AR4.ipynb

{
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8-final"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3.8.8 64-bit ('stingray': conda)",
   "metadata": {
    "interpreter": {
     "hash": "2a507ae390fae7094426b2d7afd0898b7dec2b3e09479bc0d27155194409f970"
    }
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2,
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "from stingray import Powerspectrum, Multitaper, Lightcurve, plot_dB\n",
    "from scipy import signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "WARNING:root:Checking if light curve is well behaved. This can take time, so if you are sure it is already sorted, specify skip_checks=True at light curve creation.\n",
      "WARNING:root:Checking if light curve is sorted.\n",
      "WARNING:root:Computing the bin time ``dt``. This can take time. If you know the bin time, please specify it at light curve creation\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"248.518125pt\" version=\"1.1\" viewBox=\"0 0 375.2875 248.518125\" width=\"375.2875pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-03-14T16:32:41.987714</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.3.4, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 248.518125 \nL 375.2875 248.518125 \nL 375.2875 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 33.2875 224.64 \nL 368.0875 224.64 \nL 368.0875 7.2 \nL 33.2875 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m48652c9e42\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"48.505682\" xlink:href=\"#m48652c9e42\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(45.324432 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"109.439343\" xlink:href=\"#m48652c9e42\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 200 -->\n      <g transform=\"translate(99.895593 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"170.373004\" xlink:href=\"#m48652c9e42\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 400 -->\n      <g transform=\"translate(160.829254 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"231.306665\" xlink:href=\"#m48652c9e42\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 600 -->\n      <g transform=\"translate(221.762915 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"292.240326\" xlink:href=\"#m48652c9e42\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 800 -->\n      <g transform=\"translate(282.696576 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-56\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"353.173986\" xlink:href=\"#m48652c9e42\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1000 -->\n      <g transform=\"translate(340.448986 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mbe9b886ba6\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbe9b886ba6\" y=\"214.756364\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 0 -->\n      <g transform=\"translate(19.925 218.555582)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbe9b886ba6\" y=\"188.569451\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 25 -->\n      <g transform=\"translate(13.5625 192.36867)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbe9b886ba6\" y=\"162.382538\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 50 -->\n      <g transform=\"translate(13.5625 166.181757)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbe9b886ba6\" y=\"136.195626\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 75 -->\n      <g transform=\"translate(13.5625 139.994845)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbe9b886ba6\" y=\"110.008713\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 100 -->\n      <g transform=\"translate(7.2 113.807932)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbe9b886ba6\" y=\"83.821801\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 125 -->\n      <g transform=\"translate(7.2 87.621019)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbe9b886ba6\" y=\"57.634888\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 150 -->\n      <g transform=\"translate(7.2 61.434107)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#mbe9b886ba6\" y=\"31.447975\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 175 -->\n      <g transform=\"translate(7.2 35.247194)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_15\">\n    <path clip-path=\"url(#pfa9a05de3f)\" d=\"M 48.505682 119.235972 \nL 48.81035 122.104101 \nL 49.115018 122.189102 \nL 49.419687 117.830108 \nL 50.029023 103.425351 \nL 50.333692 103.133911 \nL 50.63836 112.614475 \nL 51.247697 140.833069 \nL 51.552365 141.079827 \nL 51.857033 126.672837 \nL 52.46637 89.218045 \nL 52.771038 87.421801 \nL 53.075706 101.682633 \nL 53.685043 144.023984 \nL 53.989711 147.918263 \nL 54.29438 136.384261 \nL 54.903716 94.1264 \nL 55.208385 83.467734 \nL 55.513053 90.273457 \nL 56.427058 148.006967 \nL 56.731726 140.805413 \nL 57.341063 98.321305 \nL 57.645731 90.223418 \nL 57.950399 100.61003 \nL 58.559736 140.972656 \nL 58.864404 141.630456 \nL 59.169072 124.811455 \nL 59.473741 101.835487 \nL 59.778409 90.47994 \nL 60.083077 101.095922 \nL 60.692414 152.628634 \nL 60.997082 156.12912 \nL 61.301751 133.566478 \nL 61.911087 72.95847 \nL 62.215756 75.008888 \nL 63.12976 171.810826 \nL 63.434429 163.260391 \nL 64.043765 85.164978 \nL 64.348434 66.687174 \nL 64.653102 82.502778 \nL 65.262439 153.293129 \nL 65.567107 160.279774 \nL 65.871775 137.846892 \nL 66.176443 103.022089 \nL 66.481112 81.348359 \nL 66.78578 88.228861 \nL 67.395117 145.341214 \nL 67.699785 151.236669 \nL 68.004453 132.435993 \nL 68.309122 105.40591 \nL 68.61379 90.324128 \nL 68.918458 96.225858 \nL 69.527795 133.103238 \nL 69.832463 139.40183 \nL 70.137131 131.983494 \nL 70.746468 107.395545 \nL 71.051136 104.684641 \nL 71.660473 113.507799 \nL 72.26981 120.206986 \nL 72.879146 126.848887 \nL 73.183814 126.937532 \nL 73.488483 122.850782 \nL 74.402488 98.237705 \nL 74.707156 100.197294 \nL 75.011824 111.899045 \nL 75.621161 144.275239 \nL 75.925829 149.678057 \nL 76.230498 140.130567 \nL 77.144502 68.974913 \nL 77.449171 73.71058 \nL 77.753839 102.433031 \nL 78.363176 171.721946 \nL 78.667844 176.359103 \nL 78.972512 154.419348 \nL 79.581849 85.751069 \nL 79.886517 73.707425 \nL 80.191186 83.477304 \nL 80.800522 130.355455 \nL 81.10519 144.173027 \nL 81.409859 144.623306 \nL 82.9332 101.766781 \nL 83.237869 101.121312 \nL 83.542537 107.808239 \nL 84.151873 130.676433 \nL 84.456542 137.126167 \nL 84.76121 136.23389 \nL 85.065878 128.993649 \nL 85.675215 101.396944 \nL 85.979883 94.694173 \nL 86.284552 100.392542 \nL 86.893888 136.552908 \nL 87.198557 145.033849 \nL 87.503225 136.252549 \nL 88.112561 93.109801 \nL 88.41723 89.415412 \nL 88.721898 104.651774 \nL 89.331235 140.900805 \nL 89.635903 139.320882 \nL 90.549908 104.316894 \nL 90.854576 104.95558 \nL 91.768581 124.593257 \nL 92.073249 124.350478 \nL 92.987254 110.041231 \nL 93.291923 113.106999 \nL 93.901259 122.688553 \nL 94.205928 120.215718 \nL 94.815264 105.507272 \nL 95.119932 105.573702 \nL 95.424601 114.781474 \nL 95.729269 129.416071 \nL 96.033937 138.372839 \nL 96.338606 134.245593 \nL 97.252611 88.209784 \nL 97.557279 97.747567 \nL 98.166615 143.604301 \nL 98.471284 150.77119 \nL 98.775952 137.531158 \nL 99.385289 90.123321 \nL 99.689957 86.004905 \nL 99.994625 102.781159 \nL 100.603962 147.791301 \nL 100.90863 148.453637 \nL 101.213299 131.366729 \nL 101.822635 90.521489 \nL 102.127303 86.770753 \nL 102.431972 97.487936 \nL 103.345977 149.168185 \nL 103.650645 147.98272 \nL 103.955313 132.636401 \nL 104.56465 90.28109 \nL 104.869318 81.962616 \nL 105.173986 90.76241 \nL 106.087991 154.114447 \nL 106.39266 146.404083 \nL 107.306665 71.637732 \nL 107.611333 76.995748 \nL 108.525338 160.767051 \nL 108.830006 159.052993 \nL 109.134674 133.895239 \nL 109.744011 75.584051 \nL 110.048679 76.162033 \nL 110.962684 151.526512 \nL 111.267353 147.671232 \nL 111.876689 104.245412 \nL 112.181357 95.810931 \nL 112.486026 103.383817 \nL 112.790694 118.113855 \nL 113.095362 127.147681 \nL 113.400031 125.840894 \nL 114.009367 112.895955 \nL 114.314036 115.726688 \nL 114.618704 123.838608 \nL 114.923372 127.77012 \nL 115.228041 119.473022 \nL 115.837377 87.498106 \nL 116.142045 85.494832 \nL 116.446714 102.614909 \nL 117.05605 159.907697 \nL 117.360719 168.074067 \nL 117.665387 149.182397 \nL 118.274724 71.762174 \nL 118.579392 58.723722 \nL 118.88406 80.265119 \nL 119.493397 167.222612 \nL 119.798065 181.77925 \nL 120.102733 160.229987 \nL 120.71207 69.676482 \nL 121.016738 53.728525 \nL 121.321407 76.25127 \nL 121.930743 162.859292 \nL 122.235412 172.76493 \nL 122.54008 149.542967 \nL 123.149416 77.18755 \nL 123.454085 69.376047 \nL 123.758753 89.108194 \nL 124.36809 145.518897 \nL 124.672758 150.354504 \nL 124.977426 136.882336 \nL 125.586763 98.350602 \nL 125.891431 94.422293 \nL 126.805436 117.021111 \nL 127.110104 119.890075 \nL 127.719441 122.056287 \nL 128.328778 128.076925 \nL 128.633446 125.23011 \nL 129.547451 100.501759 \nL 129.852119 103.629395 \nL 130.766124 138.459531 \nL 131.070792 131.306528 \nL 131.680129 95.260241 \nL 131.984797 90.246626 \nL 132.289466 100.542143 \nL 132.898802 142.188434 \nL 133.203471 148.620009 \nL 133.508139 136.641659 \nL 134.117475 87.682255 \nL 134.422144 74.097273 \nL 134.726812 79.561941 \nL 135.03148 104.230496 \nL 135.640817 165.982673 \nL 135.945485 170.098089 \nL 136.250154 146.537829 \nL 136.85949 71.606747 \nL 137.164158 59.520524 \nL 137.468827 77.409782 \nL 138.078163 156.381391 \nL 138.382832 175.970091 \nL 138.6875 165.505942 \nL 139.601505 75.824431 \nL 139.906173 79.052568 \nL 140.51551 121.113574 \nL 140.820178 127.715329 \nL 141.429515 107.208727 \nL 141.734183 105.611184 \nL 142.038851 118.457257 \nL 142.34352 136.304194 \nL 142.648188 144.8231 \nL 142.952856 134.163248 \nL 143.562193 83.235257 \nL 143.866861 75.600829 \nL 144.171529 90.746062 \nL 144.780866 149.971689 \nL 145.085534 159.115398 \nL 145.390203 143.26111 \nL 145.999539 82.802979 \nL 146.304208 73.585715 \nL 146.608876 90.661914 \nL 147.218213 151.272864 \nL 147.522881 156.719587 \nL 147.827549 139.622592 \nL 148.436886 92.343827 \nL 148.741554 89.02558 \nL 149.046222 102.023759 \nL 149.655559 136.331084 \nL 149.960227 138.772746 \nL 150.874232 116.266817 \nL 151.1789 112.450242 \nL 151.788237 93.642601 \nL 152.092905 91.402408 \nL 152.397574 103.784985 \nL 153.00691 148.802226 \nL 153.311579 153.74297 \nL 153.616247 137.701898 \nL 154.225584 83.63155 \nL 154.530252 78.72711 \nL 154.83492 98.726504 \nL 155.444257 159.221701 \nL 155.748925 160.625544 \nL 156.053593 135.433577 \nL 156.66293 72.738386 \nL 156.967598 72.605965 \nL 157.272267 97.447862 \nL 157.881603 155.855192 \nL 158.186271 157.718444 \nL 158.49094 137.37661 \nL 159.100276 86.758994 \nL 159.404945 83.850351 \nL 159.709613 96.800635 \nL 160.31895 131.437477 \nL 160.623618 139.108495 \nL 160.928286 139.538313 \nL 161.232955 135.439715 \nL 161.842291 114.509098 \nL 162.146959 102.114504 \nL 162.451628 94.985946 \nL 162.756296 97.489741 \nL 163.670301 135.369278 \nL 163.974969 135.030206 \nL 164.888974 110.771047 \nL 165.193643 111.764083 \nL 165.802979 121.769564 \nL 166.107647 121.638827 \nL 166.716984 109.240275 \nL 167.021652 107.199589 \nL 167.326321 112.480422 \nL 167.935657 131.201695 \nL 168.240326 132.372023 \nL 168.544994 124.267729 \nL 168.849662 110.970276 \nL 169.15433 102.604489 \nL 169.458999 104.627508 \nL 170.373004 135.409794 \nL 170.677672 132.650389 \nL 171.591677 103.19675 \nL 171.896345 106.425668 \nL 172.505682 126.286107 \nL 172.81035 131.509656 \nL 173.115018 130.258863 \nL 173.724355 116.509002 \nL 174.333692 103.81798 \nL 174.63836 103.035881 \nL 174.943028 106.929946 \nL 175.552365 121.658675 \nL 175.857033 128.834458 \nL 176.161701 132.679798 \nL 176.46637 132.288025 \nL 176.771038 125.244211 \nL 177.380375 100.614547 \nL 177.685043 93.645309 \nL 177.989711 95.281596 \nL 178.29438 106.400927 \nL 178.903716 141.350981 \nL 179.208385 149.451236 \nL 179.513053 141.350939 \nL 180.427058 86.358342 \nL 180.731726 88.325092 \nL 181.645731 144.389836 \nL 181.950399 147.654088 \nL 182.255068 137.994223 \nL 182.864404 106.468901 \nL 183.169072 96.432375 \nL 183.473741 94.540177 \nL 183.778409 102.547854 \nL 184.692414 150.41198 \nL 184.997082 149.06583 \nL 185.301751 130.472912 \nL 185.911087 76.124008 \nL 186.215756 70.036325 \nL 186.520424 89.525975 \nL 187.12976 164.844557 \nL 187.434429 179.160924 \nL 187.739097 159.55832 \nL 188.348434 65.742402 \nL 188.653102 44.155899 \nL 188.95777 63.752988 \nL 189.567107 166.41845 \nL 189.871775 188.735006 \nL 190.176443 168.997171 \nL 190.78578 71.197007 \nL 191.090448 52.895841 \nL 191.395117 75.103224 \nL 192.004453 158.445871 \nL 192.309122 163.724174 \nL 192.61379 137.611541 \nL 192.918458 101.529468 \nL 193.223127 82.310049 \nL 193.527795 90.57265 \nL 194.137131 143.768976 \nL 194.4418 150.006954 \nL 194.746468 134.311975 \nL 195.051136 110.261969 \nL 195.355805 95.555489 \nL 195.660473 98.384168 \nL 196.26981 127.593797 \nL 196.574478 130.012212 \nL 196.879146 119.819269 \nL 197.183814 105.438553 \nL 197.488483 100.658958 \nL 197.793151 110.474574 \nL 198.097819 127.186681 \nL 198.402488 136.349879 \nL 198.707156 129.19465 \nL 199.316493 96.463278 \nL 199.621161 96.238307 \nL 199.925829 111.836474 \nL 200.230498 134.974982 \nL 200.535166 149.515847 \nL 200.839834 142.960707 \nL 201.753839 64.772274 \nL 202.058507 78.260284 \nL 202.667844 156.878097 \nL 202.972512 167.014774 \nL 203.277181 139.8594 \nL 203.886517 67.213127 \nL 204.191186 74.18756 \nL 204.800522 150.153799 \nL 205.10519 163.182908 \nL 205.409859 142.165389 \nL 206.019195 77.600813 \nL 206.323864 81.440175 \nL 207.237869 159.93247 \nL 207.542537 143.399112 \nL 208.151873 77.865754 \nL 208.456542 78.32109 \nL 209.370547 166.558678 \nL 209.675215 156.747207 \nL 210.284552 86.158675 \nL 210.58922 68.122959 \nL 210.893888 78.987413 \nL 211.503225 141.559758 \nL 211.807893 153.329116 \nL 212.112561 141.911581 \nL 212.41723 120.551689 \nL 212.721898 108.425695 \nL 213.026566 111.744348 \nL 213.331235 121.660907 \nL 213.635903 124.512023 \nL 213.940571 114.09206 \nL 214.24524 98.240943 \nL 214.549908 91.732836 \nL 214.854576 103.391298 \nL 215.463913 148.83667 \nL 215.768581 150.55603 \nL 216.073249 128.738387 \nL 216.682586 74.129376 \nL 216.987254 82.465186 \nL 217.596591 158.477379 \nL 217.901259 176.160428 \nL 218.205928 157.038474 \nL 218.815264 68.161813 \nL 219.119932 55.723919 \nL 219.424601 80.415729 \nL 220.033937 160.479585 \nL 220.338606 168.246259 \nL 220.643274 147.01741 \nL 220.947942 116.3439 \nL 221.252611 97.302552 \nL 221.557279 97.896708 \nL 221.861947 107.692795 \nL 222.166615 112.224305 \nL 222.775952 96.712303 \nL 223.08062 100.294636 \nL 223.994625 170.028253 \nL 224.299294 154.999563 \nL 224.90863 63.692547 \nL 225.213299 45.539631 \nL 225.517967 71.179441 \nL 226.127303 181.277473 \nL 226.431972 197.854784 \nL 226.73664 166.611705 \nL 227.345977 54.692667 \nL 227.650645 43.446972 \nL 227.955313 78.96104 \nL 