745.421 243.143,745.309 \n",
-       "  244.175,745.201 245.211,745.097 246.25,744.998 247.293,744.901 248.339,744.807 249.388,744.717 250.44,744.628 251.495,744.542 252.553,744.458 253.614,744.375 \n",
-       "  254.678,744.294 255.744,744.215 256.813,744.137 257.885,744.059 258.959,743.983 260.036,743.908 261.116,743.834 262.198,743.76 263.283,743.687 264.37,743.614 \n",
-       "  265.459,743.542 266.551,743.47 267.646,743.398 268.743,743.326 269.842,743.255 270.944,743.184 272.049,743.113 273.155,743.042 274.265,742.97 275.376,742.899 \n",
-       "  276.49,742.828 277.607,742.756 278.726,742.685 279.847,742.613 280.971,742.541 282.098,742.469 283.227,742.397 284.358,742.324 285.492,742.251 286.628,742.178 \n",
-       "  287.767,742.104 288.908,742.03 290.052,741.956 291.199,741.881 292.348,741.806 293.5,741.731 294.654,741.655 295.811,741.579 296.97,741.502 298.132,741.425 \n",
-       "  299.297,741.347 300.464,741.269 301.634,741.191 302.807,741.112 303.983,741.032 305.161,740.952 306.342,740.872 307.526,740.79 308.712,740.709 309.902,740.627 \n",
-       "  311.094,740.544 312.289,740.461 313.487,740.377 314.688,740.292 315.891,740.207 317.098,740.121 318.308,740.035 319.52,739.948 320.736,739.861 321.954,739.773 \n",
-       "  323.176,739.684 324.4,739.594 325.628,739.504 326.859,739.414 328.093,739.322 329.33,739.23 330.57,739.137 331.814,739.044 333.06,738.949 334.31,738.854 \n",
-       "  335.563,738.759 336.82,738.662 338.08,738.565 339.343,738.467 340.609,738.368 341.879,738.269 343.153,738.168 344.429,738.067 345.71,737.965 346.994,737.862 \n",
-       "  348.281,737.759 349.572,737.654 350.866,737.549 352.164,737.443 353.466,737.336 354.772,737.228 356.081,737.119 357.394,737.009 358.71,736.898 360.031,736.786 \n",
-       "  361.355,736.674 362.684,736.56 364.016,736.445 365.352,736.33 366.692,736.213 368.036,736.095 369.384,735.977 370.736,735.857 372.093,735.736 373.453,735.614 \n",
-       "  374.818,735.491 376.187,735.367 377.56,735.242 378.938,735.115 380.32,734.988 381.706,734.859 383.097,734.729 384.492,734.597 385.892,734.465 387.296,734.331 \n",
-       "  388.705,734.196 390.119,734.06 391.537,733.922 392.96,733.783 394.388,733.643 395.82,733.501 397.258,733.358 398.7,733.214 400.148,733.068 401.6,732.92 \n",
-       "  403.058,732.771 404.52,732.621 405.988,732.469 407.461,732.315 408.94,732.16 410.424,732.004 411.913,731.845 413.407,731.685 414.907,731.523 416.413,731.36 \n",
-       "  417.924,731.195 419.441,731.028 420.964,730.859 422.493,730.688 424.027,730.516 425.567,730.341 427.114,730.165 428.666,729.987 430.225,729.807 431.79,729.624 \n",
-       "  433.361,729.44 434.939,729.253 436.522,729.065 438.113,728.874 439.71,728.681 441.314,728.486 442.924,728.288 444.541,728.088 446.165,727.886 447.796,727.681 \n",
-       "  449.435,727.474 451.08,727.264 452.732,727.051 454.392,726.836 456.06,726.619 457.734,726.398 459.417,726.175 461.107,725.949 462.805,725.721 464.51,725.489 \n",
-       "  466.224,725.254 467.946,725.016 469.676,724.775 471.415,724.531 473.161,724.284 474.917,724.033 476.681,723.779 478.454,723.522 480.235,723.261 482.026,722.997 \n",
-       "  483.826,722.728 485.635,722.456 487.453,722.181 489.281,721.901 491.119,721.618 492.966,721.33 494.823,721.038 496.691,720.742 498.568,720.442 500.456,720.137 \n",
-       "  502.355,719.828 504.264,719.514 506.184,719.195 508.115,718.872 510.057,718.544 512.011,718.21 513.976,717.872 515.953,717.528 517.942,717.178 519.942,716.823 \n",
-       "  521.955,716.463 523.981,716.097 526.019,715.724 528.07,715.346 530.134,714.961 532.211,714.571 534.302,714.173 536.407,713.769 538.525,713.358 540.658,712.94 \n",
-       "  542.805,712.514 544.967,712.082 547.144,711.641 549.336,711.193 551.544,710.737 553.768,710.273 556.007,709.8 558.263,709.319 560.535,708.828 562.825,708.329 \n",
-       "  565.132,707.821 567.456,707.302 569.798,706.774 572.159,706.236 574.538,705.687 576.936,705.128 579.354,704.557 581.791,703.976 584.248,703.382 586.726,702.777 \n",
-       "  589.225,702.159 591.746,701.529 594.288,700.886 596.852,700.229 599.44,699.558 602.05,698.873 604.684,698.173 607.343,697.459 610.026,696.728 612.734,695.982 \n",
-       "  615.469,695.218 618.23,694.438 621.018,693.64 623.833,692.824 626.677,691.989 629.55,691.135 632.452,690.26 635.385,689.365 638.349,688.448 641.345,687.51 \n",
-       "  644.373,686.548 647.434,685.563 650.53,684.553 653.661,683.518 656.828,682.457 660.031,681.369 663.273,680.252 666.553,679.107 669.873,677.932 673.234,676.725 \n",
-       "  676.636,675.487 680.082,674.214 683.572,672.907 687.107,671.565 690.689,670.184 694.319,668.765 697.999,667.306 701.729,665.805 705.511,664.261 709.347,662.672 \n",
-       "  713.238,661.036 717.186,659.351 721.193,657.616 725.26,655.828 729.39,653.985 733.583,652.086 737.843,650.127 742.171,648.107 746.569,646.023 751.04,643.871 \n",
-       "  755.585,641.65 760.209,639.357 764.912,636.987 769.697,634.539 774.568,632.009 779.527,629.392 784.578,626.687 789.722,623.887 794.965,620.99 800.308,617.992 \n",
-       "  805.756,614.887 811.313,611.671 816.981,608.338 822.766,604.885 828.672,601.305 834.702,597.593 840.862,593.742 847.157,589.747 853.591,585.601 860.17,581.297 \n",
-       "  866.899,576.829 873.784,572.188 880.832,567.366 888.048,562.357 895.439,557.152 903.012,551.741 910.774,546.116 918.733,540.267 926.896,534.186 935.272,527.862 \n",
-       "  943.869,521.284 952.696,514.444 961.763,507.33 971.077,499.931 980.651,492.238 990.494,484.239 1000.62,475.924 1011.03,467.283 1021.74,458.305 1032.77,448.982 \n",
-       "  1044.13,439.305 1055.82,429.266 1067.86,418.859 1080.27,408.08 1093.05,396.924 1106.22,385.392 1119.79,373.485 1133.78,361.209 1148.19,348.573 1163.05,335.589 \n",
-       "  1178.35,322.276 1194.12,308.659 1210.35,294.768 1227.07,280.642 1244.28,266.325 1261.98,251.875 1280.17,237.355 1298.86,222.841 1318.05,208.421 1337.74,194.192 \n",
-       "  1357.9,180.266 1378.53,166.764 1399.62,153.822 1421.14,141.584 1443.07,130.204 1465.37,119.845 1488,110.675 1510.93,102.864 1534.09,96.5809 1557.45,91.9887 \n",
