development/development-smesolver-new-methods.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Test for different SME solvers against analytical solution for oscillator squeezing\n",
    "\n",
    "Manuel Grimm, Niels Lörch, and Denis V. Vasilyev\n",
    "\n",
    "30 August 2016\n",
    "\n",
    "Updated by Eric Giguere\n",
    "March 2018\n",
    "\n",
    "We solve the stochastic master equation for an oscillator coupled to a 1D field as discussed in [1]. There is a deterministic differential equation for the variances of the oscillator quadratures $\\langle\\delta X^2\\rangle$ and $\\langle\\delta P^2\\rangle$. This allows for a direct comparison between the numerical solution and the exact solution for a single quantum trajectory. In particular, we study scaling of deviations from analytical solution as a function of stepsize for different solvers:\n",
    "'euler-maruyama', 'pc-euler', 'milstein', 'milstein-imp', 'taylor15', 'taylor15-imp'.\n",
    "\n",
    "It is important to check the correct scaling since it is very easy to implement a higher order method in a wrong way such that it still works but as a lower order method.\n",
    "\n",
    "In this section we solve SME with a single Wiener increment: \n",
    "### $\\mathrm{d}\\rho = D[s]\\rho\\mathrm{d}t + H[s]\\rho \\mathrm{d}W + \\gamma D[a]\\rho\\mathrm{d}t$\n",
    "\n",
    "The steady state solution for the variance $V_{\\mathrm{c}} = \\langle X^2\\rangle - \\langle X\\rangle^2$ reads\n",
    "\n",
    "$V_{\\mathrm{c}} = \\frac1{4\\alpha^{2}}\\left[\\alpha\\beta - \\gamma + \\sqrt{(\\gamma-\\alpha\\beta )^{2} + 4\\gamma \\alpha^2}\\right]$\n",
    "\n",
    "where $\\alpha$ and $\\beta$ are parametrizing the interaction between light and the oscillator such that the jump operator is given by $s = \\frac{\\alpha+\\beta}2 a + \\frac{\\alpha-\\beta}2 a^{\\dagger}$\n",
    "\n",
    "[1] D. V. Vasilyev, C. a. Muschik, and K. Hammerer, Physical Review A 87, 053820 (2013). <a href=\"http://arxiv.org/abs/1303.5888\">arXiv:1303.5888</a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%config InlineBackend.figure_formats = ['svg']\n",
    "\n",
    "from qutip import *\n",
    "from qutip.ui.progressbar import BaseProgressBar\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.integrate import odeint\n",
    "y_sse = None\n",
    "import time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Just check that analytical solution coincides with the solution of ODE for the variance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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=\"277.314375pt\" version=\"1.1\" viewBox=\"0 0 388.120313 277.314375\" width=\"388.120313pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 277.314375 \n",
       "L 388.120313 277.314375 \n",
       "L 388.120313 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 42.620313 121.154489 \n",
       "L 377.420313 121.154489 \n",
       "L 377.420313 22.318125 \n",
       "L 42.620313 22.318125 \n",
       "z\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 \n",
       "L 0 3.5 \n",
       "\" id=\"ma80824e752\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"57.838494\" xlink:href=\"#ma80824e752\" y=\"121.154489\"/>\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=\"108.565767\" xlink:href=\"#ma80824e752\" y=\"121.154489\"/>\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=\"159.29304\" xlink:href=\"#ma80824e752\" y=\"121.154489\"/>\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=\"210.020313\" xlink:href=\"#ma80824e752\" y=\"121.154489\"/>\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=\"260.747585\" xlink:href=\"#ma80824e752\" y=\"121.154489\"/>\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=\"311.474858\" xlink:href=\"#ma80824e752\" y=\"121.154489\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"362.202131\" xlink:href=\"#ma80824e752\" y=\"121.154489\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m07ddf85d12\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m07ddf85d12\" y=\"121.154489\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(19.717188 