228.56465 177.791577 \nL 228.869318 176.225891 \nL 229.783323 64.984138 \nL 230.087991 81.399094 \nL 230.697328 153.258579 \nL 231.001996 155.220237 \nL 231.611333 95.095108 \nL 231.916001 84.253434 \nL 232.22067 104.640937 \nL 232.525338 140.417153 \nL 232.830006 160.051444 \nL 233.134674 144.061781 \nL 233.744011 61.468404 \nL 234.048679 57.385719 \nL 234.353348 97.817122 \nL 234.962684 201.006062 \nL 235.267353 190.11977 \nL 236.181357 23.17407 \nL 236.486026 49.805797 \nL 237.095362 191.282843 \nL 237.400031 214.756364 \nL 237.704699 178.176342 \nL 238.314036 38.251992 \nL 238.618704 17.083636 \nL 238.923372 52.36416 \nL 239.532709 183.583991 \nL 239.837377 201.738961 \nL 240.142045 171.200799 \nL 240.751382 77.95028 \nL 241.05605 68.287176 \nL 241.360719 84.851723 \nL 241.970055 129.772273 \nL 242.274724 135.498385 \nL 242.88406 127.851452 \nL 243.188729 127.33569 \nL 243.493397 127.161607 \nL 243.798065 120.959848 \nL 244.407402 96.707532 \nL 244.71207 96.283845 \nL 245.016738 111.045063 \nL 245.626075 152.671129 \nL 245.930743 149.851767 \nL 246.844748 68.636236 \nL 247.149416 79.157377 \nL 248.063421 184.119498 \nL 248.36809 164.401658 \nL 248.977426 60.152998 \nL 249.282095 38.038372 \nL 249.586763 61.461763 \nL 250.1961 174.325328 \nL 250.500768 199.418319 \nL 250.805436 179.652698 \nL 251.414773 72.089379 \nL 251.719441 44.668139 \nL 252.024109 57.078432 \nL 252.633446 143.345759 \nL 252.938114 165.041659 \nL 253.242783 156.867292 \nL 253.852119 111.652832 \nL 254.156787 104.180496 \nL 254.766124 106.921813 \nL 255.375461 99.886388 \nL 255.680129 107.944852 \nL 256.289466 151.754702 \nL 256.594134 157.335755 \nL 256.898802 135.896144 \nL 257.508139 70.141032 \nL 257.812807 70.616592 \nL 258.726812 171.534086 \nL 259.03148 164.091693 \nL 259.945485 67.09535 \nL 260.250154 78.405664 \nL 260.85949 144.56114 \nL 261.164158 156.901569 \nL 261.468827 142.009489 \nL 262.078163 87.132147 \nL 262.382832 85.110274 \nL 263.296837 149.22305 \nL 263.601505 138.421817 \nL 264.210842 81.10363 \nL 264.51551 78.039849 \nL 264.820178 104.266636 \nL 265.429515 169.259861 \nL 265.734183 163.504619 \nL 266.648188 63.846097 \nL 266.952856 76.688018 \nL 267.562193 164.550258 \nL 267.866861 183.533262 \nL 268.171529 163.452102 \nL 268.780866 77.387359 \nL 269.085534 65.804233 \nL 269.390203 86.80742 \nL 269.999539 149.389206 \nL 270.304208 151.814429 \nL 271.218213 88.862261 \nL 271.522881 88.273609 \nL 272.132217 116.975933 \nL 272.436886 130.141484 \nL 272.741554 137.146603 \nL 273.046222 137.664874 \nL 273.350891 131.283438 \nL 274.264896 99.790347 \nL 274.569564 99.566649 \nL 274.874232 106.888178 \nL 275.483569 125.939727 \nL 275.788237 130.450183 \nL 276.092905 130.837037 \nL 276.397574 127.465474 \nL 277.00691 112.09431 \nL 277.311579 103.296819 \nL 277.616247 97.72868 \nL 277.920915 100.912815 \nL 278.225584 114.033309 \nL 278.83492 147.341694 \nL 279.139588 149.20328 \nL 279.444257 134.943639 \nL 280.053593 91.644948 \nL 280.358262 83.846587 \nL 280.66293 90.187509 \nL 281.576935 141.300268 \nL 281.881603 146.182937 \nL 282.186271 139.748716 \nL 283.100276 89.154005 \nL 283.404945 84.726736 \nL 283.709613 96.957248 \nL 284.31895 148.088031 \nL 284.623618 159.913981 \nL 284.928286 149.767969 \nL 285.842291 72.15546 \nL 286.146959 78.628313 \nL 287.060964 160.271391 \nL 287.365633 157.596237 \nL 288.279638 86.744372 \nL 288.584306 87.416174 \nL 289.498311 138.701504 \nL 289.802979 136.874427 \nL 290.412316 110.735489 \nL 290.716984 105.954534 \nL 291.021652 111.222176 \nL 291.630989 130.264776 \nL 291.935657 129.679301 \nL 292.240326 120.29139 \nL 292.849662 98.814209 \nL 293.15433 100.339542 \nL 294.068335 135.382776 \nL 294.373004 130.407969 \nL 294.98234 99.412562 \nL 295.287009 97.219151 \nL 295.591677 112.474216 \nL 295.896345 134.841237 \nL 296.201014 148.061115 \nL 296.505682 140.85133 \nL 297.115018 90.733206 \nL 297.419687 79.943218 \nL 297.724355 93.026202 \nL 298.333692 152.281568 \nL 298.63836 160.126082 \nL 298.943028 140.999989 \nL 299.552365 77.470444 \nL 299.857033 72.656831 \nL 300.161701 96.001019 \nL 300.771038 157.771801 \nL 301.075706 155.234317 \nL 301.989711 75.21124 \nL 302.29438 85.890765 \nL 302.903716 144.701691 \nL 303.208385 154.344101 \nL 303.513053 140.533582 \nL 304.122389 91.875981 \nL 304.427058 86.995864 \nL 304.731726 101.349503 \nL 305.341063 141.512695 \nL 305.645731 143.894953 \nL 305.950399 132.37082 \nL 306.559736 103.595766 \nL 306.864404 99.100362 \nL 307.169072 103.281029 \nL 308.083077 129.447164 \nL 308.387746 130.34159 \nL 308.692414 125.217668 \nL 309.301751 108.397185 \nL 309.606419 104.554074 \nL 309.911087 103.260404 \nL 310.215756 104.997611 \nL 310.520424 110.889641 \nL 311.12976 130.855425 \nL 311.434429 136.17251 \nL 311.739097 134.522965 \nL 312.043765 126.869719 \nL 312.653102 104.837044 \nL 312.95777 100.024391 \nL 313.262439 102.206713 \nL 314.481112 131.100799 \nL 314.78578 129.475982 \nL 315.090448 124.010237 \nL 315.699785 109.209208 \nL 316.004453 106.114392 \nL 316.309122 105.952299 \nL 316.61379 107.618889 \nL 316.918458 113.074889 \nL 317.527795 135.592285 \nL 317.832463 141.788401 \nL 318.137131 135.353124 \nL 319.051136 84.756348 \nL 319.355805 91.102249 \nL 319.965141 133.836899 \nL 320.26981 140.273075 \nL 320.574478 127.858163 \nL 320.879146 109.643748 \nL 321.183814 101.670861 \nL 321.488483 108.858137 \nL 321.793151 123.992323 \nL 322.097819 131.35239 \nL 322.402488 122.411231 \nL 322.707156 103.513663 \nL 323.011824 91.817369 \nL 323.316493 100.227009 \nL 323.925829 149.002778 \nL 324.230498 154.34206 \nL 324.535166 133.439883 \nL 325.144502 68.397799 \nL 325.449171 68.882228 \nL 325.753839 100.841089 \nL 326.363176 174.257984 \nL 326.667844 169.937357 \nL 327.581849 63.979222 \nL 327.886517 74.624797 \nL 328.495854 153.217184 \nL 328.800522 172.550772 \nL 329.10519 160.469082 \nL 329.714527 83.738313 \nL 330.019195 66.424363 \nL 330.323864 79.474064 \nL 330.9332 144.84901 \nL 331.237869 155.962463 \nL 331.542537 142.604948 \nL 332.151873 99.570269 \nL 332.456542 98.980794 \nL 333.065878 128.903526 \nL 333.370547 135.003963 \nL 333.675215 128.834556 \nL 334.284552 109.858003 \nL 334.58922 108.352412 \nL 334.893888 109.839197 \nL 335.198557 112.100562 \nL 335.503225 116.661407 \nL 336.112561 131.355401 \nL 336.41723 134.381218 \nL 336.721898 128.110531 \nL 337.635903 83.453364 \nL 337.940571 92.447422 \nL 338.549908 145.69891 \nL 338.854576 159.33594 \nL 339.159244 149.66903 \nL 340.073249 71.938512 \nL 340.377918 80.854704 \nL 341.291923 170.451775 \nL 341.596591 159.009329 \nL 342.205928 88.346698 \nL 342.510596 72.972488 \nL 342.815264 84.672948 \nL 343.424601 139.184218 \nL 343.729269 146.230783 \nL 344.033937 132.908828 \nL 344.643274 98.128629 \nL 344.947942 99.964672 \nL 345.557279 124.806958 \nL 345.861947 128.231338 \nL 346.775952 112.112702 \nL 347.385289 116.763032 \nL 347.689957 115.638048 \nL 347.994625 112.081983 \nL 348.299294 113.115989 \nL 348.603962 122.654775 \nL 348.90863 136.308611 \nL 349.213299 144.44587 \nL 349.517967 138.986275 \nL 350.431972 72.273997 \nL 350.73664 76.604442 \nL 351.650645 170.410774 \nL 351.955313 166.592324 \nL 352.869318 56.206688 \nL 352.869318 56.206688 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 33.2875 224.64 \nL 33.2875 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 368.0875 224.64 \nL 368.0875 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 33.2875 224.64 \nL 368.0875 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 33.2875 7.2 \nL 368.0875 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pfa9a05de3f\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"33.2875\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "np.random.seed(100) # For consistency\n",
    "coeff = np.array([2.7607, -3.8106, 2.6535, -0.9238])\n",
    "ar4 = np.r_[1, -coeff] # For use with scipy.signal\n",
    "N = 1000\n",
    "\n",
    "\n",
    "freq, h = signal.freqz(b=1.0, a=ar4, worN=N, fs=1) #True PSD of AR(4)\n",
    "psd = (h * h.conj()).real\n",
    "\n",
    "psd = 10 * np.log10(psd)\n",
    "\n",
    "data = signal.lfilter([1.0], ar4, np.random.randn(N)) # 1000 AR(4) data samples\n",
    "data += abs(data.min()) # stingray.Powerspectrum does not accept negative values\n",
    "times = np.arange(N)\n",
    "\n",
    "lc2 = Lightcurve(time=times, counts=data)\n",
    "lc2.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"263.63625pt\" version=\"1.1\" viewBox=\"0 0 377.304688 263.63625\" width=\"377.304688pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-03-14T16:32:43.310737</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.3.4, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 263.63625 \nL 377.304688 263.63625 \nL 377.304688 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 35.304688 239.758125 \nL 370.104688 239.758125 \nL 370.104688 22.318125 \nL 35.304688 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m92ee3df56a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.522869\" xlink:href=\"#m92ee3df56a\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0.0 -->\n      <g transform=\"translate(42.571307 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n        <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"111.45653\" xlink:href=\"#m92ee3df56a\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 0.1 -->\n      <g transform=\"translate(103.504968 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"172.390191\" xlink:href=\"#m92ee3df56a\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 0.2 -->\n      <g transform=\"translate(164.438629 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"233.323852\" xlink:href=\"#m92ee3df56a\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 0.3 -->\n      <g transform=\"translate(225.37229 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"294.257513\" xlink:href=\"#m92ee3df56a\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 0.4 -->\n      <g transform=\"translate(286.305951 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"355.191174\" xlink:href=\"#m92ee3df56a\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 0.5 -->\n      <g transform=\"translate(347.239611 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m293f79e4c5\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m293f79e4c5\" y=\"193.82199\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- −20 -->\n      <g transform=\"translate(7.2 197.621209)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m293f79e4c5\" y=\"147.127573\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 0 -->\n      <g transform=\"translate(21.942188 150.926792)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m293f79e4c5\" y=\"100.433156\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 20 -->\n      <g transform=\"translate(15.579688 104.232375)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m293f79e4c5\" y=\"53.738739\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 40 -->\n      <g transform=\"translate(15.579688 57.537958)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_11\">\n    <path clip-path=\"url(#p6c21cd5488)\" d=\"M 51.132206 116.019036 \nL 51.741543 115.759308 \nL 52.350879 106.84204 \nL 52.960216 110.487581 \nL 53.569552 124.803485 \nL 54.178889 106.492846 \nL 56.006899 136.581214 \nL 56.616235 115.093975 \nL 57.225572 140.086431 \nL 57.834909 115.221383 \nL 58.444245 125.71972 \nL 59.053582 149.655115 \nL 59.662918 109.933245 \nL 60.272255 105.052463 \nL 60.881592 109.958973 \nL 61.490928 112.652906 \nL 62.100265 119.397566 \nL 62.709602 112.892526 \nL 63.318938 127.68593 \nL 63.928275 139.33596 \nL 64.537611 127.525198 \nL 65.146948 148.91642 \nL 65.756285 104.72325 \nL 66.365621 100.464713 \nL 66.974958 139.127567 \nL 67.584294 138.816797 \nL 68.193631 105.734153 \nL 68.802968 127.573412 \nL 69.412304 101.090335 \nL 70.021641 163.546892 \nL 70.630977 106.282229 \nL 71.240314 114.685767 \nL 71.849651 104.710977 \nL 72.458987 105.524235 \nL 73.068324 104.994303 \nL 74.286997 128.241135 \nL 74.896334 109.224084 \nL 75.50567 103.053349 \nL 76.115007 124.592733 \nL 76.724344 118.535096 \nL 77.33368 136.630818 \nL 77.943017 115.001863 \nL 78.552353 172.503592 \nL 79.16169 111.383787 \nL 79.771027 111.470443 \nL 80.380363 102.128006 \nL 80.9897 107.326506 \nL 81.599036 111.328741 \nL 82.208373 108.785042 \nL 82.81771 113.635798 \nL 83.427046 98.773559 \nL 84.036383 109.716415 \nL 84.645719 99.966737 \nL 85.255056 103.176023 \nL 85.864393 108.138489 \nL 86.473729 137.838165 \nL 87.083066 96.578353 \nL 87.692402 100.805096 \nL 88.301739 130.039014 \nL 88.911076 102.766766 \nL 89.520412 101.706927 \nL 90.129749 96.655386 \nL 90.739086 96.759818 \nL 91.348422 101.504414 \nL 92.567095 115.896781 \nL 93.176432 91.293893 \nL 93.785769 106.015225 \nL 94.395105 112.353698 \nL 95.613778 93.175298 \nL 96.223115 103.121088 \nL 96.832452 90.26872 \nL 97.441788 95.936962 \nL 98.051125 91.469731 \nL 98.660461 92.591897 \nL 99.269798 91.873854 \nL 99.879135 78.82987 \nL 100.488471 73.581512 \nL 101.097808 82.272474 \nL 101.707145 87.848781 \nL 102.316481 80.077519 \nL 102.925818 92.435154 \nL 103.535154 76.446172 \nL 104.144491 83.124447 \nL 104.753828 91.469485 \nL 105.363164 64.263991 \nL 105.972501 110.643621 \nL 106.581837 111.967693 \nL 107.191174 68.032868 \nL 107.800511 99.530402 \nL 108.409847 97.133512 \nL 109.019184 57.234342 \nL 109.62852 70.453313 \nL 110.237857 71.229657 \nL 110.847194 73.523095 \nL 111.45653 74.018478 \nL 112.065867 59.939462 \nL 112.675203 73.43538 \nL 113.28454 52.983279 \nL 113.893877 57.293553 \nL 114.503213 86.906111 \nL 115.11255 65.324036 \nL 115.721887 57.06421 \nL 116.331223 63.594074 \nL 116.94056 38.388274 \nL 117.549896 47.695068 \nL 118.159233 38.167923 \nL 118.76857 46.470961 \nL 119.377906 62.274588 \nL 119.987243 48.34723 \nL 120.596579 55.254138 \nL 121.205916 45.376366 \nL 121.815253 50.316584 \nL 122.424589 47.62038 \nL 123.033926 63.885142 \nL 123.643262 53.670707 \nL 124.252599 47.776732 \nL 124.861936 60.113068 \nL 125.471272 46.627499 \nL 126.080609 56.285343 \nL 126.689945 53.790336 \nL 127.299282 70.868261 \nL 127.908619 68.51343 \nL 128.517955 50.835227 \nL 129.127292 48.966914 \nL 129.736629 53.295349 \nL 130.345965 40.610586 \nL 130.955302 66.701866 \nL 131.564638 55.663395 \nL 132.173975 49.319631 \nL 132.783312 49.633199 \nL 133.392648 80.047317 \nL 134.001985 66.260647 \nL 134.611321 49.038233 \nL 135.220658 62.754325 \nL 135.829995 32.201761 \nL 136.439331 38.673516 \nL 137.048668 40.096746 \nL 137.658004 43.091594 \nL 138.267341 65.199155 \nL 138.876678 80.294772 \nL 139.486014 55.031123 \nL 140.095351 83.714751 \nL 140.704688 66.033394 \nL 141.314024 65.871169 \nL 141.923361 115.562894 \nL 142.532697 77.361489 \nL 143.142034 94.366366 \nL 143.751371 114.838378 \nL 144.360707 75.380101 \nL 144.970044 89.804578 \nL 145.57938 101.458301 \nL 146.188717 87.808008 \nL 146.798054 86.761659 \nL 147.40739 98.358272 \nL 148.016727 86.252706 \nL 148.626063 99.315175 \nL 149.2354 125.797893 \nL 