-       "  1580.93,89.2407 1604.47,88.4751 1628,89.8098 1651.45,93.3375 1674.74,99.1213 1697.79,107.191 1720.53,117.539 1742.87,130.122 1764.75,144.855 1786.08,161.618 \n",
-       "  1806.81,180.255 1826.87,200.581 1846.2,222.382 1864.77,245.429 1882.53,269.477 1899.45,294.275 1915.51,319.574 1930.69,345.132 1945,370.717 1958.44,396.116 \n",
-       "  1971.01,421.136 1982.74,445.606 1993.63,469.381 2003.72,492.34 2013.05,514.384 2021.63,535.442 2029.51,555.459 2036.72,574.404 2043.3,592.262 2049.29,609.033 \n",
-       "  2054.72,624.729 2059.63,639.374 2064.05,653 2068.03,665.646 2071.59,677.354 2074.76,688.173 2077.57,698.149 2080.06,707.334 2082.25,715.778 2084.15,723.529 \n",
-       "  2085.81,730.635 2087.23,737.145 2088.43,743.101 2089.45,748.547 2090.28,753.523 2090.95,758.066 2091.47,762.212 2091.85,765.995 2092.12,769.444 2092.26,772.588 \n",
-       "  2092.31,775.455 2092.26,778.067 2092.13,780.447 2091.91,782.616 2091.63,784.593 2091.28,786.395 2090.88,788.038 2090.41,789.536 2089.9,790.902 2089.35,792.148 \n",
-       "  2088.76,793.286 2088.12,794.325 2087.46,795.273 2086.76,796.141 2086.03,796.934 2085.28,797.66 2084.5,798.325 2083.71,798.935 2082.89,799.494 2082.05,800.008 \n",
-       "  2081.2,800.48 2080.33,800.914 2079.45,801.314 2078.55,801.684 2077.64,802.025 2076.72,802.34 2075.79,802.632 2074.85,802.903 2073.9,803.155 2072.95,803.39 \n",
-       "  2071.98,803.608 2071.01,803.813 2070.03,804.004 2069.05,804.183 2068.06,804.352 2067.06,804.511 2066.06,804.661 2065.05,804.803 2064.04,804.938 2063.02,805.066 \n",
-       "  2062,805.189 2060.98,805.305 2059.95,805.417 2058.92,805.525 2057.88,805.628 2056.84,805.728 2055.8,805.824 2054.75,805.918 2053.7,806.008 2052.65,806.097 \n",
-       "  2051.6,806.183 2050.54,806.267 2049.48,806.349 2048.41,806.43 2047.35,806.51 2046.28,806.588 2045.2,806.665 2044.13,806.741 2043.05,806.816 2041.97,806.89 \n",
-       "  2040.89,806.964 2039.81,807.037 2038.72,807.11 2037.63,807.183 2036.54,807.255 2035.44,807.326 2034.35,807.398 2033.25,807.469 2032.14,807.54 2031.04,807.611 \n",
-       "  2029.93,807.683 2028.82,807.754 2027.71,807.825 2026.6,807.896 2025.48,807.968 2024.36,808.039 2023.24,808.111 2022.12,808.183 2020.99,808.255 2019.86,808.327 \n",
-       "  2018.73,808.4 2017.59,808.473 2016.46,808.546 2015.32,808.62 2014.18,808.694 2013.03,808.768 2011.89,808.843 2010.74,808.918 2009.59,808.993 2008.43,809.069 \n",
-       "  2007.27,809.145 2006.12,809.222 2004.95,809.299 2003.79,809.377 2002.62,809.455 2001.45,809.534 2000.28,809.613 1999.1,809.692 1997.92,809.772 1996.74,809.853 \n",
-       "  1995.56,809.934 1994.37,810.016 1993.18,810.098 1991.99,810.181 1990.79,810.264 1989.6,810.348 1988.4,810.432 1987.19,810.518 1985.99,810.603 1984.78,810.69 \n",
-       "  1983.56,810.776 1982.35,810.864 1981.13,810.952 1979.91,811.041 1978.68,811.13 1977.45,811.221 1976.22,811.311 1974.99,811.403 1973.75,811.495 1972.51,811.588 \n",
-       "  1971.27,811.681 1970.02,811.776 1968.77,811.871 1967.52,811.966 1966.26,812.063 1965,812.16 1963.74,812.258 1962.47,812.357 1961.2,812.457 1959.93,812.557 \n",
-       "  1958.65,812.658 1957.37,812.76 1956.09,812.863 1954.8,812.967 1953.51,813.071 1952.21,813.177 1950.91,813.283 1949.61,813.39 1948.31,813.498 1947,813.607 \n",
-       "  1945.68,813.717 1944.37,813.828 1943.05,813.939 1941.72,814.052 1940.39,814.166 1939.06,814.281 1937.73,814.396 1936.39,814.513 1935.04,814.631 1933.69,814.749 \n",
-       "  1932.34,814.869 1930.98,814.99 1929.62,815.112 1928.26,815.235 1926.89,815.359 1925.52,815.485 1924.14,815.611 1922.76,815.739 1921.37,815.868 1919.98,815.998 \n",
-       "  1918.58,816.129 1917.18,816.262 1915.78,816.396 1914.37,816.531 1912.96,816.667 1911.54,816.805 1910.11,816.944 1908.69,817.084 1907.25,817.226 1905.81,817.369 \n",
-       "  1904.37,817.514 1902.92,817.66 1901.47,817.807 1900.01,817.956 1898.55,818.107 1897.08,818.259 1895.61,818.412 1894.13,818.568 1892.65,818.724 1891.16,818.883 \n",
-       "  1889.66,819.043 1888.16,819.205 1886.66,819.368 1885.15,819.534 1883.63,819.701 1882.1,819.869 1880.58,820.04 1879.04,820.213 1877.5,820.387 1875.95,820.564 \n",
-       "  1874.4,820.742 1872.84,820.922 1871.28,821.105 1869.71,821.289 1868.13,821.476 1866.54,821.665 1864.95,821.856 1863.36,822.049 1861.75,822.244 1860.14,822.442 \n",
-       "  1858.52,822.642 1856.9,822.844 1855.27,823.049 1853.63,823.257 1851.98,823.467 1850.33,823.679 1848.67,823.894 1847,824.112 1845.33,824.332 1843.64,824.556 \n",
-       "  1841.95,824.782 1840.26,825.011 1838.55,825.243 1836.84,825.477 1835.11,825.715 1833.38,825.956 1831.64,826.201 1829.9,826.448 1828.14,826.699 1826.38,826.953 \n",
-       "  1824.6,827.211 1822.82,827.472 1821.03,827.736 1819.23,828.005 1817.42,828.277 1815.6,828.553 1813.77,828.832 1811.94,829.116 1810.09,829.404 1808.23,829.696 \n",
-       "  1806.36,829.992 1804.48,830.293 1802.6,830.598 1800.7,830.907 1798.79,831.221 1796.87,831.54 1794.94,831.864 1792.99,832.192 1791.04,832.526 1789.07,832.865 \n",
-       "  1787.1,833.209 1785.11,833.558 1783.1,833.913 1781.09,834.274 1779.07,834.641 1777.03,835.013 1774.97,835.392 1772.91,835.777 1770.83,836.168 1768.74,836.566 \n",
-       "  1766.64,836.97 1764.52,837.382 1762.38,837.8 1760.24,838.226 1758.07,838.659 1755.89,839.1 1753.7,839.548 1751.49,840.005 1749.27,840.469 1747.03,840.942 \n",
-       "  1744.77,841.424 1742.5,841.915 1740.21,842.414 1737.9,842.923 1735.58,843.442 1733.23,843.971 1730.87,844.509 1728.49,845.059 1726.09,845.618 1723.67,846.189 \n",
-       "  1721.24,846.772 1718.78,847.365 1716.3,847.971 1713.8,848.59 1711.28,849.221 1708.73,849.865 1706.17,850.522 1703.58,851.193 1700.97,851.879 1698.33,852.579 \n",
-       "  1695.67,853.295 1692.99,854.026 1690.28,854.773 1687.54,855.537 1684.78,856.318 1681.99,857.117 1679.18,857.934 1676.33,858.77 1673.46,859.625 1670.55,860.501 \n",
-       "  1667.62,861.397 1664.65,862.314 1661.66,863.254 1658.63,864.217 1655.56,865.203 1652.47,866.214 1649.33,867.25 1646.17,868.312 1642.96,869.402 1639.72,870.519 \n",
-       "  1636.44,871.666 1633.11,872.843 1629.75,874.051 1626.35,875.291 1622.9,876.565 1619.41,877.873 1615.87,879.218 1612.29,880.6 1608.65,882.021 1604.97,883.482 \n",