124.953707)scale(0.1 -0.1)\">\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=\"ytick_2\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m07ddf85d12\" y=\"81.619943\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 0.2 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(19.717188 85.419162)scale(0.1 -0.1)\">\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=\"ytick_3\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m07ddf85d12\" y=\"42.085398\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 0.4 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(19.717188 45.884616)scale(0.1 -0.1)\">\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>\n",
       "   <g id=\"line2d_11\">\n",
       "    <path clip-path=\"url(#p9f8bcf87a9)\" d=\"M 57.838494 22.318125 \n",
       "L 60.374858 26.420283 \n",
       "L 62.911222 29.986474 \n",
       "L 65.447585 33.097856 \n",
       "L 67.983949 35.820931 \n",
       "L 70.520313 38.2107 \n",
       "L 73.056676 40.312998 \n",
       "L 75.59304 42.166318 \n",
       "L 78.129403 43.803192 \n",
       "L 80.665767 45.251276 \n",
       "L 83.202131 46.534209 \n",
       "L 85.738494 47.672291 \n",
       "L 88.274858 48.683033 \n",
       "L 90.811222 49.581593 \n",
       "L 93.347585 50.381144 \n",
       "L 95.883949 51.093167 \n",
       "L 98.420313 51.727696 \n",
       "L 100.956676 52.293526 \n",
       "L 103.49304 52.798382 \n",
       "L 106.029403 53.249063 \n",
       "L 108.565767 53.651565 \n",
       "L 111.102131 54.011182 \n",
       "L 113.638494 54.332601 \n",
       "L 116.174858 54.619971 \n",
       "L 118.711222 54.876974 \n",
       "L 121.247585 55.106877 \n",
       "L 123.783949 55.312585 \n",
       "L 126.320313 55.496684 \n",
       "L 128.856676 55.661473 \n",
       "L 131.39304 55.809002 \n",
       "L 133.929403 55.941099 \n",
       "L 136.465767 56.059393 \n",
       "L 139.002131 56.16534 \n",
       "L 141.538494 56.260238 \n",
       "L 144.074858 56.345247 \n",
       "L 146.611222 56.421405 \n",
       "L 149.147585 56.489638 \n",
       "L 151.683949 56.550776 \n",
       "L 154.220313 56.605558 \n",
       "L 156.756676 56.65465 \n",
       "L 159.29304 56.698643 \n",
       "L 161.829403 56.73807 \n",
       "L 164.365767 56.773405 \n",
       "L 166.902131 56.805075 \n",
       "L 169.438494 56.83346 \n",
       "L 171.974858 56.858902 \n",
       "L 174.511222 56.881707 \n",
       "L 177.047585 56.902148 \n",
       "L 179.583949 56.920471 \n",
       "L 182.120313 56.936895 \n",
       "L 184.656676 56.951618 \n",
       "L 187.19304 56.964816 \n",
       "L 189.729403 56.976648 \n",
       "L 192.265767 56.987254 \n",
       "L 194.802131 56.996761 \n",
       "L 197.338494 57.005285 \n",
       "L 199.874858 57.012926 \n",
       "L 202.411222 57.019776 \n",
       "L 204.947585 57.025916 \n",
       "L 207.483949 57.031422 \n",
       "L 210.020313 57.036357 \n",
       "L 212.556676 57.040782 \n",
       "L 215.09304 57.044748 \n",
       "L 217.629403 57.048304 \n",
       "L 220.165767 57.051492 \n",
       "L 222.702131 57.05435 \n",
       "L 225.238494 57.056912 \n",
       "L 227.774858 57.05921 \n",
       "L 230.311222 57.061269 \n",
       "L 232.847585 57.063115 \n",
       "L 235.383949 57.064771 \n",
       "L 237.920313 57.066255 \n",
       "L 240.456676 57.067585 \n",
       "L 242.99304 57.068778 \n",
       "L 245.529403 57.069847 \n",
       "L 248.065767 57.070806 \n",
       "L 250.602131 57.071665 \n",
       "L 253.138494 57.072436 \n",
       "L 255.674858 57.073127 \n",
       "L 258.211222 57.073746 \n",
       "L 260.747585 57.074302 \n",
       "L 263.283949 57.0748 \n",
       "L 265.820313 57.075246 \n",
       "L 268.356676 57.075646 \n",
       "L 270.89304 57.076005 \n",
       "L 273.429403 57.076327 \n",
       "L 275.965767 57.076615 \n",
       "L 278.502131 57.076873 \n",
       "L 281.038494 57.077105 \n",