149.844737 96.203262 \nL 150.454073 83.712581 \nL 151.06341 91.211488 \nL 151.672746 89.063221 \nL 152.282083 96.386455 \nL 152.89142 121.813809 \nL 153.500756 94.194537 \nL 154.110093 124.633521 \nL 154.71943 106.442339 \nL 155.328766 115.298292 \nL 155.938103 122.267191 \nL 156.547439 115.001443 \nL 157.766113 96.610423 \nL 158.984786 126.581498 \nL 159.594122 113.74627 \nL 160.203459 109.129585 \nL 160.812796 102.737869 \nL 161.422132 98.509225 \nL 162.031469 107.848532 \nL 162.640805 146.70057 \nL 163.250142 114.769869 \nL 163.859479 116.127392 \nL 164.468815 129.545256 \nL 165.078152 119.446387 \nL 165.687488 117.275694 \nL 166.296825 108.889619 \nL 166.906162 112.924596 \nL 167.515498 121.206555 \nL 168.124835 119.81469 \nL 169.343508 118.413837 \nL 169.952845 103.454465 \nL 170.562181 119.338775 \nL 171.171518 117.082093 \nL 171.780855 119.054066 \nL 172.390191 111.371394 \nL 172.999528 125.165689 \nL 173.608864 115.571893 \nL 174.218201 119.329424 \nL 174.827538 111.306218 \nL 175.436874 114.657555 \nL 176.046211 119.600509 \nL 176.655547 112.68269 \nL 177.264884 119.840281 \nL 177.874221 119.563781 \nL 178.483557 122.050639 \nL 179.092894 117.416639 \nL 179.70223 124.32124 \nL 180.311567 126.020161 \nL 180.920904 124.189889 \nL 181.53024 127.587512 \nL 182.139577 126.915866 \nL 182.748914 112.609785 \nL 183.35825 138.836826 \nL 183.967587 143.568682 \nL 184.576923 123.905596 \nL 185.18626 144.686766 \nL 185.795597 120.762303 \nL 186.404933 127.401109 \nL 187.623606 117.065849 \nL 188.84228 129.836494 \nL 189.451616 119.078201 \nL 190.060953 121.976 \nL 190.670289 123.921102 \nL 191.279626 124.94166 \nL 191.888963 126.794255 \nL 192.498299 126.746858 \nL 193.107636 121.89434 \nL 193.716973 142.194772 \nL 194.326309 133.385202 \nL 194.935646 144.509112 \nL 195.544982 121.834055 \nL 196.763656 128.852861 \nL 197.372992 124.035996 \nL 197.982329 122.728418 \nL 198.591665 125.918391 \nL 199.201002 127.536148 \nL 199.810339 122.849562 \nL 200.419675 128.022674 \nL 201.029012 123.414963 \nL 201.638348 133.786455 \nL 202.247685 125.272623 \nL 202.857022 127.10521 \nL 203.466358 127.89256 \nL 204.075695 125.00871 \nL 204.685031 130.239842 \nL 205.294368 133.741204 \nL 205.903705 120.443299 \nL 206.513041 132.46493 \nL 207.122378 129.72172 \nL 207.731715 132.358763 \nL 208.341051 123.68073 \nL 208.950388 130.012818 \nL 209.559724 130.45695 \nL 210.169061 133.464249 \nL 210.778398 128.071492 \nL 211.387734 128.138162 \nL 211.997071 129.406897 \nL 212.606407 125.373992 \nL 213.215744 127.888289 \nL 214.434417 137.42333 \nL 215.043754 137.257947 \nL 215.65309 129.632912 \nL 216.262427 132.314311 \nL 217.4811 130.019885 \nL 218.090437 127.095657 \nL 218.699773 130.719908 \nL 219.30911 130.643065 \nL 219.918447 128.562843 \nL 220.527783 129.529126 \nL 221.13712 131.634643 \nL 221.746457 132.265889 \nL 222.355793 127.794267 \nL 222.96513 134.054011 \nL 223.574466 132.454624 \nL 224.183803 132.869969 \nL 224.79314 132.825609 \nL 225.402476 130.326638 \nL 226.011813 128.304858 \nL 226.621149 130.284363 \nL 227.230486 134.81432 \nL 227.839823 133.078146 \nL 228.449159 135.663161 \nL 229.058496 135.690459 \nL 229.667832 130.574386 \nL 230.277169 133.305887 \nL 230.886506 134.16341 \nL 231.495842 132.864369 \nL 232.105179 129.704466 \nL 232.714516 135.254774 \nL 233.323852 131.24469 \nL 233.933189 133.264362 \nL 234.542525 133.454464 \nL 235.151862 130.278941 \nL 235.761199 132.364814 \nL 236.370535 135.332828 \nL 236.979872 132.517519 \nL 238.198545 135.303668 \nL 238.807882 132.756027 \nL 239.417218 134.209339 \nL 240.026555 133.588169 \nL 240.635891 133.209068 \nL 241.245228 131.368075 \nL 241.854565 132.219332 \nL 242.463901 135.393675 \nL 243.073238 135.158808 \nL 243.682574 134.123946 \nL 244.291911 133.989467 \nL 244.901248 134.052177 \nL 245.510584 137.156307 \nL 246.119921 131.155232 \nL 246.729258 131.927293 \nL 247.338594 139.405985 \nL 247.947931 140.40653 \nL 248.557267 138.383899 \nL 249.166604 132.479485 \nL 249.775941 136.353166 \nL 250.385277 131.328848 \nL 250.994614 137.446733 \nL 251.60395 135.316108 \nL 252.213287 137.310016 \nL 252.822624 134.752753 \nL 253.43196 134.379298 \nL 254.041297 138.900273 \nL 254.650633 135.940817 \nL 255.25997 136.411577 \nL 255.869307 138.883009 \nL 256.478643 133.442807 \nL 257.08798 138.242685 \nL 257.697316 134.777445 \nL 258.306653 133.867575 \nL 258.91599 135.575352 \nL 259.525326 132.851606 \nL 260.134663 135.903378 \nL 260.744 133.383929 \nL 261.353336 141.342624 \nL 261.962673 137.260529 \nL 262.572009 134.948041 \nL 263.181346 136.603322 \nL 263.790683 135.388181 \nL 264.400019 135.45435 \nL 265.009356 137.400102 \nL 265.618692 137.648495 \nL 266.228029 134.928699 \nL 266.837366 135.117751 \nL 267.446702 133.366409 \nL 268.056039 137.811805 \nL 269.274712 138.606148 \nL 269.884049 138.531313 \nL 270.493385 135.256304 \nL 271.102722 135.445658 \nL 271.712059 138.234372 \nL 272.321395 136.711244 \nL 272.930732 137.647372 \nL 273.540068 137.819748 \nL 274.149405 135.969812 \nL 274.758742 135.673729 \nL 275.368078 133.89625 \nL 275.977415 139.509708 \nL 276.586751 135.445716 \nL 277.196088 133.207536 \nL 277.805425 137.97356 \nL 278.414761 134.580604 \nL 279.024098 138.422084 \nL 279.633434 137.401878 \nL 280.242771 137.839597 \nL 280.852108 135.764906 \nL 281.461444 136.658679 \nL 282.070781 135.000146 \nL 282.680117 137.17801 \nL 283.289454 136.732151 \nL 283.898791 139.034197 \nL 284.508127 137.324707 \nL 285.117464 138.425493 \nL 285.726801 137.976434 \nL 286.336137 138.675045 \nL 286.945474 139.747273 \nL 287.55481 138.483298 \nL 288.164147 135.496047 \nL 288.773484 134.215612 \nL 289.38282 136.11918 \nL 289.992157 140.804586 \nL 290.601493 138.425486 \nL 291.21083 138.560198 \nL 291.820167 138.988375 \nL 292.429503 136.688226 \nL 293.03884 134.847636 \nL 293.648176 134.564165 \nL 294.257513 137.378983 \nL 294.86685 137.024377 \nL 295.476186 139.903915 \nL 296.085523 138.194287 \nL 296.694859 135.721238 \nL 297.304196 139.221619 \nL 298.522869 137.729918 \nL 299.132206 135.960905 \nL 299.741543 136.62809 \nL 300.350879 139.328198 \nL 300.960216 138.747749 \nL 301.569552 137.212046 \nL 302.178889 136.911982 \nL 302.788226 136.210004 \nL 303.397562 138.666709 \nL 304.006899 137.826736 \nL 304.616235 136.680336 \nL 305.225572 139.529078 \nL 305.834909 136.773182 \nL 306.444245 141.743613 \nL 307.053582 138.196749 \nL 307.662918 139.998739 \nL 308.272255 137.155233 \nL 308.881592 137.961223 \nL 309.490928 137.926248 \nL 310.100265 138.702234 \nL 310.709602 137.969538 \nL 311.318938 139.034183 \nL 311.928275 136.19059 \nL 312.537611 139.27622 \nL 313.146948 139.903262 \nL 313.756285 138.850339 \nL 314.365621 135.806636 \nL 315.584294 141.343743 \nL 316.193631 137.857116 \nL 316.802968 140.181799 \nL 317.412304 138.140704 \nL 318.021641 138.475316 \nL 318.630977 136.050462 \nL 319.849651 139.341085 \nL 321.068324 139.602548 \nL 322.286997 137.002337 \nL 322.896334 141.429678 \nL 323.50567 138.058766 \nL 324.115007 138.198336 \nL 324.724344 136.638039 \nL 325.33368 138.829874 \nL 325.943017 140.089558 \nL 326.552353 136.28705 \nL 327.16169 137.912887 \nL 327.771027 138.730755 \nL 328.380363 138.750974 \nL 328.9897 139.280825 \nL 329.599036 137.841486 \nL 330.208373 138.134017 \nL 330.81771 140.178598 \nL 331.427046 140.723316 \nL 332.036383 140.260779 \nL 332.645719 137.454016 \nL 333.255056 139.797659 \nL 333.864393 137.230648 \nL 334.473729 141.163639 \nL 335.083066 136.797474 \nL 335.692402 139.399501 \nL 336.301739 140.306005 \nL 336.911076 139.168816 \nL 337.520412 139.425281 \nL 338.129749 140.96289 \nL 338.739086 141.847924 \nL 339.348422 137.488359 \nL 339.957759 139.304469 \nL 340.567095 138.984848 \nL 341.176432 139.878354 \nL 341.785769 137.786344 \nL 342.395105 139.931605 \nL 343.004442 139.848773 \nL 343.613778 137.828989 \nL 344.223115 136.770266 \nL 344.832452 138.787961 \nL 345.441788 138.313063 \nL 346.051125 139.604118 \nL 346.660461 138.508545 \nL 347.269798 140.38308 \nL 347.879135 141.001582 \nL 348.488471 139.612373 \nL 349.097808 137.905815 \nL 349.707145 139.519943 \nL 350.316481 136.521084 \nL 350.925818 138.307877 \nL 351.535154 141.295871 \nL 352.144491 137.1539 \nL 352.753828 141.358185 \nL 353.363164 137.266841 \nL 353.972501 138.467004 \nL 354.581837 139.932173 \nL 354.581837 139.932173 \n\" style=\"fill:none;stroke:#7b68ee;stroke-linecap:square;stroke-width:0.9;\"/>\n   </g>\n   <g id=\"line2d_12\">\n    <path clip-path=\"url(#p6c21cd5488)\" d=\"M 51.132206 113.831228 \nL 51.741543 112.506281 \nL 52.350879 111.848599 \nL 53.569552 114.619394 \nL 54.178889 119.238155 \nL 54.788226 119.154289 \nL 55.397562 122.314644 \nL 56.006899 123.991207 \nL 56.616235 125.244983 \nL 57.225572 121.162586 \nL 57.834909 118.227047 \nL 59.053582 114.808211 \nL 59.662918 112.838218 \nL 60.272255 113.55817 \nL 60.881592 113.331743 \nL 61.490928 114.662369 \nL 62.709602 119.375586 \nL 63.318938 116.10688 \nL 63.928275 111.24608 \nL 64.537611 112.39701 \nL 65.146948 112.577797 \nL 65.756285 111.102068 \nL 66.365621 110.353905 \nL 66.974958 106.924698 \nL 67.584294 108.523852 \nL 68.193631 110.548763 \nL 68.802968 109.858095 \nL 69.412304 107.758477 \nL 70.021641 108.784144 \nL 70.630977 107.434882 \nL 71.240314 109.328143 \nL 71.849651 109.967164 \nL 72.458987 110.792851 \nL 73.068324 110.411917 \nL 73.67766 112.80964 \nL 74.286997 112.823514 \nL 75.50567 115.143037 \nL 76.115007 116.476346 \nL 76.724344 117.328096 \nL 77.33368 117.38499 \nL 77.943017 113.097177 \nL 79.16169 109.717074 \nL 79.771027 109.432784 \nL 80.380363 107.649854 \nL 80.9897 106.481453 \nL 81.599036 106.440391 \nL 82.208373 105.156792 \nL 82.81771 104.373955 \nL 83.427046 103.858294 \nL 84.036383 104.761795 \nL 84.645719 104.150741 \nL 85.255056 103.788784 \nL 85.864393 104.044653 \nL 86.473729 104.723346 \nL 87.083066 104.083509 \nL 87.692402 102.488078 \nL 88.301739 100.167664 \nL 88.911076 100.429835 \nL 89.520412 101.344744 \nL 90.129749 101.150742 \nL 90.739086 99.620065 \nL 91.348422 99.672209 \nL 91.957759 101.264034 \nL 92.567095 100.773411 \nL 93.176432 100.971874 \nL 93.785769 101.02518 \nL 94.395105 99.160609 \nL 95.004442 98.231788 \nL 95.613778 98.470107 \nL 96.223115 97.640626 \nL 96.832452 99.40862 \nL 97.441788 89.749207 \nL 98.051125 84.719917 \nL 98.660461 84.266818 \nL 99.269798 82.349258 \nL 99.879135 82.079169 \nL 100.488471 80.959392 \nL 101.707145 80.381144 \nL 102.316481 84.625206 \nL 102.925818 79.350722 \nL 103.535154 79.384777 \nL 104.144491 79.876344 \nL 104.753828 77.098224 \nL 105.363164 79.18798 \nL 105.972501 78.440184 \nL 106.581837 72.822315 \nL 107.191174 73.506861 \nL 107.800511 72.922707 \nL 108.409847 71.445486 \nL 109.019184 69.002728 \nL 109.62852 67.10712 \nL 110.237857 66.863678 \nL 110.847194 62.740907 \nL 111.45653 62.0759 \nL 112.065867 62.349346 \nL 112.675203 60.975414 \nL 113.893877 60.302298 \nL 114.503213 50.942538 \nL 115.11255 50.416146 \nL 115.721887 47.470255 \nL 116.331223 46.319817 \nL 116.94056 45.854931 \nL 117.549896 45.728594 \nL 118.159233 44.713476 \nL 118.76857 44.653648 \nL 119.377906 47.7827 \nL 119.987243 47.692119 \nL 120.596579 51.40751 \nL 121.205916 50.052328 \nL 121.815253 50.46576 \nL 122.424589 50.098737 \nL 123.033926 51.085201 \nL 123.643262 52.982485 \nL 124.252599 52.93076 \nL 124.861936 53.926572 \nL 125.471272 55.860319 \nL 126.080609 58.605682 \nL 126.689945 52.798814 \nL 127.299282 55.330637 \nL 127.908619 51.183723 \nL 128.517955 52.334205 \nL 129.127292 52.050732 \nL 129.736629 50.476383 \nL 130.345965 49.690596 \nL 130.955302 50.700054 \nL 131.564638 54.095189 \nL 132.173975 55.483565 \nL 132.783312 51.840591 \nL 133.392648 46.756905 \nL 134.001985 43.780475 \nL 135.220658 42.199396 \nL 135.829995 42.327635 \nL 136.439331 42.866207 \nL 137.048668 42.637535 \nL 138.876678 55.134197 \nL 139.486014 66.779946 \nL 140.095351 70.948878 \nL 140.704688 72.131771 \nL 141.314024 83.834056 \nL 141.923361 81.025062 \nL 142.532697 85.785054 \nL 143.142034 89.667509 \nL 143.751371 88.031131 \nL 144.360707 88.119985 \nL 144.970044 86.69429 \nL 145.57938 86.532701 \nL 146.188717 90.114258 \nL 146.798054 91.422901 \nL 147.40739 93.15527 \nL 149.2354 93.354642 \nL 149.844737 95.104075 \nL 150.454073 94.391478 \nL 151.06341 93.351659 \nL 151.672746 95.006492 \nL 152.282083 97.252702 \nL 152.89142 98.322597 \nL 153.500756 102.811443 \nL 155.328766 111.776677 \nL 155.938103 108.239652 \nL 156.547439 111.464886 \nL 157.156776 111.916641 \nL 157.766113 113.152057 \nL 158.375449 112.352662 \nL 158.984786 111.141562 \nL 159.594122 112.356245 \nL 160.203459 114.039488 \nL 160.812796 116.114535 \nL 161.422132 116.696059 \nL 162.031469 115.74105 \nL 162.640805 116.869421 \nL 163.250142 125.129222 \nL 163.859479 123.727135 \nL 164.468815 126.082783 \nL 165.687488 126.983733 \nL 166.296825 129.812918 \nL 166.906162 130.39246 \nL 167.515498 127.34778 \nL 168.124835 129.48207 \nL 169.343508 128.284294 \nL 169.952845 125.516886 \nL 170.562181 124.193962 \nL 171.171518 125.679187 \nL 171.780855 127.875048 \nL 172.390191 127.281771 \nL 172.999528 125.943809 \nL 173.608864 126.233562 \nL 174.218201 130.19151 \nL 174.827538 129.343913 \nL 175.436874 132.322986 \nL 176.655547 132.585676 \nL 177.264884 133.237488 \nL 177.874221 137.40574 \nL 178.483557 145.170971 \nL 179.092894 147.824077 \nL 179.70223 147.092232 \nL 180.311567 138.693491 \nL 180.920904 134.498685 \nL 181.53024 133.695562 \nL 182.139577 133.21232 \nL 182.748914 133.650244 \nL 183.35825 132.524297 \nL 183.967587 133.831816 \nL 184.576923 140.809302 \nL 185.18626 142.41422 \nL 186.404933 140.30373 \nL 187.01427 142.927148 \nL 187.623606 143.900486 \nL 188.232943 146.429551 \nL 188.84228 146.20545 \nL 189.451616 145.735387 \nL 190.060953 146.136778 \nL 190.670289 149.261063 \nL 191.279626 146.344785 \nL 192.498299 145.656608 \nL 193.107636 142.30412 \nL 193.716973 143.594502 \nL 194.326309 143.072272 \nL 194.935646 145.609823 \nL 195.544982 146.243249 \nL 196.154319 147.127944 \nL 196.763656 152.754398 \nL 197.372992 154.245545 \nL 197.982329 157.082017 \nL 198.591665 162.396536 \nL 199.201002 157.422607 \nL 199.810339 154.682122 \nL 200.419675 153.976147 \nL 201.029012 159.269185 \nL 201.638348 160.123511 \nL 202.247685 159.547149 \nL 202.857022 169.978767 \nL 203.466358 158.935646 \nL 204.075695 153.034449 \nL 204.685031 152.103173 \nL 205.294368 151.514008 \nL 205.903705 148.677457 \nL 206.513041 148.219912 \nL 207.731715 154.394718 \nL 208.341051 153.459534 \nL 208.950388 154.863424 \nL 209.559724 163.355333 \nL 210.169061 164.281541 \nL 210.778398 161.417844 \nL 211.387734 161.094927 \nL 211.997071 166.733067 \nL 212.606407 165.759376 \nL 213.215744 160.059178 \nL 213.825081 164.147515 \nL 214.434417 165.494303 \nL 215.65309 160.297481 \nL 216.262427 160.31375 \nL 216.871764 163.81666 \nL 217.4811 164.2273 \nL 218.090437 164.213298 \nL 218.699773 167.80306 \nL 219.30911 176.26675 \nL 219.918447 170.350218 \nL 220.527783 166.000421 \nL 221.13712 165.15617 \nL 221.746457 167.198607 \nL 222.355793 