-       "  1601.24,884.984 1597.45,886.531 1593.62,888.122 1589.72,889.76 1585.77,891.447 1581.76,893.185 1577.69,894.975 1573.56,896.82 1569.36,898.722 1565.1,900.683 \n",
-       "  1560.77,902.707 1556.37,904.794 1551.89,906.948 1547.35,909.173 1542.72,911.47 1538.01,913.842 1533.22,916.294 1528.35,918.828 1523.38,921.449 1518.33,924.159 \n",
-       "  1513.18,926.962 1507.93,929.864 1502.59,932.867 1497.13,935.977 1491.57,939.198 1485.9,942.536 1480.11,945.995 1474.2,949.581 1468.16,953.299 1461.99,957.156 \n",
-       "  1455.69,961.158 1449.25,965.311 1442.67,969.622 1435.93,974.098 1429.04,978.747 1421.98,983.577 1414.76,988.595 1407.36,993.809 1399.78,999.23 1392.01,1004.86 \n",
-       "  1384.04,1010.72 1375.87,1016.82 1367.48,1023.15 1358.87,1029.74 1350.04,1036.59 1340.96,1043.72 1331.63,1051.13 1322.05,1058.84 1312.19,1066.85 1302.06,1075.18 \n",
-       "  1291.63,1083.84 1280.9,1092.83 1269.86,1102.17 1258.49,1111.86 1246.78,1121.92 1234.72,1132.34 1222.3,1143.14 1209.5,1154.31 1196.31,1165.86 1182.72,1177.78 \n",
-       "  1168.72,1190.08 1154.28,1202.73 1139.41,1215.73 1124.09,1229.05 1108.3,1242.68 1092.04,1256.59 1075.3,1270.72 1058.07,1285.05 1040.35,1299.5 1022.13,1314.02 \n",
-       "  1003.42,1328.53 984.204,1342.95 964.501,1357.17 944.315,1371.08 923.66,1384.55 902.552,1397.47 881.012,1409.67 859.069,1421.01 836.754,1431.32 814.106,1440.43 \n",
-       "  791.168,1448.18 767.991,1454.39 744.629,1458.9 721.144,1461.56 697.602,1462.23 674.072,1460.8 650.629,1457.17 627.348,1451.28 604.309,1443.11 581.589,1432.66 \n",
-       "  559.266,1419.98 537.414,1405.15 516.106,1388.3 495.409,1369.58 475.382,1349.18 456.08,1327.32 437.55,1304.22 419.829,1280.14 402.948,1255.31 386.926,1229.99 \n",
-       "  371.778,1204.43 357.507,1178.85 344.11,1153.46 331.577,1128.47 319.892,1104.02 309.034,1080.28 298.975,1057.36 289.687,1035.36 281.137,1014.35 273.289,994.382 \n",
-       "  266.107,975.485 259.554,957.677 253.594,940.955 248.188,925.307 243.3,910.709 238.896,897.128 234.94,884.526 231.4,872.858 228.245,862.079 225.444,852.139 \n",
-       "  222.971,842.989 220.799,834.578 218.903,826.857 217.261,819.778 215.85,813.295 214.653,807.363 213.65,801.939 212.825,796.984 212.163,792.459 211.649,788.33 \n",
-       "  211.269,784.563 211.014,781.128 210.87,777.997 210.83,775.143 210.882,772.542 211.02,770.171 211.236,768.011 211.522,766.042 211.873,764.248 212.282,762.612 \n",
-       "  212.745,761.12 213.257,759.76 213.814,758.519 214.411,757.386 215.045,756.351 215.713,755.406 216.412,754.543 217.14,753.752 217.893,753.029 218.67,752.367 \n",
-       "  219.469,751.76 220.288,751.202 221.125,750.691 221.979,750.221 222.848,749.788 223.732,749.389 224.629,749.021 225.537,748.681 226.458,748.367 227.388,748.076 \n",
-       "  228.328,747.806 229.277,747.555 230.234,747.321 231.2,747.103 232.172,746.899 233.151,746.709 234.136,746.53 235.128,746.361 236.124,746.203 237.127,746.053 \n",
-       "  238.134,745.911 239.146,745.777 240.162,745.649 241.183,745.527 242.208,745.41 243.237,745.299 244.269,745.191 245.305,745.088 246.345,744.989 247.387,744.892 \n",
-       "  248.434,744.799 249.483,744.708 250.535,744.62 251.591,744.534 252.649,744.45 253.71,744.368 254.774,744.287 255.841,744.208 256.91,744.13 257.982,744.053 \n",
-       "  259.057,743.977 260.134,743.901 261.214,743.827 262.296,743.753 263.381,743.68 264.468,743.607 265.558,743.535 266.65,743.463 267.745,743.391 268.842,743.32 \n",
-       "  269.942,743.249 271.044,743.177 272.149,743.106 273.256,743.035 274.365,742.964 275.477,742.893 276.591,742.821 277.708,742.75 278.827,742.678 279.949,742.607 \n",
-       "  281.073,742.535 282.2,742.463 283.329,742.39 284.46,742.318 285.594,742.245 286.731,742.171 287.87,742.098 289.012,742.024 290.156,741.949 291.303,741.875 \n",
-       "  292.452,741.8 293.604,741.724 294.758,741.648 295.915,741.572 297.075,741.495 298.237,741.418 299.402,741.34 300.57,741.262 301.74,741.184 302.913,741.105 \n",
-       "  304.089,741.025 305.268,740.945 306.449,740.864 307.633,740.783 308.82,740.701 310.009,740.619 311.202,740.536 312.397,740.453 313.595,740.369 314.796,740.285 \n",
-       "  316,740.199 317.207,740.114 318.417,740.027 319.63,739.94 320.846,739.853 322.065,739.765 323.286,739.676 324.511,739.586 325.739,739.496 326.97,739.405 \n",
-       "  328.205,739.314 329.442,739.222 330.683,739.129 331.926,739.035 333.173,738.941 334.424,738.846 335.677,738.75 336.934,738.653 338.194,738.556 339.457,738.458 \n",
-       "  340.724,738.359 341.994,738.26 343.268,738.159 344.545,738.058 345.826,737.956 347.11,737.853 348.397,737.749 349.689,737.645 350.984,737.539 352.282,737.433 \n",
-       "  353.584,737.326 354.89,737.218 356.199,737.109 357.513,736.999 358.83,736.888 360.151,736.776 361.475,736.664 362.804,736.55 364.136,736.435 365.473,736.319 \n",
-       "  366.813,736.203 368.158,736.085 369.506,735.966 370.859,735.846 372.216,735.725 373.577,735.603 374.942,735.48 376.311,735.356 377.685,735.23 379.063,735.104 \n",
-       "  380.445,734.976 381.832,734.847 383.223,734.717 384.619,734.586 386.019,734.453 387.423,734.319 388.833,734.184 390.247,734.048 391.665,733.91 393.089,733.771 \n",
-       "  394.517,733.63 395.95,733.488 397.388,733.345 398.831,733.201 400.279,733.054 401.732,732.907 403.19,732.758 404.653,732.607 406.121,732.455 407.595,732.301 \n",
-       "  409.074,732.146 410.558,731.989 412.048,731.831 413.543,731.671 415.043,731.509 416.549,731.345 418.061,731.18 419.579,731.013 421.102,730.844 422.631,730.673 \n",
-       "  424.166,730.5 425.707,730.326 427.254,730.149 428.807,729.971 430.366,729.79 431.932,729.608 433.503,729.423 435.082,729.236 436.666,729.048 438.257,728.857 \n",
-       "  439.855,728.663 441.459,728.468 443.07,728.27 444.688,728.07 446.313,727.867 447.944,727.662 449.583,727.455 451.229,727.245 452.882,727.032 454.543,726.817 \n",
-       "  456.211,726.599 457.886,726.378 459.569,726.155 461.26,725.929 462.959,725.7 464.665,725.468 466.38,725.233 468.102,724.995 469.833,724.753 471.572,724.509 \n",