       "L 283.574858 57.077313 \n",
       "L 286.111222 57.077499 \n",
       "L 288.647585 57.077666 \n",
       "L 291.183949 57.077816 \n",
       "L 293.720313 57.07795 \n",
       "L 296.256676 57.078071 \n",
       "L 298.79304 57.078178 \n",
       "L 301.329403 57.078275 \n",
       "L 303.865767 57.078362 \n",
       "L 306.402131 57.07844 \n",
       "L 308.938494 57.078509 \n",
       "L 311.474858 57.078572 \n",
       "L 314.011222 57.078628 \n",
       "L 316.547585 57.078678 \n",
       "L 319.083949 57.078724 \n",
       "L 321.620313 57.078764 \n",
       "L 324.156676 57.0788 \n",
       "L 326.69304 57.078832 \n",
       "L 329.229403 57.078861 \n",
       "L 331.765767 57.078887 \n",
       "L 334.302131 57.078911 \n",
       "L 336.838494 57.078932 \n",
       "L 339.374858 57.07895 \n",
       "L 341.911222 57.078967 \n",
       "L 344.447585 57.078982 \n",
       "L 346.983949 57.078996 \n",
       "L 349.520313 57.079008 \n",
       "L 352.056676 57.079019 \n",
       "L 354.59304 57.079029 \n",
       "L 357.129403 57.079037 \n",
       "L 359.665767 57.079045 \n",
       "L 362.202131 57.079052 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_12\">\n",
       "    <path clip-path=\"url(#p9f8bcf87a9)\" d=\"M 57.838494 57.079113 \n",
       "L 60.374858 57.079113 \n",
       "L 62.911222 57.079113 \n",
       "L 65.447585 57.079113 \n",
       "L 67.983949 57.079113 \n",
       "L 70.520313 57.079113 \n",
       "L 73.056676 57.079113 \n",
       "L 75.59304 57.079113 \n",
       "L 78.129403 57.079113 \n",
       "L 80.665767 57.079113 \n",
       "L 83.202131 57.079113 \n",
       "L 85.738494 57.079113 \n",
       "L 88.274858 57.079113 \n",
       "L 90.811222 57.079113 \n",
       "L 93.347585 57.079113 \n",
       "L 95.883949 57.079113 \n",
       "L 98.420313 57.079113 \n",
       "L 100.956676 57.079113 \n",
       "L 103.49304 57.079113 \n",
       "L 106.029403 57.079113 \n",
       "L 108.565767 57.079113 \n",
       "L 111.102131 57.079113 \n",
       "L 113.638494 57.079113 \n",
       "L 116.174858 57.079113 \n",
       "L 118.711222 57.079113 \n",
       "L 121.247585 57.079113 \n",
       "L 123.783949 57.079113 \n",
       "L 126.320313 57.079113 \n",
       "L 128.856676 57.079113 \n",
       "L 131.39304 57.079113 \n",
       "L 133.929403 57.079113 \n",
       "L 136.465767 57.079113 \n",
       "L 139.002131 57.079113 \n",
       "L 141.538494 57.079113 \n",
       "L 144.074858 57.079113 \n",
       "L 146.611222 57.079113 \n",
       "L 149.147585 57.079113 \n",
       "L 151.683949 57.079113 \n",
       "L 154.220313 57.079113 \n",
       "L 156.756676 57.079113 \n",
       "L 159.29304 57.079113 \n",
       "L 161.829403 57.079113 \n",
       "L 164.365767 57.079113 \n",
       "L 166.902131 57.079113 \n",
       "L 169.438494 57.079113 \n",
       "L 171.974858 57.079113 \n",
       "L 174.511222 57.079113 \n",
       "L 177.047585 57.079113 \n",
       "L 179.583949 57.079113 \n",
       "L 182.120313 57.079113 \n",
       "L 184.656676 57.079113 \n",
       "L 187.19304 57.079113 \n",
       "L 189.729403 57.079113 \n",
       "L 192.265767 57.079113 \n",
       "L 194.802131 57.079113 \n",
       "L 197.338494 57.079113 \n",
       "L 199.874858 57.079113 \n",
       "L 202.411222 57.079113 \n",
       "L 204.947585 57.079113 \n",
       "L 207.483949 57.079113 \n",
       "L 210.020313 57.079113 \n",
       "L 212.556676 57.079113 \n",
       "L 215.09304 57.079113 \n",
       "L 217.629403 57.079113 \n",
       "L 220.165767 57.079113 \n",
       "L 222.702131 57.079113 \n",
       "L 225.238494 57.079113 \n",
       "L 227.774858 57.079113 \n",
       "L 230.311222 57.079113 \n",
       "L 232.847585 57.079113 \n",
       "L 235.383949 57.079113 \n",
       "L 237.920313 57.079113 \n",
       "L 240.456676 57.079113 \n",
       "L 242.99304 57.079113 \n",
       "L 245.529403 57.079113 \n",
       "L 248.065767 57.079113 \n",
       "L 250.602131 57.079113 \n",