168.223823 \nL 222.96513 171.126594 \nL 223.574466 177.084532 \nL 224.183803 176.92281 \nL 224.79314 173.098824 \nL 225.402476 167.442639 \nL 226.011813 167.977015 \nL 226.621149 168.150718 \nL 227.230486 167.380188 \nL 227.839823 162.142726 \nL 228.449159 162.392821 \nL 229.058496 163.431783 \nL 229.667832 163.751533 \nL 230.277169 162.699293 \nL 230.886506 164.028934 \nL 231.495842 172.961568 \nL 232.105179 175.628601 \nL 232.714516 176.40953 \nL 233.933189 179.213722 \nL 234.542525 174.188513 \nL 235.151862 173.863809 \nL 235.761199 174.13623 \nL 236.370535 177.106642 \nL 236.979872 181.973091 \nL 237.589208 182.272407 \nL 238.198545 181.710303 \nL 238.807882 180.895227 \nL 239.417218 180.702393 \nL 240.026555 180.05474 \nL 240.635891 175.106241 \nL 241.245228 174.63874 \nL 241.854565 175.276806 \nL 242.463901 174.466269 \nL 243.073238 171.877256 \nL 243.682574 173.111546 \nL 244.291911 169.468133 \nL 244.901248 166.597393 \nL 245.510584 165.596391 \nL 246.119921 165.888064 \nL 246.729258 164.829114 \nL 247.338594 167.733785 \nL 247.947931 172.813348 \nL 248.557267 171.57486 \nL 249.166604 171.486194 \nL 249.775941 173.032613 \nL 250.385277 173.986403 \nL 250.994614 171.855627 \nL 252.213287 176.629548 \nL 252.822624 172.20544 \nL 253.43196 171.980463 \nL 254.041297 171.521206 \nL 254.650633 170.899348 \nL 255.25997 170.677218 \nL 255.869307 173.049102 \nL 256.478643 174.408069 \nL 257.08798 174.082733 \nL 258.306653 179.851507 \nL 258.91599 178.517221 \nL 259.525326 173.531361 \nL 260.134663 169.880079 \nL 261.353336 171.798611 \nL 261.962673 174.919056 \nL 262.572009 186.644466 \nL 263.181346 189.940359 \nL 264.400019 187.272676 \nL 265.009356 184.652911 \nL 265.618692 181.354823 \nL 266.228029 179.563755 \nL 266.837366 181.055816 \nL 267.446702 180.497112 \nL 268.056039 184.007396 \nL 268.665375 195.542543 \nL 269.274712 192.648562 \nL 269.884049 186.478064 \nL 270.493385 187.562254 \nL 271.102722 193.796123 \nL 271.712059 195.019152 \nL 272.321395 194.146754 \nL 272.930732 192.0562 \nL 273.540068 189.256866 \nL 274.149405 177.872381 \nL 274.758742 178.185335 \nL 275.368078 174.863499 \nL 275.977415 173.825731 \nL 276.586751 173.486733 \nL 278.414761 182.371558 \nL 279.633434 186.27075 \nL 280.242771 181.991381 \nL 280.852108 180.974008 \nL 281.461444 186.887732 \nL 282.070781 190.748191 \nL 282.680117 191.564113 \nL 283.289454 187.643613 \nL 283.898791 186.936195 \nL 284.508127 187.870213 \nL 285.117464 190.735963 \nL 285.726801 190.840768 \nL 286.945474 182.910413 \nL 287.55481 180.355303 \nL 288.164147 176.524269 \nL 288.773484 178.948842 \nL 289.38282 177.22502 \nL 290.601493 181.518226 \nL 291.21083 181.961421 \nL 291.820167 182.142426 \nL 292.429503 184.099519 \nL 293.03884 193.542396 \nL 293.648176 189.150256 \nL 294.86685 183.0384 \nL 295.476186 182.062264 \nL 296.085523 181.539154 \nL 296.694859 184.406727 \nL 297.304196 184.465203 \nL 297.913533 189.293532 \nL 298.522869 185.015794 \nL 299.132206 185.515164 \nL 299.741543 188.873138 \nL 300.350879 195.36045 \nL 300.960216 195.527042 \nL 301.569552 185.529708 \nL 302.178889 185.616404 \nL 302.788226 184.474103 \nL 303.397562 181.87804 \nL 304.006899 181.072086 \nL 304.616235 181.184596 \nL 305.225572 178.430034 \nL 305.834909 177.959236 \nL 306.444245 178.327875 \nL 307.053582 180.227038 \nL 308.272255 188.330204 \nL 308.881592 194.774732 \nL 309.490928 187.526928 \nL 310.100265 184.228737 \nL 310.709602 182.426654 \nL 311.318938 179.421927 \nL 311.928275 177.697724 \nL 312.537611 180.031919 \nL 313.146948 183.034297 \nL 313.756285 179.573381 \nL 314.365621 179.650742 \nL 314.974958 180.704379 \nL 315.584294 183.899004 \nL 316.193631 184.940619 \nL 316.802968 185.212332 \nL 317.412304 187.69405 \nL 318.021641 193.793535 \nL 318.630977 193.422499 \nL 319.240314 193.605808 \nL 319.849651 184.94478 \nL 320.458987 182.344848 \nL 321.068324 177.745795 \nL 321.67766 178.594036 \nL 322.286997 181.563263 \nL 322.896334 180.936935 \nL 323.50567 183.553649 \nL 324.115007 188.71509 \nL 324.724344 181.461572 \nL 325.33368 180.718418 \nL 325.943017 181.459218 \nL 326.552353 181.616773 \nL 327.16169 184.237438 \nL 327.771027 198.209836 \nL 328.9897 182.687934 \nL 329.599036 181.943866 \nL 330.208373 182.299024 \nL 330.81771 180.397592 \nL 331.427046 184.401252 \nL 332.036383 191.425118 \nL 332.645719 184.665553 \nL 333.255056 183.325258 \nL 334.473729 182.846816 \nL 335.083066 183.595699 \nL 335.692402 190.112933 \nL 336.301739 204.825573 \nL 336.911076 208.653496 \nL 337.520412 187.287308 \nL 338.129749 186.382768 \nL 338.739086 186.372402 \nL 339.348422 183.745981 \nL 339.957759 184.772037 \nL 340.567095 186.136449 \nL 341.176432 184.489152 \nL 341.785769 184.123773 \nL 342.395105 186.364595 \nL 343.004442 189.715193 \nL 343.613778 193.853109 \nL 344.223115 193.579446 \nL 345.441788 189.622084 \nL 346.051125 190.307849 \nL 346.660461 194.378638 \nL 347.269798 189.793149 \nL 347.879135 189.871019 \nL 348.488471 189.203982 \nL 349.097808 189.397928 \nL 349.707145 181.454566 \nL 350.925818 178.490489 \nL 351.535154 180.152926 \nL 352.144491 180.164113 \nL 352.753828 181.557686 \nL 353.363164 182.303963 \nL 353.972501 218.905723 \nL 354.581837 229.874489 \nL 354.581837 229.874489 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.9;\"/>\n   </g>\n   <g id=\"line2d_13\">\n    <path clip-path=\"url(#p6c21cd5488)\" d=\"M 50.522869 124.033511 \nL 54.483557 123.913199 \nL 58.139577 123.586861 \nL 61.795597 123.048965 \nL 65.451616 122.291348 \nL 69.107636 121.30203 \nL 72.458987 120.177591 \nL 75.810339 118.827769 \nL 79.16169 117.230666 \nL 82.208373 115.540379 \nL 85.255056 113.594681 \nL 87.997071 111.595838 \nL 90.739086 109.327519 \nL 93.4811 106.74565 \nL 95.918447 104.140244 \nL 98.355793 101.185084 \nL 100.488471 98.253075 \nL 102.621149 94.924538 \nL 104.449159 91.681387 \nL 106.277169 87.984979 \nL 107.800511 84.466595 \nL 109.323852 80.43549 \nL 110.847194 75.731581 \nL 112.065867 71.325446 \nL 113.28454 66.160833 \nL 114.503213 60.033353 \nL 116.94056 46.543374 \nL 117.245228 45.617446 \nL 117.549896 45.154142 \nL 117.854565 45.181713 \nL 118.159233 45.659414 \nL 118.76857 47.575 \nL 121.205916 57.062191 \nL 122.119921 59.659763 \nL 123.033926 61.694487 \nL 123.947931 63.241367 \nL 124.861936 64.359972 \nL 125.775941 65.090824 \nL 126.689945 65.456984 \nL 127.299282 65.502701 \nL 127.908619 65.388293 \nL 128.517955 65.109133 \nL 129.127292 64.657363 \nL 130.041297 63.63016 \nL 130.955302 62.13339 \nL 131.869307 60.093384 \nL 132.783312 57.433236 \nL 134.001985 52.972455 \nL 134.91599 49.702923 \nL 135.220658 48.982402 \nL 135.525326 48.630295 \nL 135.829995 48.74236 \nL 136.134663 49.358839 \nL 136.744 51.916518 \nL 137.962673 59.478833 \nL 139.486014 68.623644 \nL 140.704688 74.775936 \nL 142.228029 81.26843 \nL 143.751371 86.782704 \nL 145.57938 92.475206 \nL 147.40739 97.429128 \nL 149.540068 102.517195 \nL 151.672746 107.037394 \nL 154.110093 111.665722 \nL 156.547439 115.839953 \nL 159.289454 120.101167 \nL 162.336137 124.398113 \nL 165.38282 128.317672 \nL 168.734172 132.268484 \nL 172.390191 136.218206 \nL 176.046211 139.85094 \nL 180.006899 143.482169 \nL 184.272255 147.089266 \nL 188.84228 150.653271 \nL 193.716973 154.158155 \nL 198.896334 157.590198 \nL 204.075695 160.75861 \nL 209.559724 163.859616 \nL 215.348422 166.880987 \nL 221.441788 169.811544 \nL 227.839823 172.640888 \nL 234.542525 175.359163 \nL 241.549896 177.956849 \nL 248.861936 180.424581 \nL 256.478643 182.752982 \nL 264.400019 184.932506 \nL 272.321395 186.882658 \nL 280.547439 188.680642 \nL 289.078152 190.314946 \nL 297.608864 191.726984 \nL 306.444245 192.965882 \nL 315.584294 194.01758 \nL 324.724344 194.843227 \nL 333.864393 195.44879 \nL 343.30911 195.847844 \nL 352.753828 196.019388 \nL 354.886506 196.026798 \nL 354.886506 196.026798 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:0.9;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 35.304688 239.758125 \nL 35.304688 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 370.104688 239.758125 \nL 370.104688 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 35.304688 239.758125 \nL 370.104688 239.758125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 35.304688 22.318125 \nL 370.104688 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_11\">\n    <!-- Using Stingray's 'abs' normalization -->\n    <g transform=\"translate(95.360938 16.318125)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 8.6875 72.90625 \nL 18.609375 72.90625 \nL 18.609375 28.609375 \nQ 18.609375 16.890625 22.84375 11.734375 \nQ 27.09375 6.59375 36.625 6.59375 \nQ 46.09375 6.59375 50.34375 11.734375 \nQ 54.59375 16.890625 54.59375 28.609375 \nL 54.59375 72.90625 \nL 64.5 72.90625 \nL 64.5 27.390625 \nQ 64.5 13.140625 57.4375 5.859375 \nQ 50.390625 -1.421875 36.625 -1.421875 \nQ 22.796875 -1.421875 15.734375 5.859375 \nQ 8.6875 13.140625 8.6875 27.390625 \nz\n\" id=\"DejaVuSans-85\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 45.40625 27.984375 \nQ 45.40625 37.75 41.375 43.109375 \nQ 37.359375 48.484375 30.078125 48.484375 \nQ 22.859375 48.484375 18.828125 43.109375 \nQ 14.796875 37.75 14.796875 27.984375 \nQ 14.796875 18.265625 18.828125 12.890625 \nQ 22.859375 7.515625 30.078125 7.515625 \nQ 37.359375 7.515625 41.375 12.890625 \nQ 45.40625 18.265625 45.40625 27.984375 \nz\nM 54.390625 6.78125 \nQ 54.390625 -7.171875 48.1875 -13.984375 \nQ 42 -20.796875 29.203125 -20.796875 \nQ 24.46875 -20.796875 20.265625 -20.09375 \nQ 16.0625 -19.390625 12.109375 -17.921875 \nL 12.109375 -9.1875 \nQ 16.0625 -11.328125 19.921875 -12.34375 \nQ 23.78125 -13.375 27.78125 -13.375 \nQ 36.625 -13.375 41.015625 -8.765625 \nQ 45.40625 -4.15625 45.40625 5.171875 \nL 45.40625 9.625 \nQ 42.625 4.78125 38.28125 2.390625 \nQ 33.9375 0 27.875 0 \nQ 17.828125 0 11.671875 7.65625 \nQ 5.515625 15.328125 5.515625 27.984375 \nQ 5.515625 40.671875 11.671875 48.328125 \nQ 17.828125 56 27.875 56 \nQ 33.9375 56 38.28125 53.609375 \nQ 42.625 51.21875 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nz\n\" id=\"DejaVuSans-103\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 53.515625 70.515625 \nL 53.515625 60.890625 \nQ 47.90625 63.578125 42.921875 64.890625 \nQ 37.9375 66.21875 33.296875 66.21875 \nQ 25.25 66.21875 20.875 63.09375 \nQ 16.5 59.96875 16.5 54.203125 \nQ 16.5 49.359375 19.40625 46.890625 \nQ 22.3125 44.4375 30.421875 42.921875 \nL 36.375 41.703125 \nQ 47.40625 39.59375 52.65625 34.296875 \nQ 57.90625 29 57.90625 20.125 \nQ 57.90625 9.515625 50.796875 4.046875 \nQ 43.703125 -1.421875 29.984375 -1.421875 \nQ 24.8125 -1.421875 18.96875 -0.25 \nQ 13.140625 0.921875 6.890625 3.21875 \nL 6.890625 13.375 \nQ 12.890625 10.015625 18.65625 8.296875 \nQ 24.421875 6.59375 29.984375 6.59375 \nQ 38.421875 6.59375 43.015625 9.90625 \nQ 47.609375 13.234375 47.609375 19.390625 \nQ 47.609375 24.75 44.3125 27.78125 \nQ 41.015625 30.8125 33.5 32.328125 \nL 27.484375 33.5 \nQ 16.453125 35.6875 11.515625 40.375 \nQ 6.59375 45.0625 6.59375 53.421875 \nQ 6.59375 63.09375 13.40625 68.65625 \nQ 20.21875 74.21875 32.171875 74.21875 \nQ 37.3125 74.21875 42.625 73.28125 \nQ 47.953125 72.359375 53.515625 70.515625 \nz\n\" id=\"DejaVuSans-83\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 32.171875 -5.078125 \nQ 28.375 -14.84375 24.75 -17.8125 \nQ 21.140625 -20.796875 15.09375 -20.796875 \nL 7.90625 -20.796875 \nL 7.90625 -13.28125 \nL 13.1875 -13.28125 \nQ 16.890625 -13.28125 18.9375 -11.515625 \nQ 21 -9.765625 23.484375 -3.21875 \nL 25.09375 0.875 \nL 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 11.921875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nz\n\" id=\"DejaVuSans-121\"/>\n      <path d=\"M 17.921875 72.90625 \nL 17.921875 45.796875 \nL 9.625 45.796875 \nL 9.625 72.90625 \nz\n\" id=\"DejaVuSans-39\"/>\n      <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n      <path d=\"M 5.515625 54.6875 \nL 48.1875 54.6875 \nL 48.1875 46.484375 \nL 14.40625 7.171875 \nL 48.1875 7.171875 \nL 48.1875 0 \nL 4.296875 0 \nL 4.296875 8.203125 \nL 38.09375 47.515625 \nL 5.515625 47.515625 \nz\n\" id=\"DejaVuSans-122\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-85\"/>\n     <use x=\"73.193359\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"125.292969\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"153.076172\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"216.455078\" xlink:href=\"#DejaVuSans-103\"/>\n     <use x=\"279.931641\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"311.71875\" xlink:href=\"#DejaVuSans-83\"/>\n     <use x=\"375.195312\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"414.404297\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"442.1875\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"505.566406\" xlink:href=\"#DejaVuSans-103\"/>\n     <use x=\"569.042969\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"610.15625\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"671.435547\" xlink:href=\"#DejaVuSans-121\"/>\n     <use x=\"730.615234\" xlink:href=\"#DejaVuSans-39\"/>\n     <use x=\"758.105469\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"810.205078\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"841.992188\" xlink:href=\"#DejaVuSans-39\"/>\n     <use x=\"869.482422\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"930.761719\" xlink:href=\"#DejaVuSans-98\"/>\n     <use x=\"994.238281\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"1046.337891\" xlink:href=\"#DejaVuSans-39\"/>\n     <use x=\"1073.828125\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1105.615234\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"1168.994141\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1230.175781\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"1269.539062\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"1366.951172\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"1428.230469\" xlink:href=\"#DejaVuSans-108\"/>\n     <use x=\"1456.013672\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"1483.796875\" xlink:href=\"#DejaVuSans-122\"/>\n     <use x=\"1536.287109\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"1597.566406\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1636.775391\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"1664.558594\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1725.740234\" xlink:href=\"#DejaVuSans-110\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 42.304688 234.758125 \nL 274.167188 234.758125 \nQ 276.167188 234.758125 276.167188 232.758125 \nL 276.167188 189.72375 \nQ 276.167188 187.72375 274.167188 187.72375 \nL 42.304688 187.72375 \nQ 40.304688 187.72375 40.304688 189.72375 \nL 40.304688 232.758125 \nQ 40.304688 234.758125 42.304688 234.758125 \nz\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n    </g>\n    <g id=\"line2d_14\">\n     <path d=\"M 44.304688 195.822188 \nL 64.304688 195.822188 \n\" style=\"fill:none;stroke:#7b68ee;stroke-linecap:square;stroke-width:0.9;\"/>\n    </g>\n    <g id=\"line2d_15\"/>\n    <g id=\"text_12\">\n     <!