-       "  473.32,724.261 475.076,724.011 476.841,723.756 478.614,723.499 480.397,723.237 482.188,722.972 483.989,722.704 485.799,722.432 487.618,722.156 489.447,721.876 \n",
-       "  491.285,721.592 493.134,721.304 494.992,721.012 496.86,720.715 498.739,720.415 500.628,720.109 502.527,719.8 504.437,719.485 506.358,719.166 508.29,718.842 \n",
-       "  510.234,718.514 512.188,718.18 514.154,717.841 516.132,717.496 518.122,717.146 520.124,716.791 522.138,716.43 524.165,716.063 526.204,715.69 528.256,715.312 \n",
-       "  530.321,714.926 532.4,714.535 534.492,714.137 536.598,713.732 538.718,713.32 540.852,712.901 543,712.475 545.164,712.042 547.342,711.601 549.536,711.152 \n",
-       "  551.745,710.695 553.969,710.23 556.21,709.757 558.468,709.275 560.742,708.784 563.033,708.284 565.341,707.774 567.667,707.255 570.011,706.726 572.373,706.187 \n",
-       "  574.754,705.637 577.154,705.077 579.573,704.505 582.012,703.923 584.472,703.328 586.952,702.722 589.452,702.103 591.975,701.471 594.519,700.827 597.085,700.169 \n",
-       "  599.675,699.497 602.287,698.81 604.924,698.109 607.584,697.393 610.27,696.661 612.981,695.913 615.717,695.149 618.481,694.367 621.271,693.567 624.089,692.749 \n",
-       "  626.936,691.913 629.811,691.056 632.716,690.18 635.652,689.283 638.619,688.364 641.617,687.424 644.648,686.46 647.713,685.472 650.812,684.461 653.946,683.423 \n",
-       "  657.116,682.36 660.323,681.269 663.568,680.15 666.852,679.002 670.175,677.824 673.54,676.615 676.946,675.373 680.396,674.098 683.89,672.787 687.429,671.441 \n",
-       "  691.016,670.058 694.65,668.635 698.334,667.172 702.069,665.667 705.856,664.119 709.697,662.526 713.593,660.885 717.546,659.196 721.558,657.456 725.631,655.664 \n",
-       "  729.766,653.816 733.966,651.911 738.231,649.947 742.566,647.921 746.97,645.831 751.448,643.673 756,641.446 760.631,639.146 765.341,636.769 770.134,634.314 \n",
-       "  775.013,631.776 779.98,629.151 785.039,626.437 790.193,623.629 795.444,620.723 800.797,617.715 806.254,614.6 811.821,611.374 817.5,608.031 823.295,604.567 \n",
-       "  829.212,600.975 835.254,597.25 841.426,593.387 847.733,589.379 854.18,585.219 860.772,580.9 867.515,576.416 874.415,571.759 881.477,566.921 888.709,561.895 \n",
-       "  896.116,556.671 903.706,551.241 911.486,545.596 919.463,539.727 927.645,533.624 936.041,527.277 944.658,520.677 953.506,513.812 962.595,506.673 971.933,499.248 \n",
-       "  981.53,491.527 991.398,483.5 1001.55,475.156 1011.99,466.484 1022.73,457.476 1033.79,448.121 1045.17,438.412 1056.89,428.34 1068.97,417.9 1081.41,407.086 \n",
-       "  1094.22,395.897 1107.43,384.331 1121.04,372.39 1135.06,360.081 1149.52,347.412 1164.41,334.398 1179.76,321.057 1195.56,307.414 1211.85,293.5 1228.61,279.354 \n",
-       "  1245.86,265.023 1263.6,250.563 1281.84,236.04 1300.58,221.532 1319.81,207.124 1339.54,192.918 1359.75,179.025 1380.42,165.569 1401.55,152.684 1423.11,140.517 \n",
-       "  1445.07,129.222 1467.4,118.964 1490.06,109.91 1513.01,102.23 1536.2,96.0936 1559.57,91.6621 1583.06,89.088 1606.6,88.5079 1630.13,90.0375 1653.57,93.7671 \n",
-       "  1676.84,99.757 1699.86,108.034 1722.57,118.587 1744.87,131.368 1766.7,146.29 1787.98,163.229 1808.65,182.027 1828.64,202.495 1847.91,224.419 1866.41,247.567 \n",
-       "  1884.09,271.693 1900.93,296.547 1916.92,321.879 1932.02,347.448 1946.26,373.025 1959.61,398.397 1972.11,423.374 1983.75,447.787 1994.58,471.493 2004.6,494.373 \n",
-       "  2013.85,516.331 2022.37,537.296 2030.19,557.217 2037.34,576.064 2043.87,593.824 2049.8,610.496 2055.18,626.096 2060.05,640.648 2064.43,654.184 2068.37,666.743 \n",
-       "  2071.89,678.369 2075.03,689.109 2077.81,699.012 2080.27,708.128 2082.43,716.506 2084.31,724.197 2085.95,731.248 2087.35,737.706 2088.53,743.614 2089.53,749.016 \n",
-       "  2090.35,753.951 2091,758.457 2091.51,762.569 2091.88,766.32 2092.13,769.74 2092.27,772.859 2092.31,775.701 2092.25,778.291 2092.11,780.652 2091.89,782.803 \n",
-       "  2091.6,784.763 2091.25,786.55 2090.84,788.179 2090.37,789.665 2089.86,791.019 2089.3,792.255 2088.7,793.384 2088.06,794.414 2087.39,795.355 2086.69,796.216 \n",
-       "  2085.96,797.002 \n",
-       "  \"/>\n",
-       "<circle clip-path=\"url(#clip7703)\" style=\"fill:#000000; stroke:none; fill-opacity:1\" cx=\"2081.47\" cy=\"97.2569\" r=\"18\"/>\n",
-       "<circle clip-path=\"url(#clip7703)\" style=\"fill:#c271d2; stroke:none; fill-opacity:1\" cx=\"2081.47\" cy=\"97.2569\" r=\"14\"/>\n",
-       "</svg>\n"
-      ]
-     },
-     "execution_count": 97,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "plot!(first.(soln), last.(soln), leg=false)\n",
     "scatter!([first(soln[1])], [last(soln[1])])"
diff --git a/examples/User guide.ipynb b/examples/User guide.ipynb
index e534c06f..2857b6b1 100644
--- a/examples/User guide.ipynb	
+++ b/examples/User guide.ipynb	
@@ -37,31 +37,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "WARNING: New definition \n",
-      "    /(TaylorSeries.Taylor1{#T<:Real}, #T<:Real) at /Users/benet/.julia/v0.4/TaylorSeries/src/Taylor1.jl:261\n",
-      "is ambiguous with: \n",
-      "    /(TaylorSeries.Taylor1{Base.Rational{#T<:Integer}}, #S<:Union{Base.Complex, Real}) at /Users/benet/.julia/v0.4/TaylorSeries/src/Taylor1.jl:254.\n",
-      "To fix, define \n",
-      "    /(TaylorSeries.Taylor1{_<:Base.Rational{#T<:Integer}}, _<:Base.Rational{#T<:Integer})\n",
-      "before the new definition.\n"
-     ]
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "using TaylorSeries"
    ]
@@ -87,94 +72,43 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1 + 2 t + 3 t² + 𝒪(t³)"
-      ]
-     },
-     "execution_count": 2,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "Taylor1([1, 2, 3]) # Polynomial of order 2 with coefficients 1, 2, 3"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " ( 1.0 im ) t + 𝒪(t²)"
-      ]
-     },
-     "execution_count": 3,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "Taylor1([0.0, 1im]) # Also works with complex numbers"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "affine (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 4,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "affine(a) = a + Taylor1(typeof(a),5)  ## a + t of order 5"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 t + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 5,