       "L 253.138494 57.079113 \n",
       "L 255.674858 57.079113 \n",
       "L 258.211222 57.079113 \n",
       "L 260.747585 57.079113 \n",
       "L 263.283949 57.079113 \n",
       "L 265.820313 57.079113 \n",
       "L 268.356676 57.079113 \n",
       "L 270.89304 57.079113 \n",
       "L 273.429403 57.079113 \n",
       "L 275.965767 57.079113 \n",
       "L 278.502131 57.079113 \n",
       "L 281.038494 57.079113 \n",
       "L 283.574858 57.079113 \n",
       "L 286.111222 57.079113 \n",
       "L 288.647585 57.079113 \n",
       "L 291.183949 57.079113 \n",
       "L 293.720313 57.079113 \n",
       "L 296.256676 57.079113 \n",
       "L 298.79304 57.079113 \n",
       "L 301.329403 57.079113 \n",
       "L 303.865767 57.079113 \n",
       "L 306.402131 57.079113 \n",
       "L 308.938494 57.079113 \n",
       "L 311.474858 57.079113 \n",
       "L 314.011222 57.079113 \n",
       "L 316.547585 57.079113 \n",
       "L 319.083949 57.079113 \n",
       "L 321.620313 57.079113 \n",
       "L 324.156676 57.079113 \n",
       "L 326.69304 57.079113 \n",
       "L 329.229403 57.079113 \n",
       "L 331.765767 57.079113 \n",
       "L 334.302131 57.079113 \n",
       "L 336.838494 57.079113 \n",
       "L 339.374858 57.079113 \n",
       "L 341.911222 57.079113 \n",
       "L 344.447585 57.079113 \n",
       "L 346.983949 57.079113 \n",
       "L 349.520313 57.079113 \n",
       "L 352.056676 57.079113 \n",
       "L 354.59304 57.079113 \n",
       "L 357.129403 57.079113 \n",
       "L 359.665767 57.079113 \n",
       "L 362.202131 57.079113 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_13\">\n",
       "    <path clip-path=\"url(#p9f8bcf87a9)\" d=\"M 57.838494 22.318125 \n",
       "L 60.374858 26.420288 \n",
       "L 62.911222 29.986477 \n",
       "L 65.447585 33.097857 \n",
       "L 67.983949 35.820935 \n",
       "L 70.520313 38.210704 \n",
       "L 73.056676 40.313002 \n",
       "L 75.59304 42.166322 \n",
       "L 78.129403 43.803194 \n",
       "L 80.665767 45.251277 \n",
       "L 83.202131 46.53421 \n",
       "L 85.738494 47.672292 \n",
       "L 88.274858 48.683033 \n",
       "L 90.811222 49.581593 \n",
       "L 93.347585 50.381144 \n",
       "L 95.883949 51.093166 \n",
       "L 98.420313 51.727695 \n",
       "L 100.956676 52.293525 \n",
       "L 103.49304 52.798381 \n",
       "L 106.029403 53.249062 \n",
       "L 108.565767 53.651563 \n",
       "L 111.102131 54.011181 \n",
       "L 113.638494 54.332599 \n",
       "L 116.174858 54.619969 \n",
       "L 118.711222 54.876972 \n",
       "L 121.247585 55.106875 \n",
       "L 123.783949 55.312584 \n",
       "L 126.320313 55.496682 \n",
       "L 128.856676 55.661471 \n",
       "L 131.39304 55.809001 \n",
       "L 133.929403 55.941098 \n",
       "L 136.465767 56.059392 \n",
       "L 139.002131 56.165338 \n",
       "L 141.538494 56.260236 \n",
       "L 144.074858 56.345246 \n",
       "L 146.611222 56.421404 \n",
       "L 149.147585 56.489637 \n",
       "L 151.683949 56.550774 \n",
       "L 154.220313 56.605557 \n",
       "L 156.756676 56.654649 \n",
       "L 159.29304 56.698642 \n",
       "L 161.829403 56.738069 \n",
       "L 164.365767 56.773404 \n",
       "L 166.902131 56.805074 \n",
       "L 169.438494 56.833459 \n",
       "L 171.974858 56.858901 \n",
       "L 174.511222 56.881706 \n",
       "L 177.047585 56.902147 \n",
       "L 179.583949 56.92047 \n",
       "L 182.120313 56.936894 \n",
       "L 184.656676 56.951618 \n",
       "L 187.19304 56.964816 \n",
       "L 189.729403 56.976647 \n",
       "L 192.265767 56.987253 \n",
       "L 194.802131 56.996761 \n",
       "L 197.338494 57.005284 \n",
       "L 199.874858 57.012925 \n",
       "L 202.411222 57.019775 \n",
       "L 204.947585 57.025916 \n",
       "L 207.483949 57.031421 \n",
       "L 210.020313 57.036357 \n",
       "L 212.556676 57.040781 \n",
       "L 215.09304 57.044748 \n",
       "L 217.629403 57.048304 \n",
       "L 220.165767 57.051492 \n",
       "L 222.702131 57.05435 \n",