-- Classical periodogram (Stingray) -->\n     <g transform=\"translate(72.304688 199.322188)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 64.40625 67.28125 \nL 64.40625 56.890625 \nQ 59.421875 61.53125 53.78125 63.8125 \nQ 48.140625 66.109375 41.796875 66.109375 \nQ 29.296875 66.109375 22.65625 58.46875 \nQ 16.015625 50.828125 16.015625 36.375 \nQ 16.015625 21.96875 22.65625 14.328125 \nQ 29.296875 6.6875 41.796875 6.6875 \nQ 48.140625 6.6875 53.78125 8.984375 \nQ 59.421875 11.28125 64.40625 15.921875 \nL 64.40625 5.609375 \nQ 59.234375 2.09375 53.4375 0.328125 \nQ 47.65625 -1.421875 41.21875 -1.421875 \nQ 24.65625 -1.421875 15.125 8.703125 \nQ 5.609375 18.84375 5.609375 36.375 \nQ 5.609375 53.953125 15.125 64.078125 \nQ 24.65625 74.21875 41.21875 74.21875 \nQ 47.75 74.21875 53.53125 72.484375 \nQ 59.328125 70.75 64.40625 67.28125 \nz\n\" id=\"DejaVuSans-67\"/>\n       <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n       <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n       <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n       <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n       <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n       <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-67\"/>\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"97.607422\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"158.886719\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"210.986328\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"263.085938\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"290.869141\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"345.849609\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"407.128906\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"434.912109\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"466.699219\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"530.175781\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"591.699219\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"632.8125\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"660.595703\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"721.777344\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"785.253906\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"846.435547\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"909.912109\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"951.025391\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1012.304688\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"1109.716797\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1141.503906\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"1180.517578\" xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"1243.994141\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1283.203125\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"1310.986328\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"1374.365234\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"1437.841797\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"1478.955078\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1540.234375\" xlink:href=\"#DejaVuSans-121\"/>\n      <use x=\"1599.414062\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n    <g id=\"line2d_16\">\n     <path d=\"M 44.304688 210.500313 \nL 64.304688 210.500313 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.9;\"/>\n    </g>\n    <g id=\"line2d_17\"/>\n    <g id=\"text_13\">\n     <!-- Multitaper Spectral Estimator (Stingray) -->\n     <g transform=\"translate(72.304688 214.000313)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 9.8125 72.90625 \nL 24.515625 72.90625 \nL 43.109375 23.296875 \nL 61.8125 72.90625 \nL 76.515625 72.90625 \nL 76.515625 0 \nL 66.890625 0 \nL 66.890625 64.015625 \nL 48.09375 14.015625 \nL 38.1875 14.015625 \nL 19.390625 64.015625 \nL 19.390625 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-77\"/>\n       <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n       <path d=\"M 9.8125 72.90625 \nL 55.90625 72.90625 \nL 55.90625 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.015625 \nL 54.390625 43.015625 \nL 54.390625 34.71875 \nL 19.671875 34.71875 \nL 19.671875 8.296875 \nL 56.78125 8.296875 \nL 56.78125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-69\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-77\"/>\n      <use x=\"86.279297\" xlink:href=\"#DejaVuSans-117\"/>\n      <use x=\"149.658203\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"177.441406\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"216.650391\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"244.433594\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"283.642578\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"344.921875\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"408.398438\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"469.921875\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"511.035156\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"542.822266\" xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"606.298828\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"669.775391\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"731.298828\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"786.279297\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"825.488281\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"866.601562\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"927.880859\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"955.664062\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"987.451172\" xlink:href=\"#DejaVuSans-69\"/>\n      <use x=\"1050.634766\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"1102.734375\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1141.943359\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"1169.726562\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"1267.138672\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1328.417969\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1367.626953\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"1428.808594\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"1469.921875\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1501.708984\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"1540.722656\" xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"1604.199219\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1643.408203\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"1671.191406\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"1734.570312\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"1798.046875\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"1839.160156\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1900.439453\" xlink:href=\"#DejaVuSans-121\"/>\n      <use x=\"1959.619141\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n    <g id=\"line2d_18\">\n     <path d=\"M 44.304688 225.178438 \nL 64.304688 225.178438 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:0.9;\"/>\n    </g>\n    <g id=\"line2d_19\"/>\n    <g id=\"text_14\">\n     <!-- Analytic form of AR(4) -->\n     <g transform=\"translate(72.304688 228.678438)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 34.1875 63.1875 \nL 20.796875 26.90625 \nL 47.609375 26.90625 \nz\nM 28.609375 72.90625 \nL 39.796875 72.90625 \nL 67.578125 0 \nL 57.328125 0 \nL 50.6875 18.703125 \nL 17.828125 18.703125 \nL 11.1875 0 \nL 0.78125 0 \nz\n\" id=\"DejaVuSans-65\"/>\n       <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n       <path d=\"M 44.390625 34.1875 \nQ 47.5625 33.109375 50.5625 29.59375 \nQ 53.5625 26.078125 56.59375 19.921875 \nL 66.609375 0 \nL 56 0 \nL 46.6875 18.703125 \nQ 43.0625 26.03125 39.671875 28.421875 \nQ 36.28125 30.8125 30.421875 30.8125 \nL 19.671875 30.8125 \nL 19.671875 0 \nL 9.8125 0 \nL 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.578125 72.90625 50.734375 67.671875 \nQ 56.890625 62.453125 56.890625 51.90625 \nQ 56.890625 45.015625 53.6875 40.46875 \nQ 50.484375 35.9375 44.390625 34.1875 \nz\nM 19.671875 64.796875 \nL 19.671875 38.921875 \nL 32.078125 38.921875 \nQ 39.203125 38.921875 42.84375 42.21875 \nQ 46.484375 45.515625 46.484375 51.90625 \nQ 46.484375 58.296875 42.84375 61.546875 \nQ 39.203125 64.796875 32.078125 64.796875 \nz\n\" id=\"DejaVuSans-82\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-65\"/>\n      <use x=\"68.408203\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"131.787109\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"193.066406\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"220.849609\" xlink:href=\"#DejaVuSans-121\"/>\n      <use x=\"280.029297\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"319.238281\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"347.021484\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"402.001953\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"433.789062\" xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"468.994141\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"530.175781\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"569.539062\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"666.951172\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"698.738281\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"759.919922\" xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"795.125\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"826.912109\" xlink:href=\"#DejaVuSans-65\"/>\n      <use x=\"895.320312\" xlink:href=\"#DejaVuSans-82\"/>\n      <use x=\"964.802734\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"1003.816406\" xlink:href=\"#DejaVuSans-52\"/>\n      <use x=\"1067.439453\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p6c21cd5488\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"35.304688\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "ps = Powerspectrum(lc2, norm='abs')\n",
    "mtp = Multitaper(lc2, norm='abs', adaptive=True, Fs=1)\n",
    "\n",
    "ps_dB = 10 * np.log10(ps.power)\n",
    "mtp_dB = 10 * np.log10(mtp.power)\n",
    "\n",
    "fig = plt.figure()\n",
    "plt.title(\"Using Stingray's 'abs' normalization\")\n",
    "plt.plot(ps.freq, ps_dB, label='Classical periodogram (Stingray)', color='mediumslateblue', linewidth=.9)\n",
    "plt.plot(mtp.freq, mtp_dB, label='Multitaper Spectral Estimator (Stingray)', color='black', linewidth=.9)\n",
    "plt.plot(freq, psd, label='Analytic form of AR(4)', color='red', linewidth=.9)\n",
    "leg = plt.legend()\n",
    "plt.savefig(\"Stingray_abs_norm.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "/home/dhruv/miniconda3/envs/stingray/lib/python3.8/site-packages/numpy/core/_asarray.py:102: ComplexWarning: Casting complex values to real discards the imaginary part\n  return array(a, dtype, copy=False, order=order)\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"263.63625pt\" version=\"1.1\" viewBox=\"0 0 377.304688 263.63625\" width=\"377.304688pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-03-14T16:32:47.614240</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.3.4, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 263.63625 \nL 377.304688 263.63625 \nL 377.304688 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 35.304688 239.758125 \nL 370.104688 239.758125 \nL 370.104688 22.318125 \nL 35.304688 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m213aa55648\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.522869\" xlink:href=\"#m213aa55648\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0.0 -->\n      <g transform=\"translate(42.571307 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n        <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"111.45653\" xlink:href=\"#m213aa55648\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 0.1 -->\n      <g transform=\"translate(103.504968 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"172.390191\" xlink:href=\"#m213aa55648\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 0.2 -->\n      <g transform=\"translate(164.438629 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"233.323852\" xlink:href=\"#m213aa55648\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 0.3 -->\n      <g transform=\"translate(225.37229 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"294.257513\" xlink:href=\"#m213aa55648\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 0.4 -->\n      <g transform=\"translate(286.305951 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"355.191174\" xlink:href=\"#m213aa55648\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 0.5 -->\n      <g transform=\"translate(347.239611 254.356563)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m5f2f658f82\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m5f2f658f82\" y=\"233.488197\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- −40 -->\n      <g transform=\"translate(7.2 237.287416)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m5f2f658f82\" y=\"186.79378\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- −20 -->\n      <g transform=\"translate(7.2 190.592999)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m5f2f658f82\" y=\"140.099363\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0 -->\n      <g transform=\"translate(21.942188 143.898582)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m5f2f658f82\" y=\"93.404946\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 20 -->\n      <g transform=\"translate(15.579688 97.204165)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m5f2f658f82\" y=\"46.710529\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 40 -->\n      <g transform=\"translate(15.579688 50.509748)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_12\">\n    <path clip-path=\"url(#p92c77f1c32)\" d=\"M 51.132206 116.019036 \nL 51.741543 115.759308 \nL 52.350879 106.84204 \nL 52.960216 110.487581 \nL 53.569552 124.803485 \nL 54.178889 106.492846 \nL 56.006899 136.581214 \nL 56.616235 115.093975 \nL 57.225572 140.086431 \nL 57.834909 115.221383 \nL 58.444245 125.71972 \nL 59.053582 149.655115 \nL 59.662918 109.933245 \nL 60.272255 105.052463 \nL 60.881592 109.958973 \nL 61.490928 112.652906 \nL 62.100265 119.397566 \nL 62.709602 112.892526 \nL 63.318938 127.68593 \nL 63.928275 139.33596 \nL 64.537611 127.525198 \nL 65.146948 148.91642 \nL 65.756285 104.72325 \nL 66.365621 100.464713 \nL 66.974958 139.127567 \nL 67.584294 138.816797 \nL 68.193631 105.734153 \nL 68.802968 127.573412 \nL 69.412304 101.090335 \nL 70.021641 163.546892 \nL 70.630977 106.282229 \nL 71.240314 114.685767 \nL 71.849651 104.710977 \nL 72.458987 105.524235 \nL 73.068324 104.994303 \nL 74.286997 128.241135 \nL 74.896334 109.224084 \nL 75.50567 103.053349 \nL 76.115007 124.592733 \nL 76.724344 118.535096 \nL 77.33368 136.630818 \nL 77.943017 115.001863 \nL 78.552353 172.503592 \nL 79.16169 