-     "metadata": {},
-     "output_type": "execute_result"
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "t = affine(0.0) # Independent variable `t`"
    ]
@@ -199,154 +133,63 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 2.5 t + 3.0 t² + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 6,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "t*(3t+2.5)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 + 1.0 t + 1.0 t² + 1.0 t³ + 1.0 t⁴ + 1.0 t⁵ + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 7,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "1/(1-t)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " - 2.0 t + 1.0 t² + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 8,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "t*(t^2-4)/(t+2)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " ( 1.0 im ) t + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 9,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "tI = im*t"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 0.0 + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 10,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "t^6  # order is 5"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 - 3.2 t + 3.5200000000000005 t² - 1.4080000000000004 t³ + 0.07040000000000009 t⁴ + 0.011264000000000012 t⁵ + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 11,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "(1-t)^3.2"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 + 1.0 t² - 0.5 t³ + 0.8333333333333333 t⁴ - 0.75 t⁵ + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 12,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "(1+t)^t"
    ]
@@ -360,52 +203,25 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "ename": "LoadError",
-     "evalue": "ArgumentError: Division does not define a Taylor1 polynomial\nor its first non-zero coefficient is Inf/NaN.\nOrder k=0 => coeff[1]=Inf.",
-     "output_type": "error",
-     "traceback": [
-      "ArgumentError: Division does not define a Taylor1 polynomial\nor its first non-zero coefficient is Inf/NaN.\nOrder k=0 => coeff[1]=Inf.",
-      "",
-      " in divfactorization at /Users/benet/.julia/v0.4/TaylorSeries/src/Taylor1.jl:308",
-      " in / at /Users/benet/.julia/v0.4/TaylorSeries/src/Taylor1.jl:284",
-      " in / at promotion.jl:170"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "1/t "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "ename": "LoadError",
-     "evalue": "ArgumentError: The 0th order Taylor1 coefficient must be non-zero\nto raise the Taylor1 polynomial to a non-integer exponent.",
-     "output_type": "error",
-     "traceback": [
-      "ArgumentError: The 0th order Taylor1 coefficient must be non-zero\nto raise the Taylor1 polynomial to a non-integer exponent.",
-      "",
-      " in ^ at /Users/benet/.julia/v0.4/TaylorSeries/src/Taylor1.jl:450"
-     ]
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "t^3.2"
    ]
@@ -425,160 +241,70 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 + 1.0 t + 0.5 t² + 0.16666666666666666 t³ + 0.041666666666666664 t⁴ + 0.008333333333333333 t⁵ + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 15,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "exp(t)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " - 1.0 t - 0.5 t² - 0.3333333333333333 t³ - 0.25 t⁴ - 0.2 t⁵ + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 16,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "log(1-t)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "ename": "LoadError",
-     "evalue": "ArgumentError: First non-vanishing Taylor1 coefficient must correspond\nto an **even power** in order to expand `sqrt` around 0.",
-     "output_type": "error",
-     "traceback": [
-      "ArgumentError: First non-vanishing Taylor1 coefficient must correspond\nto an **even power** in order to expand `sqrt` around 0.",
-      "",
-      " in sqrt at /Users/benet/.julia/v0.4/TaylorSeries/src/Taylor1.jl:563"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "sqrt(t)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 + 0.5 t - 0.125 t² + 0.0625 t³ - 0.0390625 t⁴ + 0.02734375 t⁵ + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 18,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "sqrt(1 + t)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " - 1.0 t + 0.16666666666666666 t³ - 0.008333333333333333 t⁵ + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 19,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "imag(exp(tI)')"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "true"
-      ]
-     },
-     "execution_count": 20,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "real(exp(Taylor1([0.0,1im],17))) - cos(Taylor1([0.0,1.0],17)) == 0.0"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1//1 + 1//1 t + 1//2 t² + 1//6 t³ + 1//24 t⁴ + 1//120 t⁵ + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 21,
-     "metadata": {},
-     "output_type": "execute_result"
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "convert(Taylor1{Rational{Int}}, exp(t))"
    ]
@@ -597,132 +323,54 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 + 1.0 t + 0.5 t² + 0.16666666666666666 t³ + 0.041666666666666664 t⁴ + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 22,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "derivative(exp(t))"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 t + 0.5 t² + 0.16666666666666666 t³ + 0.041666666666666664 t⁴ + 0.008333333333333333 t⁵ + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 23,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "integrate(exp(t))"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 + 1.0 t + 0.5 t² + 0.16666666666666666 t³ + 0.041666666666666664 t⁴ + 0.008333333333333333 t⁵ + 𝒪(t⁶)"
-      ]
-     },
-     "execution_count": 24,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "integrate( exp(t), 1.0)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "true"
-      ]
-     },