       "L 225.238494 57.056913 \n",
       "L 227.774858 57.05921 \n",
       "L 230.311222 57.061269 \n",
       "L 232.847585 57.063116 \n",
       "L 235.383949 57.064771 \n",
       "L 237.920313 57.066255 \n",
       "L 240.456676 57.067585 \n",
       "L 242.99304 57.068778 \n",
       "L 245.529403 57.069848 \n",
       "L 248.065767 57.070806 \n",
       "L 250.602131 57.071666 \n",
       "L 253.138494 57.072436 \n",
       "L 255.674858 57.073127 \n",
       "L 258.211222 57.073747 \n",
       "L 260.747585 57.074302 \n",
       "L 263.283949 57.0748 \n",
       "L 265.820313 57.075246 \n",
       "L 268.356676 57.075646 \n",
       "L 270.89304 57.076005 \n",
       "L 273.429403 57.076327 \n",
       "L 275.965767 57.076615 \n",
       "L 278.502131 57.076873 \n",
       "L 281.038494 57.077105 \n",
       "L 283.574858 57.077313 \n",
       "L 286.111222 57.077499 \n",
       "L 288.647585 57.077666 \n",
       "L 291.183949 57.077816 \n",
       "L 293.720313 57.07795 \n",
       "L 296.256676 57.078071 \n",
       "L 298.79304 57.078178 \n",
       "L 301.329403 57.078275 \n",
       "L 303.865767 57.078362 \n",
       "L 306.402131 57.07844 \n",
       "L 308.938494 57.078509 \n",
       "L 311.474858 57.078572 \n",
       "L 314.011222 57.078628 \n",
       "L 316.547585 57.078678 \n",
       "L 319.083949 57.078723 \n",
       "L 321.620313 57.078764 \n",
       "L 324.156676 57.0788 \n",
       "L 326.69304 57.078832 \n",
       "L 329.229403 57.078861 \n",
       "L 331.765767 57.078887 \n",
       "L 334.302131 57.078911 \n",
       "L 336.838494 57.078932 \n",
       "L 339.374858 57.078951 \n",
       "L 341.911222 57.078967 \n",
       "L 344.447585 57.078982 \n",
       "L 346.983949 57.078996 \n",
       "L 349.520313 57.079008 \n",
       "L 352.056676 57.079019 \n",
       "L 354.59304 57.079029 \n",
       "L 357.129403 57.079038 \n",
       "L 359.665767 57.079045 \n",
       "L 362.202131 57.079052 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 42.620313 121.154489 \n",
       "L 42.620313 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 377.420313 121.154489 \n",
       "L 377.420313 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 42.620313 121.154489 \n",
       "L 377.420313 121.154489 \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 42.620313 22.318125 \n",
       "L 377.420313 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_4\">\n",
       "    <!-- Variance as a function of time -->\n",
       "    <defs>\n",
       "     <path d=\"M 28.609375 0 \n",
       "L 0.78125 72.90625 \n",
       "L 11.078125 72.90625 \n",
       "L 34.1875 11.53125 \n",
       "L 57.328125 72.90625 \n",
       "L 67.578125 72.90625 \n",
       "L 39.796875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-86\"/>\n",
       "     <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "     <path d=\"M 41.109375 46.296875 \n",
       "Q 39.59375 47.171875 37.8125 47.578125 \n",
       "Q 36.03125 48 33.890625 48 \n",
       "Q 26.265625 48 22.1875 43.046875 \n",
       "Q 18.109375 38.09375 18.109375 28.8125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 20.953125 51.171875 25.484375 53.578125 \n",
       "Q 30.03125 56 36.53125 56 \n",
       "Q 37.453125 56 38.578125 55.875 \n",
       "Q 39.703125 55.765625 41.0625 55.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-114\"/>\n",
       "     <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "     <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "     <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "     <path d=\"M 56.203125 29.59375 \n",
       "L 56.203125 25.203125 \n",
       "L 14.890625 25.203125 \n",
       "Q 15.484375 15.921875 20.484375 11.0625 \n",
       "Q 25.484375 6.203125 34.421875 6.203125 \n",
       "Q 39.59375 6.203125 44.453125 7.46875 \n",
       "Q 49.3125 8.734375 54.109375 11.28125 \n",
       "L 54.109375 2.78125 \n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \n",
       "Q 5.515625 13.8125 5.515625 26.8125 \n",