111.383787 \nL 79.771027 111.470443 \nL 80.380363 102.128006 \nL 80.9897 107.326506 \nL 81.599036 111.328741 \nL 82.208373 108.785042 \nL 82.81771 113.635798 \nL 83.427046 98.773559 \nL 84.036383 109.716415 \nL 84.645719 99.966737 \nL 85.255056 103.176023 \nL 85.864393 108.138489 \nL 86.473729 137.838165 \nL 87.083066 96.578353 \nL 87.692402 100.805096 \nL 88.301739 130.039014 \nL 88.911076 102.766766 \nL 89.520412 101.706927 \nL 90.129749 96.655386 \nL 90.739086 96.759818 \nL 91.348422 101.504414 \nL 92.567095 115.896781 \nL 93.176432 91.293893 \nL 93.785769 106.015225 \nL 94.395105 112.353698 \nL 95.613778 93.175298 \nL 96.223115 103.121088 \nL 96.832452 90.26872 \nL 97.441788 95.936962 \nL 98.051125 91.469731 \nL 98.660461 92.591897 \nL 99.269798 91.873854 \nL 99.879135 78.82987 \nL 100.488471 73.581512 \nL 101.097808 82.272474 \nL 101.707145 87.848781 \nL 102.316481 80.077519 \nL 102.925818 92.435154 \nL 103.535154 76.446172 \nL 104.144491 83.124447 \nL 104.753828 91.469485 \nL 105.363164 64.263991 \nL 105.972501 110.643621 \nL 106.581837 111.967693 \nL 107.191174 68.032868 \nL 107.800511 99.530402 \nL 108.409847 97.133512 \nL 109.019184 57.234342 \nL 109.62852 70.453313 \nL 110.237857 71.229657 \nL 110.847194 73.523095 \nL 111.45653 74.018478 \nL 112.065867 59.939462 \nL 112.675203 73.43538 \nL 113.28454 52.983279 \nL 113.893877 57.293553 \nL 114.503213 86.906111 \nL 115.11255 65.324036 \nL 115.721887 57.06421 \nL 116.331223 63.594074 \nL 116.94056 38.388274 \nL 117.549896 47.695068 \nL 118.159233 38.167923 \nL 118.76857 46.470961 \nL 119.377906 62.274588 \nL 119.987243 48.34723 \nL 120.596579 55.254138 \nL 121.205916 45.376366 \nL 121.815253 50.316584 \nL 122.424589 47.62038 \nL 123.033926 63.885142 \nL 123.643262 53.670707 \nL 124.252599 47.776732 \nL 124.861936 60.113068 \nL 125.471272 46.627499 \nL 126.080609 56.285343 \nL 126.689945 53.790336 \nL 127.299282 70.868261 \nL 127.908619 68.51343 \nL 128.517955 50.835227 \nL 129.127292 48.966914 \nL 129.736629 53.295349 \nL 130.345965 40.610586 \nL 130.955302 66.701866 \nL 131.564638 55.663395 \nL 132.173975 49.319631 \nL 132.783312 49.633199 \nL 133.392648 80.047317 \nL 134.001985 66.260647 \nL 134.611321 49.038233 \nL 135.220658 62.754325 \nL 135.829995 32.201761 \nL 136.439331 38.673516 \nL 137.048668 40.096746 \nL 137.658004 43.091594 \nL 138.267341 65.199155 \nL 138.876678 80.294772 \nL 139.486014 55.031123 \nL 140.095351 83.714751 \nL 140.704688 66.033394 \nL 141.314024 65.871169 \nL 141.923361 115.562894 \nL 142.532697 77.361489 \nL 143.142034 94.366366 \nL 143.751371 114.838378 \nL 144.360707 75.380101 \nL 144.970044 89.804578 \nL 145.57938 101.458301 \nL 146.188717 87.808008 \nL 146.798054 86.761659 \nL 147.40739 98.358272 \nL 148.016727 86.252706 \nL 148.626063 99.315175 \nL 149.2354 125.797893 \nL 149.844737 96.203262 \nL 150.454073 83.712581 \nL 151.06341 91.211488 \nL 151.672746 89.063221 \nL 152.282083 96.386455 \nL 152.89142 121.813809 \nL 153.500756 94.194537 \nL 154.110093 124.633521 \nL 154.71943 106.442339 \nL 155.328766 115.298292 \nL 155.938103 122.267191 \nL 156.547439 115.001443 \nL 157.766113 96.610423 \nL 158.984786 126.581498 \nL 159.594122 113.74627 \nL 160.203459 109.129585 \nL 160.812796 102.737869 \nL 161.422132 98.509225 \nL 162.031469 107.848532 \nL 162.640805 146.70057 \nL 163.250142 114.769869 \nL 163.859479 116.127392 \nL 164.468815 129.545256 \nL 165.078152 119.446387 \nL 165.687488 117.275694 \nL 166.296825 108.889619 \nL 166.906162 112.924596 \nL 167.515498 121.206555 \nL 168.124835 119.81469 \nL 169.343508 118.413837 \nL 169.952845 103.454465 \nL 170.562181 119.338775 \nL 171.171518 117.082093 \nL 171.780855 119.054066 \nL 172.390191 111.371394 \nL 172.999528 125.165689 \nL 173.608864 115.571893 \nL 174.218201 119.329424 \nL 174.827538 111.306218 \nL 175.436874 114.657555 \nL 176.046211 119.600509 \nL 176.655547 112.68269 \nL 177.264884 119.840281 \nL 177.874221 119.563781 \nL 178.483557 122.050639 \nL 179.092894 117.416639 \nL 179.70223 124.32124 \nL 180.311567 126.020161 \nL 180.920904 124.189889 \nL 181.53024 127.587512 \nL 182.139577 126.915866 \nL 182.748914 112.609785 \nL 183.35825 138.836826 \nL 183.967587 143.568682 \nL 184.576923 123.905596 \nL 185.18626 144.686766 \nL 185.795597 120.762303 \nL 186.404933 127.401109 \nL 187.623606 117.065849 \nL 188.84228 129.836494 \nL 189.451616 119.078201 \nL 190.060953 121.976 \nL 190.670289 123.921102 \nL 191.279626 124.94166 \nL 191.888963 126.794255 \nL 192.498299 126.746858 \nL 193.107636 121.89434 \nL 193.716973 142.194772 \nL 194.326309 133.385202 \nL 194.935646 144.509112 \nL 195.544982 121.834055 \nL 196.763656 128.852861 \nL 197.372992 124.035996 \nL 197.982329 122.728418 \nL 198.591665 125.918391 \nL 199.201002 127.536148 \nL 199.810339 122.849562 \nL 200.419675 128.022674 \nL 201.029012 123.414963 \nL 201.638348 133.786455 \nL 202.247685 125.272623 \nL 202.857022 127.10521 \nL 203.466358 127.89256 \nL 204.075695 125.00871 \nL 204.685031 130.239842 \nL 205.294368 133.741204 \nL 205.903705 120.443299 \nL 206.513041 132.46493 \nL 207.122378 129.72172 \nL 207.731715 132.358763 \nL 208.341051 123.68073 \nL 208.950388 130.012818 \nL 209.559724 130.45695 \nL 210.169061 133.464249 \nL 210.778398 128.071492 \nL 211.387734 128.138162 \nL 211.997071 129.406897 \nL 212.606407 125.373992 \nL 213.215744 127.888289 \nL 214.434417 137.42333 \nL 215.043754 137.257947 \nL 215.65309 129.632912 \nL 216.262427 132.314311 \nL 217.4811 130.019885 \nL 218.090437 127.095657 \nL 218.699773 130.719908 \nL 219.30911 130.643065 \nL 219.918447 128.562843 \nL 220.527783 129.529126 \nL 221.13712 131.634643 \nL 221.746457 132.265889 \nL 222.355793 127.794267 \nL 222.96513 134.054011 \nL 223.574466 132.454624 \nL 224.183803 132.869969 \nL 224.79314 132.825609 \nL 225.402476 130.326638 \nL 226.011813 128.304858 \nL 226.621149 130.284363 \nL 227.230486 134.81432 \nL 227.839823 133.078146 \nL 228.449159 135.663161 \nL 229.058496 135.690459 \nL 229.667832 130.574386 \nL 230.277169 133.305887 \nL 230.886506 134.16341 \nL 231.495842 132.864369 \nL 232.105179 129.704466 \nL 232.714516 135.254774 \nL 233.323852 131.24469 \nL 233.933189 133.264362 \nL 234.542525 133.454464 \nL 235.151862 130.278941 \nL 235.761199 132.364814 \nL 236.370535 135.332828 \nL 236.979872 132.517519 \nL 238.198545 135.303668 \nL 238.807882 132.756027 \nL 239.417218 134.209339 \nL 240.026555 133.588169 \nL 240.635891 133.209068 \nL 241.245228 131.368075 \nL 241.854565 132.219332 \nL 242.463901 135.393675 \nL 243.073238 135.158808 \nL 243.682574 134.123946 \nL 244.291911 133.989467 \nL 244.901248 134.052177 \nL 245.510584 137.156307 \nL 246.119921 131.155232 \nL 246.729258 131.927293 \nL 247.338594 139.405985 \nL 247.947931 140.40653 \nL 248.557267 138.383899 \nL 249.166604 132.479485 \nL 249.775941 136.353166 \nL 250.385277 131.328848 \nL 250.994614 137.446733 \nL 251.60395 135.316108 \nL 252.213287 137.310016 \nL 252.822624 134.752753 \nL 253.43196 134.379298 \nL 254.041297 138.900273 \nL 254.650633 135.940817 \nL 255.25997 136.411577 \nL 255.869307 138.883009 \nL 256.478643 133.442807 \nL 257.08798 138.242685 \nL 257.697316 134.777445 \nL 258.306653 133.867575 \nL 258.91599 135.575352 \nL 259.525326 132.851606 \nL 260.134663 135.903378 \nL 260.744 133.383929 \nL 261.353336 141.342624 \nL 261.962673 137.260529 \nL 262.572009 134.948041 \nL 263.181346 136.603322 \nL 263.790683 135.388181 \nL 264.400019 135.45435 \nL 265.009356 137.400102 \nL 265.618692 137.648495 \nL 266.228029 134.928699 \nL 266.837366 135.117751 \nL 267.446702 133.366409 \nL 268.056039 137.811805 \nL 269.274712 138.606148 \nL 269.884049 138.531313 \nL 270.493385 135.256304 \nL 271.102722 135.445658 \nL 271.712059 138.234372 \nL 272.321395 136.711244 \nL 272.930732 137.647372 \nL 273.540068 137.819748 \nL 274.149405 135.969812 \nL 274.758742 135.673729 \nL 275.368078 133.89625 \nL 275.977415 139.509708 \nL 276.586751 135.445716 \nL 277.196088 133.207536 \nL 277.805425 137.97356 \nL 278.414761 134.580604 \nL 279.024098 138.422084 \nL 279.633434 137.401878 \nL 280.242771 137.839597 \nL 280.852108 135.764906 \nL 281.461444 136.658679 \nL 282.070781 135.000146 \nL 282.680117 137.17801 \nL 283.289454 136.732151 \nL 283.898791 139.034197 \nL 284.508127 137.324707 \nL 285.117464 138.425493 \nL 285.726801 137.976434 \nL 286.336137 138.675045 \nL 286.945474 139.747273 \nL 287.55481 138.483298 \nL 288.164147 135.496047 \nL 288.773484 134.215612 \nL 289.38282 136.11918 \nL 289.992157 140.804586 \nL 290.601493 138.425486 \nL 291.21083 138.560198 \nL 291.820167 138.988375 \nL 292.429503 136.688226 \nL 293.03884 134.847636 \nL 293.648176 134.564165 \nL 294.257513 137.378983 \nL 294.86685 137.024377 \nL 295.476186 139.903915 \nL 296.085523 138.194287 \nL 296.694859 135.721238 \nL 297.304196 139.221619 \nL 298.522869 137.729918 \nL 299.132206 135.960905 \nL 299.741543 136.62809 \nL 300.350879 139.328198 \nL 300.960216 138.747749 \nL 301.569552 137.212046 \nL 302.178889 136.911982 \nL 302.788226 136.210004 \nL 303.397562 138.666709 \nL 304.006899 137.826736 \nL 304.616235 136.680336 \nL 305.225572 139.529078 \nL 305.834909 136.773182 \nL 306.444245 141.743613 \nL 307.053582 138.196749 \nL 307.662918 139.998739 \nL 308.272255 137.155233 \nL 308.881592 137.961223 \nL 309.490928 137.926248 \nL 310.100265 138.702234 \nL 310.709602 137.969538 \nL 311.318938 139.034183 \nL 311.928275 136.19059 \nL 312.537611 139.27622 \nL 313.146948 139.903262 \nL 313.756285 138.850339 \nL 314.365621 135.806636 \nL 315.584294 141.343743 \nL 316.193631 137.857116 \nL 316.802968 140.181799 \nL 317.412304 138.140704 \nL 318.021641 138.475316 \nL 318.630977 136.050462 \nL 319.849651 139.341085 \nL 321.068324 139.602548 \nL 322.286997 137.002337 \nL 322.896334 141.429678 \nL 323.50567 138.058766 \nL 324.115007 138.198336 \nL 324.724344 136.638039 \nL 325.33368 138.829874 \nL 325.943017 140.089558 \nL 326.552353 136.28705 \nL 327.16169 137.912887 \nL 327.771027 138.730755 \nL 328.380363 138.750974 \nL 328.9897 139.280825 \nL 329.599036 137.841486 \nL 330.208373 138.134017 \nL 330.81771 140.178598 \nL 331.427046 140.723316 \nL 332.036383 140.260779 \nL 332.645719 137.454016 \nL 333.255056 139.797659 \nL 333.864393 137.230648 \nL 334.473729 141.163639 \nL 335.083066 136.797474 \nL 335.692402 139.399501 \nL 336.301739 140.306005 \nL 336.911076 139.168816 \nL 337.520412 139.425281 \nL 338.129749 140.96289 \nL 338.739086 141.847924 \nL 339.348422 137.488359 \nL 339.957759 139.304469 \nL 340.567095 138.984848 \nL 341.176432 139.878354 \nL 341.785769 137.786344 \nL 342.395105 139.931605 \nL 343.004442 139.848773 \nL 343.613778 137.828989 \nL 344.223115 136.770266 \nL 344.832452 138.787961 \nL 345.441788 138.313063 \nL 346.051125 139.604118 \nL 346.660461 138.508545 \nL 347.269798 140.38308 \nL 347.879135 141.001582 \nL 348.488471 139.612373 \nL 349.097808 137.905815 \nL 349.707145 139.519943 \nL 350.316481 136.521084 \nL 350.925818 138.307877 \nL 351.535154 141.295871 \nL 352.144491 137.1539 \nL 352.753828 141.358185 \nL 353.363164 137.266841 \nL 353.972501 138.467004 \nL 354.581837 139.932173 \nL 354.581837 139.932173 \n\" style=\"fill:none;stroke:#7b68ee;stroke-linecap:square;stroke-width:0.9;\"/>\n   </g>\n   <g id=\"line2d_13\">\n    <path clip-path=\"url(#p92c77f1c32)\" d=\"M 51.132206 113.831228 \nL 51.741543 112.506281 \nL 52.350879 111.848599 \nL 53.569552 114.619394 \nL 54.178889 119.238155 \nL 54.788226 119.154289 \nL 55.397562 122.314644 \nL 56.006899 123.991207 \nL 56.616235 125.244983 \nL 57.225572 121.162586 \nL 57.834909 118.227047 \nL 59.053582 114.808211 \nL 59.662918 112.838218 \nL 60.272255 113.55817 \nL 60.881592 113.331743 \nL 61.490928 114.662369 \nL 62.709602 119.375586 \nL 63.318938 116.10688 \nL 63.928275 111.24608 \nL 64.537611 112.39701 \nL 65.146948 112.577797 \nL 65.756285 111.102068 \nL 66.365621 110.353905 \nL 66.974958 106.924698 \nL 67.584294 108.523852 \nL 68.193631 110.548763 \nL 68.802968 109.858095 \nL 69.412304 107.758477 \nL 70.021641 108.784144 \nL 70.630977 107.434882 \nL 71.240314 109.328143 \nL 71.849651 109.967164 \nL 72.458987 110.792851 \nL 73.068324 110.411917 \nL 73.67766 112.80964 \nL 74.286997 112.823514 \nL 75.50567 115.143037 \nL 76.115007 116.476346 \nL 76.724344 117.328096 \nL 77.33368 117.38499 \nL 77.943017 113.097177 \nL 79.16169 109.717074 \nL 79.771027 109.432784 \nL 80.380363 107.649854 \nL 80.9897 106.481453 \nL 81.599036 106.440391 \nL 82.208373 105.156792 \nL 82.81771 104.373955 \nL 83.427046 103.858294 \nL 84.036383 104.761795 \nL 84.645719 104.150741 \nL 85.255056 103.788784 \nL 85.864393 104.044653 \nL 86.473729 104.723346 \nL 87.083066 104.083509 \nL 87.692402 102.488078 \nL 88.301739 100.167664 \nL 88.911076 100.429835 \nL 89.520412 101.344744 \nL 90.129749 101.150742 \nL 90.739086 99.620065 \nL 91.348422 99.672209 \nL 91.957759 101.264034 \nL 92.567095 100.773411 \nL 93.176432 100.971874 \nL 93.785769 101.02518 \nL 94.395105 99.160609 \nL 95.004442 98.231788 \nL 95.613778 98.470107 \nL 96.223115 97.640626 \nL 96.832452 99.40862 \nL 97.441788 89.749207 \nL 98.051125 84.719917 \nL 98.660461 84.266818 \nL 99.269798 82.349258 \nL 99.879135 82.079169 \nL 100.488471 80.959392 \nL 101.707145 80.381144 \nL 102.316481 84.625206 \nL 102.925818 79.350722 \nL 103.535154 79.384777 \nL 104.144491 79.876344 \nL 104.753828 77.098224 \nL 105.363164 79.18798 \nL 105.972501 78.440184 \nL 106.581837 72.822315 \nL 107.191174 73.506861 \nL 107.800511 72.922707 \nL 108.409847 71.445486 \nL 109.019184 69.002728 \nL 109.62852 67.10712 \nL 110.237857 66.863678 \nL 110.847194 62.740907 \nL 111.45653 62.0759 \nL 112.065867 62.349346 \nL 112.675203 60.975414 \nL 113.893877 60.302298 \nL 114.503213 50.942538 \nL 115.11255 50.416146 \nL 115.721887 47.470255 \nL 116.331223 46.319817 \nL 116.94056 45.854931 \nL 117.549896 45.728594 \nL 118.159233 44.713476 \nL 118.76857 44.653648 \nL 119.377906 47.7827 \nL 119.987243 47.692119 \nL 120.596579 51.40751 \nL 121.205916 50.052328 \nL 121.815253 50.46576 \nL 122.424589 50.098737 \nL 123.033926 51.085201 \nL 123.643262 52.982485 \nL 124.252599 52.93076 \nL 124.861936 53.926572 \nL 125.471272 55.860319 \nL 126.080609 58.605682 \nL 126.689945 52.798814 \nL 127.299282 55.330637 \nL 127.908619 51.183723 \nL 128.517955 52.334205 \nL 129.127292 52.050732 \nL 129.736629 50.476383 \nL 130.345965 49.690596 \nL 130.955302 50.700054 \nL 131.564638 54.095189 \nL 132.173975 55.483565 \nL 132.783312 51.840591 \nL 133.392648 46.756905 \nL 134.001985 43.780475 \nL 135.220658 42.199396 \nL 135.829995 42.327635 \nL 136.439331 42.866207 \nL 137.048668 42.637535 \nL 138.876678 55.134197 \nL 139.486014 66.779946 \nL 140.095351 70.948878 \nL 140.704688 72.131771 \nL 141.314024 83.834056 \nL 141.923361 81.025062 \nL 142.532697 85.785054 \nL 143.142034 89.667509 \nL 143.751371 88.031131 \nL 144.360707 88.119985 \nL 144.970044 86.69429 \nL 145.57938 86.532701 \nL 146.188717 90.114258 \nL 146.798054 91.422901 \nL 147.40739 93.15527 \nL 149.2354 93.354642 \nL 149.844737 95.104075 \nL 150.454073 94.391478 \nL 151.06341 93.351659 \nL 151.672746 95.006492 \nL 152.282083 97.252702 \nL 152.89142 98.322597 \nL 153.500756 102.811443 \nL 155.328766 111.776677 \nL 155.938103 108.239652 \nL 156.547439 111.464886 \nL 157.156776 111.916641 \nL 157.766113 113.152057 \nL 158.375449 112.352662 \nL 158.984786 111.141562 \nL 159.594122 112.356245 \nL 160.203459 114.039488 \nL 160.812796 116.114535 \nL 161.422132 116.696059 \nL 162.031469 115.74105 \nL 162.640805 116.869421 \nL 163.250142 125.129222 \nL 163.859479 123.727135 \nL 164.468815 126.082783 \nL 165.687488 126.983733 \nL 166.296825 129.812918 \nL 166.906162 130.39246 \nL 167.515498 127.34778 \nL 168.124835 129.48207 \nL 169.343508 128.284294 \nL 169.952845 125.516886 \nL 170.562181 124.193962 \nL 171.171518 125.679187 \nL 171.780855 127.875048 \nL 172.390191 127.281771 \nL 172.999528 125.943809 \nL 173.608864 126.233562 \nL 174.218201 130.19151 \nL 174.827538 129.343913 \nL 175.436874 132.322986 \nL 176.655547 132.585676 \nL 177.264884 133.237488 \nL 177.874221 137.40574 \nL 178.483557 145.170971 \nL 179.092894 147.824077 \nL 179.70223 147.092232 \nL 180.311567 138.693491 \nL 180.920904 134.498685 \nL 181.53024 133.695562 \nL 182.139577 133.21232 \nL 182.748914 133.650244 \nL 183.35825 132.524297 \nL 183.967587 133.831816 \nL 184.576923 140.809302 \nL 185.18626 142.41422 \nL 186.404933 140.30373 \nL 187.01427 142.927148 \nL 187.623606 143.900486 \nL 188.232943 146.429551 \nL 188.84228 146.20545 \nL 189.451616 145.735387 \nL 190.060953 146.136778 \nL 190.670289 149.261063 \nL 191.279626 146.344785 \nL 192.498299 145.656608 \nL 193.107636 142.30412 \nL 193.716973 143.594502 \nL 194.326309 143.072272 \nL 194.935646 145.609823 \nL 195.544982 146.243249 \nL 196.154319 147.127944 \nL 196.763656 152.754398 \nL 197.372992 154.245545 \nL 197.982329 157.082017 \nL 198.591665 162.396536 \nL 199.201002 157.422607 \nL 199.810339 154.682122 \nL 200.419675 153.976147 \nL 201.029012 159.269185 \nL 201.638348 160.123511 \nL 202.247685 159.547149 \nL 202.857022 169.978767 \nL 203.466358 158.935646 \nL 204.075695 153.034449 \nL 204.685031 152.103173 \nL 205.294368 151.514008 \nL 205.903705 148.677457 \nL 206.513041 148.219912 \nL 207.731715 154.394718 \nL 208.341051 153.459534 \nL 208.950388 154.863424 \nL 209.559724 163.355333 \nL 210.169061 164.281541 \nL 210.778398 161.417844 \nL 211.387734 161.094927 \nL 211.997071 166.733067 \nL 212.606407 165.759376 \nL 213.215744 160.059178 \nL 213.825081 164.147515 \nL 214.434417 165.494303 \nL 215.65309 160.297481 \nL 216.262427 160.31375 \nL 216.871764 163.81666 \nL 217.4811 164.2273 \nL 218.090437 164.213298 \nL 218.699773 167.80306 \nL 219.30911 176.26675 \nL 219.918447 170.350218 \nL 220.527783 166.000421 \nL 221.13712 165.15617 \nL 221.746457 167.198607 \nL 222.355793 168.223823 \nL 222.96513 171.126594 \nL 223.574466 177.084532 \nL 224.183803 176.92281 \nL 224.79314 173.098824 \nL 225.402476 167.442639 \nL 226.011813 167.977015 \nL 226.621149 168.150718 \nL 227.230486 167.380188 \nL 227.839823 162.142726 \nL 228.449159 162.392821 \nL 229.058496 163.431783 \nL 229.667832 163.751533 \nL 230.277169 162.699293 \nL 230.886506 164.028934 \nL 231.495842 172.961568 \nL 232.105179 175.628601 \nL 232.714516 176.40953 \nL 233.933189 179.213722 \nL 234.542525 174.188513 \nL 235.151862 173.863809 \nL 235.761199 174.13623 \nL 236.370535 177.106642 \nL 236.979872 181.973091 \nL 237.589208 182.272407 \nL 238.198545 181.710303 \nL 238.807882 180.895227 \nL 239.417218 180.702393 \nL 240.026555 180.05474 \nL 240.635891 175.106241 \nL 241.245228 174.63874 \nL 241.854565 175.276806 \nL 242.463901 174.466269 \nL 243.073238 171.877256 \nL 243.682574 173.111546 \nL 244.291911 169.468133 \nL 244.901248 166.597393 \nL 245.510584 165.596391 \nL 246.119921 165.888064 \nL 246.729258 164.829114 \nL 247.338594 167.733785 \nL 247.947931 172.813348 \nL 248.557267 171.57486 \nL 249.166604 171.486194 \nL 249.775941 173.032613 \nL 250.385277 173.986403 \nL 250.994614 171.855627 \nL 252.213287 176.629548 \nL 252.822624 172.20544 \nL 253.43196 171.980463 \nL 254.041297 171.521206 \nL 254.650633 170.899348 \nL 255.25997 170.677218 \nL 255.869307 173.049102 \nL 256.478643 174.408069 \nL 257.08798 174.082733 \nL 258.306653 179.851507 \nL 258.91599 178.517221 \nL 259.525326 173.531361 \nL 260.134663 169.880079 \nL 261.353336 171.798611 \nL 261.962673 174.919056 \nL 262.572009 186.644466 \nL 263.181346 189.940359 \nL 264.400019 187.272676 \nL 265.009356 184.652911 \nL 265.618692 181.354823 \nL 266.228029 179.563755 \nL 266.837366 181.055816 \nL 267.446702 180.497112 \nL 268.056039 184.007396 \nL 268.665375 195.542543 \nL 269.274712 192.648562 \nL 269.884049 186.478064 \nL 270.493385 187.562254 \nL 271.102722 193.796123 \nL 271.712059 195.019152 \nL 272.321395 194.146754 \nL 272.930732 192.0562 \nL 273.540068 189.256866 \nL 274.149405 177.872381 \nL 274.758742 178.185335 \nL 275.368078 174.863499 \nL 275.977415 173.825731 \nL 276.586751 173.486733 \nL 278.414761 182.371558 \nL 279.633434 186.27075 \nL 280.242771 181.991381 \nL 280.852108 180.974008 \nL 281.461444 186.887732 \nL 282.070781 190.748191 \nL 282.680117 191.564113 \nL 283.289454 187.643613 \nL 283.898791 186.936195 \nL 284.508127 187.870213 \nL 285.117464 190.735963 \nL 285.726801 190.840768 \nL 286.945474 182.910413 \nL 287.55481 180.355303 \nL 288.164147 176.524269 \nL 288.773484 178.948842 \nL 289.38282 177.22502 \nL 290.601493 181.518226 \nL 291.21083 181.961421 \nL 291.820167 182.142426 \nL 292.429503 184.099519 \nL 293.03884 193.542396 \nL 293.648176 189.150256 \nL 294.86685 183.0384 \nL 295.476186 182.062264 \nL 296.085523 181.539154 \nL 296.694859 184.406727 \nL 297.304196 184.465203 \nL 297.913533 189.293532 \nL 298.522869 185.015794 \nL 299.132206 185.515164 \nL 299.741543 188.873138 \nL 300.350879 195.36045 \nL 300.960216 195.527042 \nL 301.569552 185.529708 \nL 302.178889 185.616404 \nL 302.788226 184.474103 \nL 303.397562 181.87804 \nL 304.006899 181.072086 \nL 304.616235 181.184596 \nL 305.225572 178.430034 \nL 305.834909 177.959236 \nL 306.444245 178.327875 \nL 307.053582 180.227038 \nL 308.272255 188.330204 \nL 308.881592 194.774732 \nL 309.490928 187.526928 \nL 310.100265 184.228737 \nL 310.709602 182.426654 \nL 311.318938 179.421927 \nL 311.928275 177.697724 \nL 312.537611 180.031919 \nL 313.146948 183.034297 \nL 313.756285 179.573381 \nL 314.365621 179.650742 \nL 314.974958 180.704379 \nL 315.584294 183.899004 \nL 316.193631 184.940619 \nL 316.802968 185.212332 \nL 317.412304 187.69405 \nL 318.021641 193.793535 \nL 318.630977 193.422499 \nL 319.240314 193.605808 \nL 319.849651 184.94478 \nL 320.458987 182.344848 \nL 321.068324 177.745795 \nL 321.67766 178.594036 \nL 322.286997 181.563263 \nL 322.896334 180.936935 \nL 323.50567 183.553649 \nL 324.115007 188.71509 \nL 324.724344 181.461572 \nL 325.33368 180.718418 \nL 325.943017 181.459218 \nL 326.552353 181.616773 \nL 327.16169 184.237438 \nL 327.771027 198.209836 \nL 328.9897 182.687934 \nL 329.599036 181.943866 \nL 330.208373 182.299024 \nL 330.81771 180.397592 \nL 331.427046 184.401252 \nL 332.036383 191.425118 \nL 332.645719 184.665553 \nL 333.255056 183.325258 \nL 334.473729 182.846816 \nL 335.083066 183.595699 \nL 335.692402 190.112933 \nL 336.301739 204.825573 \nL 336.911076 208.653496 \nL 337.520412 187.287308 \nL 338.129749 186.382768 \nL 338.739086 186.372402 \nL 339.348422 183.745981 \nL 339.957759 184.772037 \nL 340.567095 186.136449 \nL 341.176432 184.489152 \nL 341.785769 184.123773 \nL 342.395105 186.364595 \nL 343.004442 189.715193 \nL 343.613778 193.853109 \nL 344.223115 193.579446 \nL 345.441788 189.622084 \nL 346.051125 190.307849 \nL 346.660461 194.378638 \nL 347.269798 189.793149 \nL 347.879135 189.871019 \nL 348.488471 189.203982 \nL 349.097808 189.397928 \nL 349.707145 181.454566 \nL 350.925818 178.490489 \nL 351.535154 180.152926 \nL 352.144491 180.164113 \nL 352.753828 181.557686 \nL 353.363164 182.303963 \nL 353.972501 218.905723 \nL 354.581837 229.874489 \nL 354.581837 229.874489 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.9;\"/>\n   </g>\n   <g id=\"line2d_14\">\n    <path clip-path=\"url(#p92c77f1c32)\" d=\"M 50.522869 117.0053 \nL 54.483557 116.884989 \nL 58.139577 116.558651 \nL 61.795597 116.020755 \nL 65.451616 115.263138 \nL 69.107636 114.27382 \nL 72.458987 113.149381 \nL 75.810339 111.799559 \nL 79.16169 110.202456 \nL 82.208373 108.512169 \nL 85.255056 106.566471 \nL 87.997071 104.567628 \nL 90.739086 102.299309 \nL 93.4811 99.71744 \nL 95.918447 97.112034 \nL 98.355793 94.156874 \nL 100.488471 91.224865 \nL 102.621149 87.896328 \nL 104.449159 84.653177 \nL 106.277169 80.956769 \nL 107.800511 77.438384 \nL 109.323852 73.40728 \nL 110.847194 68.703371 \nL 112.065867 64.297236 \nL 113.28454 59.132623 \nL 114.503213 53.005143 \nL 116.94056 39.515164 \nL 117.245228 38.589236 \nL 117.549896 38.125932 \nL 117.854565 38.153503 \nL 118.159233 38.631204 \nL 118.76857 40.546789 \nL 121.205916 50.033981 \nL 122.119921 52.631553 \nL 123.033926 54.666277 \nL 123.947931 56.213157 \nL 124.861936 57.331762 \nL 125.775941 58.062614 \nL 126.689945 58.428774 \nL 127.299282 58.474491 \nL 127.908619 58.360083 \nL 128.517955 58.080923 \nL 129.127292 57.629153 \nL 130.041297 56.60195 \nL 130.955302 55.10518 \nL 131.869307 53.065174 \nL 132.783312 50.405026 \nL 134.001985 45.944245 \nL 134.91599 42.674713 \nL 135.220658 41.954192 \nL 135.525326 41.602085 \nL 135.829995 41.71415 \nL 136.134663 42.330629 \nL 136.744 44.888308 \nL 137.962673 52.450623 \nL 139.486014 61.595434 \nL 140.704688 67.747726 \nL 142.228029 74.24022 \nL 143.751371 79.754494 \nL 145.57938 85.446996 \nL 147.40739 90.400918 \nL 149.540068 95.488985 \nL 151.672746 100.009184 \nL 154.110093 104.637511 \nL 156.547439 108.811743 \nL 159.289454 113.072957 \nL 162.336137 117.369903 \nL 165.38282 121.289462 \nL 168.734172 125.240274 \nL 172.390191 129.189996 \nL 176.046211 132.822729 \nL 180.006899 136.453959 \nL 184.272255 140.061056 \nL 188.84228 143.625061 \nL 193.716973 147.129945 \nL 198.896334 150.561987 \nL 204.075695 153.7304 \nL 209.559724 156.831406 \nL 215.348422 159.852777 \nL 221.441788 162.783334 \nL 227.839823 165.612678 \nL 234.542525 168.330953 \nL 241.549896 170.928639 \nL 248.861936 173.396371 \nL 256.478643 175.724772 \nL 264.400019 177.904296 \nL 272.321395 179.854448 \nL 280.547439 181.652432 \nL 289.078152 183.286736 \nL 297.608864 184.698774 \nL 306.444245 185.937672 \nL 315.584294 186.98937 \nL 324.724344 187.815017 \nL 333.864393 188.42058 \nL 343.30911 188.819634 \nL 352.753828 188.991178 \nL 354.886506 188.998588 \nL 354.886506 188.998588 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:0.9;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 35.304688 239.758125 \nL 35.304688 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 370.104688 239.758125 \nL 370.104688 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 35.304688 239.758125 \nL 370.104688 239.758125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 35.304688 22.318125 \nL 370.104688 22.318125 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_12\">\n    <!-- Using nitime's normalization method on unnorm_power -->\n    <g transform=\"translate(36.09125 16.318125)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 8.6875 72.90625 \nL 18.609375 72.90625 \nL 18.609375 28.609375 \nQ 18.609375 16.890625 22.84375 11.734375 \nQ 27.09375 6.59375 36.625 6.59375 \nQ 46.09375 6.59375 50.34375 11.734375 \nQ 54.59375 16.890625 54.59375 28.609375 \nL 54.59375 72.90625 \nL 64.5 72.90625 \nL 64.5 27.390625 \nQ 64.5 13.140625 57.4375 5.859375 \nQ 50.390625 -1.421875 36.625 -1.421875 \nQ 22.796875 -1.421875 15.734375 5.859375 \nQ 8.6875 13.140625 8.6875 27.390625 \nz\n\" id=\"DejaVuSans-85\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 45.40625 27.984375 \nQ 45.40625 37.75 41.375 43.109375 \nQ 37.359375 48.484375 30.078125 48.484375 \nQ 22.859375 48.484375 18.828125 43.109375 \nQ 14.796875 37.75 14.796875 27.984375 \nQ 14.796875 18.265625 18.828125 12.890625 \nQ 22.859375 7.515625 30.078125 7.515625 \nQ 37.359375 7.515625 41.375 12.890625 \nQ 45.40625 18.265625 45.40625 27.984375 \nz\nM 54.390625 6.78125 \nQ 54.390625 -7.171875 48.1875 -13.984375 \nQ 42 -20.796875 29.203125 -20.796875 \nQ 24.46875 -20.796875 20.265625 -20.09375 \nQ 16.0625 -19.390625 12.109375 -17.921875 \nL 12.109375 -9.1875 \nQ 16.0625 -11.328125 19.921875 -12.34375 \nQ 23.78125 -13.375 27.78125 -13.375 \nQ 36.625 -13.375 41.015625 -8.765625 \nQ 45.40625 -4.15625 45.40625 5.171875 \nL 45.40625 9.625 \nQ 42.625 4.78125 38.28125 2.390625 \nQ 33.9375 0 27.875 0 \nQ 17.828125 0 11.671875 7.65625 \nQ 5.515625 15.328125 5.515625 27.984375 \nQ 5.515625 40.671875 11.671875 48.328125 \nQ 17.828125 56 27.875 56 \nQ 33.9375 56 38.28125 53.609375 \nQ 42.625 51.21875 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nz\n\" id=\"DejaVuSans-103\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 17.921875 72.90625 \nL 17.921875 45.796875 \nL 9.625 45.796875 \nL 9.625 72.90625 \nz\n\" id=\"DejaVuSans-39\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n      <path d=\"M 5.515625 54.6875 \nL 48.1875 54.6875 \nL 48.1875 46.484375 \nL 14.40625 7.171875 \nL 48.1875 7.171875 \nL 48.1875 0 \nL 4.296875 0 \nL 4.296875 8.203125 \nL 38.09375 47.515625 \nL 5.515625 47.515625 \nz\n\" id=\"DejaVuSans-122\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n      <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n      <path d=\"M 50.984375 -16.609375 \nL 50.984375 -23.578125 \nL -0.984375 -23.578125 \nL -0.984375 -16.609375 \nz\n\" id=\"DejaVuSans-95\"/>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 4.203125 54.6875 \nL 13.1875 54.6875 \nL 24.421875 12.015625 \nL 35.59375 54.6875 \nL 46.1875 54.6875 \nL 57.421875 12.015625 \nL 68.609375 54.6875 \nL 77.59375 54.6875 \nL 63.28125 0 \nL 52.6875 0 \nL 40.921875 44.828125 \nL 29.109375 0 \nL 18.5 0 \nz\n\" id=\"DejaVuSans-119\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-85\"/>\n     <use x=\"73.193359\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"125.292969\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"153.076172\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"216.455078\" xlink:href=\"#DejaVuSans-103\"/>\n     <use x=\"279.931641\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"311.71875\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"375.097656\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"402.880859\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"442.089844\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"469.873047\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"567.285156\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"628.808594\" xlink:href=\"#DejaVuSans-39\"/>\n     <use