-     "execution_count": 25,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "integrate( derivative( exp(-t)), 1.0 ) == exp(-t)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "true"
-      ]
-     },
-     "execution_count": 26,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "evaluate(derivative(exp(affine(1.0))),0.) == exp(1.0)  # deriv of `exp(1+t)` at t=0"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "true"
-      ]
-     },
-     "execution_count": 27,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "derivative(5, exp(affine(1.0))) == exp(1.0) # Fifth derivative of `exp(1+t) at t=0`"
    ]
@@ -739,66 +387,27 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "0.0"
-      ]
-     },
-     "execution_count": 28,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "evaluate(exp(affine(1.0))) - e # exp(t) around t0=1 (order 5), evaluated there (dt=0)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "-0.0016151617923783057"
-      ]
-     },
-     "execution_count": 29,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "evaluate(exp(t), 1) - e # exp(t) around t0=0 (order 5), evaluated at t=1"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "0.0"
-      ]
-     },
-     "execution_count": 30,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "evaluate( exp( Taylor1(Float64,17) ), 1) - e # exp(t) around t0=0 (order 17), evaluated at t=1\n",
     "0.0"
@@ -806,72 +415,34 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.000000000000000000000000000000000000000000000000000000000000000000000000000000 t + 𝒪(t⁵¹)"
-      ]
-     },
-     "execution_count": 31,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "tBig = Taylor1([zero(BigFloat),one(BigFloat)],50) # With BigFloats"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 32,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "2.718281828459045235360287471352662497757247093699959574966967627723419298053556"
-      ]
-     },
-     "execution_count": 32,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "eBig = evaluate( exp(tBig), one(BigFloat) )"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 33,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "6.573322999985292556154129119543257102601105719980995128942636339920549561322098e-67"
-      ]
-     },
-     "execution_count": 33,
-     "metadata": {},
-     "output_type": "execute_result"
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "e - eBig"
    ]
@@ -900,125 +471,52 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "2-element Array{TaylorSeries.TaylorN{Float64},1}:\n",
-       "  1.0 x + 𝒪(‖x‖⁷)\n",
-       "  1.0 y + 𝒪(‖x‖⁷)"
-      ]
-     },
-     "execution_count": 34,
-     "metadata": {},
-     "output_type": "execute_result"
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "x, y = set_variables(\"x y\")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 x + 𝒪(‖x‖⁷)"
-      ]
-     },
-     "execution_count": 35,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "x"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "TaylorSeries.TaylorN{Float64}"
-      ]
-     },
-     "execution_count": 36,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "typeof(x)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "6"
-      ]
-     },
-     "execution_count": 37,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "x.order"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 38,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "7-element Array{TaylorSeries.HomogeneousPolynomial{Float64},1}:\n",
-       "    0.0\n",
-       "  1.0 x\n",
-       "    0.0\n",
-       "    0.0\n",
-       "    0.0\n",
-       "    0.0\n",
-       "    0.0"
-      ]
-     },
-     "execution_count": 38,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "x.coeffs"
    ]
@@ -1032,24 +530,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "2-element Array{TaylorSeries.TaylorN{Float64},1}:\n",
-       "  1.0 x + 𝒪(‖x‖¹¹)\n",
-       "  1.0 y + 𝒪(‖x‖¹¹)"
-      ]
-     },
-     "execution_count": 39,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "set_variables(\"x y\", order=10)"
    ]
@@ -1064,31 +547,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "3-element Array{TaylorSeries.TaylorN{Float64},1}:\n",
-       "  1.0 α₁ + 𝒪(‖x‖⁷)\n",
-       "  1.0 α₂ + 𝒪(‖x‖⁷)\n",
-       "  1.0 α₃ + 𝒪(‖x‖⁷)"
-      ]
-     },
-     "execution_count": 40,
-     "metadata": {},
-     "output_type": "execute_result"
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "set_variables(\"α\", numvars=3)"
    ]
@@ -1102,29 +570,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "\u001b[1m\u001b[34mINFO: Parameters for `TaylorN` and `HomogeneousPolynomial`:\n",
-      "Maximum order       = 6\n",
-      "Number of variables = 3\n",
-      "Variable names      = Union{ASCIIString,UTF8String}[\"α₁\",\"α₂\",\"α₃\"]\n",
-      "\u001b[0m"
-     ]
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "show_params_TaylorN()"
    ]
@@ -1152,10 +607,8 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
-   "metadata": {
-    "collapsed": true
-   },
+   "execution_count": null,
+   "metadata": {},
    "outputs": [],
    "source": [
     "set_variables(\"x\", numvars=2);"
@@ -1163,50 +616,25 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 43,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1 x₁ - 1 x₂"
-      ]
-     },
-     "execution_count": 43,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "HomogeneousPolynomial([1,-1])"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 44,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1 x₁ + 1 x₁² + 2 x₁ x₂ + 3 x₂² + 𝒪(‖x‖⁵)"
-      ]
-     },
-     "execution_count": 44,
-     "metadata": {},
-     "output_type": "execute_result"
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "TaylorN( [HomogeneousPolynomial([1,0]), HomogeneousPolynomial([1,2,3])], 4)"
    ]
@@ -1226,10 +654,8 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 45,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": null,
+   "metadata": {},
    "outputs": [],
    "source": [
     "x, y = set_variables(\"x y\", order=10);"