       "Q 5.515625 40.234375 12.765625 48.109375 \n",
       "Q 20.015625 56 32.328125 56 \n",
       "Q 43.359375 56 49.78125 48.890625 \n",
       "Q 56.203125 41.796875 56.203125 29.59375 \n",
       "z\n",
       "M 47.21875 32.234375 \n",
       "Q 47.125 39.59375 43.09375 43.984375 \n",
       "Q 39.0625 48.390625 32.421875 48.390625 \n",
       "Q 24.90625 48.390625 20.390625 44.140625 \n",
       "Q 15.875 39.890625 15.1875 32.171875 \n",
       "z\n",
       "\" id=\"DejaVuSans-101\"/>\n",
       "     <path id=\"DejaVuSans-32\"/>\n",
       "     <path d=\"M 44.28125 53.078125 \n",
       "L 44.28125 44.578125 \n",
       "Q 40.484375 46.53125 36.375 47.5 \n",
       "Q 32.28125 48.484375 27.875 48.484375 \n",
       "Q 21.1875 48.484375 17.84375 46.4375 \n",
       "Q 14.5 44.390625 14.5 40.28125 \n",
       "Q 14.5 37.15625 16.890625 35.375 \n",
       "Q 19.28125 33.59375 26.515625 31.984375 \n",
       "L 29.59375 31.296875 \n",
       "Q 39.15625 29.25 43.1875 25.515625 \n",
       "Q 47.21875 21.78125 47.21875 15.09375 \n",
       "Q 47.21875 7.46875 41.1875 3.015625 \n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \n",
       "Q 10.6875 0.296875 5.421875 2 \n",
       "L 5.421875 11.28125 \n",
       "Q 10.40625 8.6875 15.234375 7.390625 \n",
       "Q 20.0625 6.109375 24.8125 6.109375 \n",
       "Q 31.15625 6.109375 34.5625 8.28125 \n",
       "Q 37.984375 10.453125 37.984375 14.40625 \n",
       "Q 37.984375 18.0625 35.515625 20.015625 \n",
       "Q 33.0625 21.96875 24.703125 23.78125 \n",
       "L 21.578125 24.515625 \n",
       "Q 13.234375 26.265625 9.515625 29.90625 \n",
       "Q 5.8125 33.546875 5.8125 39.890625 \n",
       "Q 5.8125 47.609375 11.28125 51.796875 \n",
       "Q 16.75 56 26.8125 56 \n",
       "Q 31.78125 56 36.171875 55.265625 \n",
       "Q 40.578125 54.546875 44.28125 53.078125 \n",
       "z\n",
       "\" id=\"DejaVuSans-115\"/>\n",
       "     <path d=\"M 37.109375 75.984375 \n",
       "L 37.109375 68.5 \n",
       "L 28.515625 68.5 \n",
       "Q 23.6875 68.5 21.796875 66.546875 \n",
       "Q 19.921875 64.59375 19.921875 59.515625 \n",
       "L 19.921875 54.6875 \n",
       "L 34.71875 54.6875 \n",
       "L 34.71875 47.703125 \n",
       "L 19.921875 47.703125 \n",
       "L 19.921875 0 \n",
       "L 10.890625 0 \n",
       "L 10.890625 47.703125 \n",
       "L 2.296875 47.703125 \n",
       "L 2.296875 54.6875 \n",
       "L 10.890625 54.6875 \n",
       "L 10.890625 58.5 \n",
       "Q 10.890625 67.625 15.140625 71.796875 \n",
       "Q 19.390625 75.984375 28.609375 75.984375 \n",
       "z\n",
       "\" id=\"DejaVuSans-102\"/>\n",
       "     <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "     <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "     <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "     <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "    </defs>\n",
       "    <g transform=\"translate(119.780313 16.318125)scale(0.12 -0.12)\">\n",
       "     <use xlink:href=\"#DejaVuSans-86\"/>\n",
       "     <use x=\"68.298828\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"129.578125\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "     <use x=\"170.691406\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"198.474609\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"259.753906\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"323.132812\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"378.113281\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "     <use x=\"439.636719\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"471.423828\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"532.703125\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "     <use x=\"584.802734\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"616.589844\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"677.869141\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"709.65625\" xlink:href=\"#DejaVuSans-102\"/>\n",