x=\"656.298828\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"708.398438\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"740.185547\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"803.564453\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"864.746094\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"904.109375\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"1001.521484\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"1062.800781\" xlink:href=\"#DejaVuSans-108\"/>\n     <use x=\"1090.583984\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"1118.367188\" xlink:href=\"#DejaVuSans-122\"/>\n     <use x=\"1170.857422\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"1232.136719\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1271.345703\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"1299.128906\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1360.310547\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"1423.689453\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1455.476562\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"1552.888672\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"1614.412109\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1653.621094\" xlink:href=\"#DejaVuSans-104\"/>\n     <use x=\"1717\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1778.181641\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"1841.658203\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1873.445312\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1934.626953\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"1998.005859\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"2029.792969\" xlink:href=\"#DejaVuSans-117\"/>\n     <use x=\"2093.171875\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"2156.550781\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"2219.929688\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"2281.111328\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"2320.474609\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"2417.886719\" xlink:href=\"#DejaVuSans-95\"/>\n     <use x=\"2467.886719\" xlink:href=\"#DejaVuSans-112\"/>\n     <use x=\"2531.363281\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"2592.544922\" xlink:href=\"#DejaVuSans-119\"/>\n     <use x=\"2674.332031\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"2735.855469\" xlink:href=\"#DejaVuSans-114\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 42.304688 234.758125 \nL 274.167188 234.758125 \nQ 276.167188 234.758125 276.167188 232.758125 \nL 276.167188 189.72375 \nQ 276.167188 187.72375 274.167188 187.72375 \nL 42.304688 187.72375 \nQ 40.304688 187.72375 40.304688 189.72375 \nL 40.304688 232.758125 \nQ 40.304688 234.758125 42.304688 234.758125 \nz\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n    </g>\n    <g id=\"line2d_15\">\n     <path d=\"M 44.304688 195.822188 \nL 64.304688 195.822188 \n\" style=\"fill:none;stroke:#7b68ee;stroke-linecap:square;stroke-width:0.9;\"/>\n    </g>\n    <g id=\"line2d_16\"/>\n    <g id=\"text_13\">\n     <!-- Classical periodogram (Stingray) -->\n     <g transform=\"translate(72.304688 199.322188)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 64.40625 67.28125 \nL 64.40625 56.890625 \nQ 59.421875 61.53125 53.78125 63.8125 \nQ 48.140625 66.109375 41.796875 66.109375 \nQ 29.296875 66.109375 22.65625 58.46875 \nQ 16.015625 50.828125 16.015625 36.375 \nQ 16.015625 21.96875 22.65625 14.328125 \nQ 29.296875 6.6875 41.796875 6.6875 \nQ 48.140625 6.6875 53.78125 8.984375 \nQ 59.421875 11.28125 64.40625 15.921875 \nL 64.40625 5.609375 \nQ 59.234375 2.09375 53.4375 0.328125 \nQ 47.65625 -1.421875 41.21875 -1.421875 \nQ 24.65625 -1.421875 15.125 8.703125 \nQ 5.609375 18.84375 5.609375 36.375 \nQ 5.609375 53.953125 15.125 64.078125 \nQ 24.65625 74.21875 41.21875 74.21875 \nQ 47.75 74.21875 53.53125 72.484375 \nQ 59.328125 70.75 64.40625 67.28125 \nz\n\" id=\"DejaVuSans-67\"/>\n       <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n       <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n       <path d=\"M 53.515625 70.515625 \nL 53.515625 60.890625 \nQ 47.90625 63.578125 42.921875 64.890625 \nQ 37.9375 66.21875 33.296875 66.21875 \nQ 25.25 66.21875 20.875 63.09375 \nQ 16.5 59.96875 16.5 54.203125 \nQ 16.5 49.359375 19.40625 46.890625 \nQ 22.3125 44.4375 30.421875 42.921875 \nL 36.375 41.703125 \nQ 47.40625 39.59375 52.65625 34.296875 \nQ 57.90625 29 57.90625 20.125 \nQ 57.90625 9.515625 50.796875 4.046875 \nQ 43.703125 -1.421875 29.984375 -1.421875 \nQ 24.8125 -1.421875 18.96875 -0.25 \nQ 13.140625 0.921875 6.890625 3.21875 \nL 6.890625 13.375 \nQ 12.890625 10.015625 18.65625 8.296875 \nQ 24.421875 6.59375 29.984375 6.59375 \nQ 38.421875 6.59375 43.015625 9.90625 \nQ 47.609375 13.234375 47.609375 19.390625 \nQ 47.609375 24.75 44.3125 27.78125 \nQ 41.015625 30.8125 33.5 32.328125 \nL 27.484375 33.5 \nQ 16.453125 35.6875 11.515625 40.375 \nQ 6.59375 45.0625 6.59375 53.421875 \nQ 6.59375 63.09375 13.40625 68.65625 \nQ 20.21875 74.21875 32.171875 74.21875 \nQ 37.3125 74.21875 42.625 73.28125 \nQ 47.953125 72.359375 53.515625 70.515625 \nz\n\" id=\"DejaVuSans-83\"/>\n       <path d=\"M 32.171875 -5.078125 \nQ 28.375 -14.84375 24.75 -17.8125 \nQ 21.140625 -20.796875 15.09375 -20.796875 \nL 7.90625 -20.796875 \nL 7.90625 -13.28125 \nL 13.1875 -13.28125 \nQ 16.890625 -13.28125 18.9375 -11.515625 \nQ 21 -9.765625 23.484375 -3.21875 \nL 25.09375 0.875 \nL 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 11.921875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nz\n\" id=\"DejaVuSans-121\"/>\n       <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-67\"/>\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"97.607422\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"158.886719\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"210.986328\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"263.085938\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"290.869141\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"345.849609\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"407.128906\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"434.912109\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"466.699219\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"530.175781\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"591.699219\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"632.8125\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"660.595703\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"721.777344\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"785.253906\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"846.435547\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"909.912109\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"951.025391\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1012.304688\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"1109.716797\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1141.503906\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"1180.517578\" xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"1243.994141\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1283.203125\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"1310.986328\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"1374.365234\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"1437.841797\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"1478.955078\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1540.234375\" xlink:href=\"#DejaVuSans-121\"/>\n      <use x=\"1599.414062\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n    <g id=\"line2d_17\">\n     <path d=\"M 44.304688 210.500313 \nL 64.304688 210.500313 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.9;\"/>\n    </g>\n    <g id=\"line2d_18\"/>\n    <g id=\"text_14\">\n     <!-- Multitaper Spectral Estimator (Stingray) -->\n     <g transform=\"translate(72.304688 214.000313)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 9.8125 72.90625 \nL 24.515625 72.90625 \nL 43.109375 23.296875 \nL 61.8125 72.90625 \nL 76.515625 72.90625 \nL 76.515625 0 \nL 66.890625 0 \nL 66.890625 64.015625 \nL 48.09375 14.015625 \nL 38.1875 14.015625 \nL 19.390625 64.015625 \nL 19.390625 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-77\"/>\n       <path d=\"M 9.8125 72.90625 \nL 55.90625 72.90625 \nL 55.90625 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.015625 \nL 54.390625 43.015625 \nL 54.390625 34.71875 \nL 19.671875 34.71875 \nL 19.671875 8.296875 \nL 56.78125 8.296875 \nL 56.78125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-69\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-77\"/>\n      <use x=\"86.279297\" xlink:href=\"#DejaVuSans-117\"/>\n      <use x=\"149.658203\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"177.441406\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"216.650391\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"244.433594\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"283.642578\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"344.921875\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"408.398438\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"469.921875\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"511.035156\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"542.822266\" xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"606.298828\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"669.775391\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"731.298828\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"786.279297\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"825.488281\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"866.601562\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"927.880859\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"955.664062\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"987.451172\" xlink:href=\"#DejaVuSans-69\"/>\n      <use x=\"1050.634766\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"1102.734375\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1141.943359\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"1169.726562\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"1267.138672\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1328.417969\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1367.626953\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"1428.808594\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"1469.921875\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1501.708984\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"1540.722656\" xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"1604.199219\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1643.408203\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"1671.191406\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"1734.570312\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"1798.046875\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"1839.160156\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1900.439453\" xlink:href=\"#DejaVuSans-121\"/>\n      <use x=\"1959.619141\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n    <g id=\"line2d_19\">\n     <path d=\"M 44.304688 225.178438 \nL 64.304688 225.178438 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:0.9;\"/>\n    </g>\n    <g id=\"line2d_20\"/>\n    <g id=\"text_15\">\n     <!-- Analytic form of AR(4) -->\n     <g transform=\"translate(72.304688 228.678438)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 34.1875 63.1875 \nL 20.796875 26.90625 \nL 47.609375 26.90625 \nz\nM 28.609375 72.90625 \nL 39.796875 72.90625 \nL 67.578125 0 \nL 57.328125 0 \nL 50.6875 18.703125 \nL 17.828125 18.703125 \nL 11.1875 0 \nL 0.78125 0 \nz\n\" id=\"DejaVuSans-65\"/>\n       <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n       <path d=\"M 44.390625 34.1875 \nQ 47.5625 33.109375 50.5625 29.59375 \nQ 53.5625 26.078125 56.59375 19.921875 \nL 66.609375 0 \nL 56 0 \nL 46.6875 18.703125 \nQ 43.0625 26.03125 39.671875 28.421875 \nQ 36.28125 30.8125 30.421875 30.8125 \nL 19.671875 30.8125 \nL 19.671875 0 \nL 9.8125 0 \nL 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.578125 72.90625 50.734375 67.671875 \nQ 56.890625 62.453125 56.890625 51.90625 \nQ 56.890625 45.015625 53.6875 40.46875 \nQ 50.484375 35.9375 44.390625 34.1875 \nz\nM 19.671875 64.796875 \nL 19.671875 38.921875 \nL 32.078125 38.921875 \nQ 39.203125 38.921875 42.84375 42.21875 \nQ 46.484375 45.515625 46.484375 51.90625 \nQ 46.484375 58.296875 42.84375 61.546875 \nQ 39.203125 64.796875 32.078125 64.796875 \nz\n\" id=\"DejaVuSans-82\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-65\"/>\n      <use x=\"68.408203\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"131.787109\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"193.066406\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"220.849609\" xlink:href=\"#DejaVuSans-121\"/>\n      <use x=\"280.029297\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"319.238281\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"347.021484\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"402.001953\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"433.789062\" xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"468.994141\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"530.175781\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"569.539062\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"666.951172\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"698.738281\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"759.919922\" xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"795.125\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"826.912109\" xlink:href=\"#DejaVuSans-65\"/>\n      <use x=\"895.320312\" xlink:href=\"#DejaVuSans-82\"/>\n      <use x=\"964.802734\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"1003.816406\" xlink:href=\"#DejaVuSans-52\"/>\n      <use x=\"1067.439453\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p92c77f1c32\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"35.304688\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "Fs = 1\n",
    "custom_norm_ps = ps.unnorm_power / (Fs * data.shape[-1])    # Normalizing as per nitime gives a better fit\n",
    "custom_norm_mtp = mtp.unnorm_power / (Fs * data.shape[-1])  # Than using Stingray's 'abs' norm\n",
    "\n",
    "ps_dB = 10 * np.log10(custom_norm_ps)\n",
    "mtp_dB = 10 * np.log10(custom_norm_mtp)\n",
    "\n",
    "fig = plt.figure()\n",
    "plt.title(\"Using nitime's normalization method on unnorm_power\")\n",
    "plt.plot(ps.freq, ps_dB, label='Classical periodogram (Stingray)', color='mediumslateblue', linewidth=.9)\n",
    "plt.plot(mtp.freq, mtp_dB, label='Multitaper Spectral Estimator (Stingray)', color='black', linewidth=.9)\n",
    "plt.plot(freq, psd, label='Analytic form of AR(4)', color='red', linewidth=.9)\n",
    "leg = plt.legend()\n",
    "plt.savefig(\"nitime_norm.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}