@@ -1237,28 +663,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 46,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 + 1.0 x + 1.0 y + 0.5 x² + 1.0 x y + 0.5 y² + 0.16666666666666666 x³ + 0.5 x² y + 0.5 x y² + 0.16666666666666666 y³ + 0.041666666666666664 x⁴ + 0.16666666666666666 x³ y + 0.25 x² y² + 0.16666666666666666 x y³ + 0.041666666666666664 y⁴ + 0.008333333333333333 x⁵ + 0.041666666666666664 x⁴ y + 0.08333333333333333 x³ y² + 0.08333333333333333 x² y³ + 0.041666666666666664 x y⁴ + 0.008333333333333333 y⁵ + 0.0013888888888888887 x⁶ + 0.008333333333333331 x⁵ y + 0.020833333333333332 x⁴ y² + 0.027777777777777776 x³ y³ + 0.020833333333333332 x² y⁴ + 0.008333333333333331 x y⁵ + 0.0013888888888888887 y⁶ + 0.00019841269841269839 x⁷ + 0.0013888888888888885 x⁶ y + 0.004166666666666666 x⁵ y² + 0.006944444444444443 x⁴ y³ + 0.006944444444444443 x³ y⁴ + 0.004166666666666666 x² y⁵ + 0.0013888888888888885 x y⁶ + 0.00019841269841269839 y⁷ + 2.4801587301587298e-5 x⁸ + 0.00019841269841269836 x⁷ y + 0.0006944444444444443 x⁶ y² + 0.0013888888888888887 x⁵ y³ + 0.0017361111111111108 x⁴ y⁴ + 0.0013888888888888887 x³ y⁵ + 0.0006944444444444443 x² y⁶ + 0.00019841269841269836 x y⁷ + 2.4801587301587298e-5 y⁸ + 2.7557319223985884e-6 x⁹ + 2.4801587301587295e-5 x⁸ y + 9.920634920634918e-5 x⁷ y² + 0.0002314814814814814 x⁶ y³ + 0.0003472222222222221 x⁵ y⁴ + 0.0003472222222222221 x⁴ y⁵ + 0.0002314814814814814 x³ y⁶ + 9.920634920634918e-5 x² y⁷ + 2.4801587301587295e-5 x y⁸ + 2.7557319223985884e-6 y⁹ + 2.7557319223985883e-7 x¹⁰ + 2.7557319223985884e-6 x⁹ y + 1.2400793650793647e-5 x⁸ y² + 3.306878306878306e-5 x⁷ y³ + 5.787037037037036e-5 x⁶ y⁴ + 6.944444444444443e-5 x⁵ y⁵ + 5.787037037037036e-5 x⁴ y⁶ + 3.306878306878306e-5 x³ y⁷ + 1.2400793650793647e-5 x² y⁸ + 2.7557319223985884e-6 x y⁹ + 2.7557319223985883e-7 y¹⁰ + 𝒪(‖x‖¹¹)"
-      ]
-     },
-     "execution_count": 46,
-     "metadata": {},
-     "output_type": "execute_result"
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "exy = exp(x+y)"
    ]
@@ -1274,44 +688,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 47,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "TaylorSeries.TaylorN{Float64}"
-      ]
-     },
-     "execution_count": 47,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "typeof(exy)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 48,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "1//720"
-      ]
-     },
-     "execution_count": 48,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "rationalize(getcoeff(exy, [3,5]))"
    ]
@@ -1326,117 +714,52 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 49,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "f (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 49,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "f(x,y) = x^3 + 2x^2 * y - 7x + 2"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 50,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "g (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 50,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "g(x,y) = y - x^4"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 51,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " - 7.0 + 3.0 x² + 4.0 x y + 𝒪(‖x‖¹¹)"
-      ]
-     },
-     "execution_count": 51,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "derivative( f(x,y), 1 )   # partial derivative with respect to 1st variable"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 52,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 + 𝒪(‖x‖¹¹)"
-      ]
-     },
-     "execution_count": 52,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "derivative( g(x,y), 2 )"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 53,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "ename": "LoadError",
-     "evalue": "AssertionError: 1 <= r <= get_numvars()",
-     "output_type": "error",
-     "traceback": [
-      "AssertionError: 1 <= r <= get_numvars()",
-      "",
-      " in derivative at /Users/benet/.julia/v0.4/TaylorSeries/src/TaylorN.jl:948",
-      " in derivative at /Users/benet/.julia/v0.4/TaylorSeries/src/TaylorN.jl:982"
-     ]
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "derivative( g(x,y), 3 )   # error, since we are dealing with 2 variables"
    ]
@@ -1452,22 +775,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 54,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "true"
-      ]
-     },
-     "execution_count": 54,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "evaluate(exy, [.1,.02]) == e^0.12"
    ]
@@ -1486,162 +796,63 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 55,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 2.0 - 7.0 x + 1.0 x³ + 2.0 x² y + 𝒪(‖x‖¹¹)"
-      ]
-     },
-     "execution_count": 55,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "f1 = f(x,y)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 56,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 y - 1.0 x⁴ + 𝒪(‖x‖¹¹)"
-      ]
-     },
-     "execution_count": 56,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "g1 = g(x,y)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 57,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "2-element Array{TaylorSeries.TaylorN{Float64},1}:\n",
-       "  - 4.0 x³ + 𝒪(‖x‖¹¹)\n",
-       "       1.0 + 𝒪(‖x‖¹¹)"
-      ]
-     },
-     "execution_count": 57,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "gradient( g1 )"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 58,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "2-element Array{TaylorSeries.TaylorN{Float64},1}:\n",
-       "  - 7.0 + 3.0 x² + 4.0 x y + 𝒪(‖x‖¹¹)\n",
-       "                    2.0 x² + 𝒪(‖x‖¹¹)"
-      ]
-     },
-     "execution_count": 58,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "∇(f1)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 59,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 2.0 - 7.0 x - 5.0 y + 14.0 x y + 1.0 x³ + 2.0 x² y + 5.0 x⁴ - 2.0 x³ y - 4.0 x² y² - 14.0 x⁵ + 2.0 x⁷ + 4.0 x⁶ y + 𝒪(‖x‖¹¹)"
-      ]
-     },
-     "execution_count": 59,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "fg = f1-g1-2*f1*g1"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 60,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "2x2 Array{Float64,2}:\n",
-       "  13.0  8.0\n",