       "     <use x=\"744.861328\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "     <use x=\"808.240234\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"871.619141\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"926.599609\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"965.808594\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"993.591797\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"1054.773438\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"1118.152344\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"1149.939453\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"1211.121094\" xlink:href=\"#DejaVuSans-102\"/>\n",
       "     <use x=\"1246.326172\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"1278.113281\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"1317.322266\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"1345.105469\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "     <use x=\"1442.517578\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 42.620313 239.758125 \n",
       "L 377.420313 239.758125 \n",
       "L 377.420313 140.921761 \n",
       "L 42.620313 140.921761 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"57.838494\" xlink:href=\"#ma80824e752\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(54.657244 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"108.565767\" xlink:href=\"#ma80824e752\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 1 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(105.384517 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"159.29304\" xlink:href=\"#ma80824e752\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 2 -->\n",
       "      <g transform=\"translate(156.11179 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"210.020313\" xlink:href=\"#ma80824e752\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 3 -->\n",
       "      <defs>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(206.839063 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"260.747585\" xlink:href=\"#ma80824e752\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 4 -->\n",
       "      <g transform=\"translate(257.566335 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"311.474858\" xlink:href=\"#ma80824e752\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(308.293608 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_14\">\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"362.202131\" xlink:href=\"#ma80824e752\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 6 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(359.020881 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_12\">\n",
       "     <!-- t -->\n",
       "     <g transform=\"translate(208.060156 268.034687)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m07ddf85d12\" y=\"216.38844\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- −2 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-8722\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(20.878125 220.187659)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m07ddf85d12\" y=\"167.532821\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(29.257813 171.33204)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_15\">\n",
       "     <!-- $\\epsilon$ -->\n",
       "     <defs>\n",
       "      <path d=\"M 19.734375 29.5 \n",
       "Q 14.453125 30.671875 12.15625 33.84375 \n",
       "Q 10.453125 36.078125 10.453125 39.109375 \n",
       "Q 10.453125 47.40625 18.359375 52.25 \n",
       "Q 24.609375 56.0625 34.1875 56.0625 \n",
       "Q 37.890625 56.0625 41.9375 55.46875 \n",
       "Q 46 54.890625 50.53125 53.71875 \n",
       "L 48.96875 45.5625 \n",
       "Q 44.484375 46.96875 40.71875 47.609375 \n",
       "Q 36.859375 48.25 33.40625 48.25 \n",
       "Q 27.59375 48.25 23.78125 46 \n",
       "Q 19.1875 43.3125 19.1875 39.40625 \n",
       "Q 19.1875 36.8125 21.578125 35.015625 \n",
       "Q 24.421875 32.859375 30.078125 32.859375 \n",
       "L 37.640625 32.859375 \n",