-       " -32.0  1.0"
-      ]
-     },
-     "execution_count": 60,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "jacobian([f1,g1], [2,1])"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 61,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "2x2 Array{Float64,2}:\n",
-       " -26.0  20.0\n",
-       "  20.0  -8.0"
-      ]
-     },
-     "execution_count": 61,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "hessian(fg, [1.0,1.0])"
    ]
@@ -1671,22 +882,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 62,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "make_variable (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 62,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "# Define the variables α₁, ..., α₄, β₁, ..., β₄\n",
     "make_variable(name, index::Int) = string(name, TaylorSeries.subscriptify(index))\n"
@@ -1694,15 +892,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 63,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": true
+    }
    },
    "outputs": [],
    "source": [
@@ -1713,10 +910,8 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 64,
-   "metadata": {
-    "collapsed": true
-   },
+   "execution_count": null,
+   "metadata": {},
    "outputs": [],
    "source": [
     "# Create the Taylor objects (order 4, numvars=8)\n",
@@ -1725,44 +920,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 65,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 α₁ + 𝒪(‖x‖⁵)"
-      ]
-     },
-     "execution_count": 65,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "a1"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 66,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 β₁ + 𝒪(‖x‖⁵)"
-      ]
-     },
-     "execution_count": 66,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "b1"
    ]
@@ -1776,28 +945,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 67,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 α₁² β₁² + 1.0 α₁² β₂² + 1.0 α₁² β₃² + 1.0 α₁² β₄² + 1.0 α₂² β₁² + 1.0 α₂² β₂² + 1.0 α₂² β₃² + 1.0 α₂² β₄² + 1.0 α₃² β₁² + 1.0 α₃² β₂² + 1.0 α₃² β₃² + 1.0 α₃² β₄² + 1.0 α₄² β₁² + 1.0 α₄² β₂² + 1.0 α₄² β₃² + 1.0 α₄² β₄² + 𝒪(‖x‖⁵)"
-      ]
-     },
-     "execution_count": 67,
-     "metadata": {},
-     "output_type": "execute_result"
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "# left-hand side\n",
     "lhs1 = a1^2 + a2^2 + a3^2 + a4^2;\n",
@@ -1807,22 +964,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 68,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       " 1.0 α₁² β₁² + 1.0 α₁² β₂² + 1.0 α₁² β₃² + 1.0 α₁² β₄² + 1.0 α₂² β₁² + 1.0 α₂² β₂² + 1.0 α₂² β₃² + 1.0 α₂² β₄² + 1.0 α₃² β₁² + 1.0 α₃² β₂² + 1.0 α₃² β₃² + 1.0 α₃² β₄² + 1.0 α₄² β₁² + 1.0 α₄² β₂² + 1.0 α₄² β₃² + 1.0 α₄² β₄² + 𝒪(‖x‖⁵)"
-      ]
-     },
-     "execution_count": 68,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "# right-hand side\n",
     "rhs1 = (a1*b1 + a2*b2 + a3*b3 + a4*b4)^2;\n",
@@ -1834,28 +978,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 69,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "true"
-      ]
-     },
-     "execution_count": 69,
-     "metadata": {},
-     "output_type": "execute_result"
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "lhs == rhs"
    ]
@@ -1884,10 +1016,8 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 70,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": null,
+   "metadata": {},
    "outputs": [],
    "source": [
     "set_variables(\"x\", numvars=4, order=40);"
@@ -1895,22 +1025,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 71,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "fateman1 (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 71,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "function fateman1(degree::Int)\n",
     "    T = Int128\n",
@@ -1926,38 +1043,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 72,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "  0.205706 seconds (198.63 k allocations: 8.903 MB, 2.13% gc time)\n"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "@time f1 = fateman1(0) #for compilation; "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 73,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "  2.694599 seconds (4.12 k allocations: 25.513 MB, 0.16% gc time)\n"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "@time f1 = fateman1(20);"
    ]
@@ -1971,22 +1068,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 74,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "fateman2 (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 74,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "function fateman2(degree::Int)\n",
     "    T = Int128\n",
@@ -2002,88 +1086,43 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 75,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "  0.006899 seconds (7.60 k allocations: 333.759 KB)\n"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "@time f2 = fateman2(0) #for compilation;"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 76,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "  1.291331 seconds (4.05 k allocations: 24.573 MB, 0.24% gc time)\n"
-     ]
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "@time f2 = fateman2(20);"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 77,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "128358585324486316800"
-      ]
-     },
-     "execution_count": 77,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
    "source": [
     "getcoeff(f2,[1,6,7,20]) # coef x^1 y^6 z^7 w^{20}"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 78,
+   "execution_count": null,
    "metadata": {
     "attributes": {
      "classes": [
       "julia"
      ],
      "id": ""
-    },
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "135751"
-      ]
-     },
-     "execution_count": 78,
-     "metadata": {},
-     "output_type": "execute_result"
     }
-   ],
+   },
+   "outputs": [],
    "source": [
     "sum(TaylorSeries.size_table) # number of distinct monomials"
    ]
@@ -2104,9 +1143,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "metadata": {
-    "collapsed": true
-   },
+   "metadata": {},
    "outputs": [],
    "source": []
   }