       "L 36.234375 25.4375 \n",
       "L 29 25.4375 \n",
       "Q 22.265625 25.4375 18.3125 22.953125 \n",
       "Q 12.9375 19.578125 12.9375 14.3125 \n",
       "Q 12.9375 10.984375 15.828125 8.796875 \n",
       "Q 19.4375 6.0625 26.8125 6.0625 \n",
       "Q 31.34375 6.0625 35.6875 6.9375 \n",
       "Q 40.046875 7.859375 43.84375 9.671875 \n",
       "L 42.1875 1.3125 \n",
       "Q 37.546875 -0.046875 33.296875 -0.734375 \n",
       "Q 29.046875 -1.421875 25.140625 -1.421875 \n",
       "Q 13.53125 -1.421875 8.0625 3.03125 \n",
       "Q 3.90625 6.453125 3.90625 12.203125 \n",
       "Q 3.90625 19.96875 9.375 24.75 \n",
       "Q 13.421875 28.328125 19.734375 29.5 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-949\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(14.798438 193.089943)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <use transform=\"translate(0 0.9375)\" xlink:href=\"#DejaVuSans-Oblique-949\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- 1e−8 -->\n",
       "     <defs>\n",
       "      <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(42.620313 137.921761)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"125.146484\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "      <use x=\"208.935547\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <path clip-path=\"url(#p75465ffe64)\" d=\"M 57.838494 167.532821 \n",
       "L 60.374858 235.265563 \n",
       "L 62.911222 204.283475 \n",
       "L 65.447585 175.999609 \n",
       "L 67.983949 216.844268 \n",
       "L 70.520313 217.943452 \n",
       "L 73.056676 217.997738 \n",
       "L 75.59304 215.632099 \n",
       "L 78.129403 193.510598 \n",
       "L 80.665767 187.517398 \n",
       "L 83.202131 183.733682 \n",
       "L 85.738494 180.897094 \n",
       "L 88.274858 174.267324 \n",
       "L 90.811222 165.777747 \n",
       "L 93.347585 160.405373 \n",
       "L 95.883949 156.618177 \n",
       "L 98.420313 153.917657 \n",
       "L 100.956676 152.976501 \n",
       "L 103.49304 152.791893 \n",
       "L 106.029403 152.997779 \n",
       "L 108.565767 151.950721 \n",
       "L 111.102131 146.255378 \n",
       "L 113.638494 145.414323 \n",
       "L 116.174858 146.369223 \n",
       "L 118.711222 146.04507 \n",
       "L 121.247585 146.011775 \n",
       "L 123.783949 147.516903 \n",
       "L 126.320313 148.524857 \n",
       "L 128.856676 149.108511 \n",
       "L 131.39304 150.525749 \n",
       "L 133.929403 151.340251 \n",
       "L 136.465767 147.37769 \n",
       "L 139.002131 146.943436 \n",
       "L 141.538494 146.471527 \n",
       "L 144.074858 148.46018 \n",
       "L 146.611222 148.506324 \n",
       "L 149.147585 150.189138 \n",
       "L 151.683949 149.965122 \n",
       "L 154.220313 151.815408 \n",
       "L 156.756676 152.516008 \n",
       "L 159.29304 154.028586 \n",
       "L 161.829403 154.391868 \n",
       "L 164.365767 155.616033 \n",
       "L 166.902131 156.215797 \n",
       "L 169.438494 156.251281 \n",
       "L 171.974858 154.542194 \n",
       "L 174.511222 155.870655 \n",
       "L 177.047585 156.208593 \n",
       "L 179.583949 157.686715 \n",
       "L 182.120313 158.324116 \n",
       "L 184.656676 158.982926 \n",
       "L 187.19304 159.572104 \n",
       "L 189.729403 159.682083 \n",
       "L 192.265767 160.757793 \n",
       "L 194.802131 161.206991 \n",
       "L 197.338494 162.034212 \n",
       "L 199.874858 162.204008 \n",
       "L 202.411222 162.571043 \n",
       "L 204.947585 163.008745 \n",
       "L 207.483949 163.336277 \n",
       "L 210.020313 163.217094 \n",
       "L 212.556676 162.424403 \n",
       "L 215.09304 163.169626 \n",
       "L 217.629403 164.935232 \n",
       "L 220.165767 166.454371 \n",
       "L 222.702131 167.668714 \n",
       "L 225.238494 169.601338 \n",
       "L 227.774858 169.540075 \n",
       "L 230.311222 169.660181 \n",
       "L 232.847585 169.811107 \n",
       "L 235.383949 169.335125 \n",
       "L 237.920313 169.787959 \n",
       "L 240.456676 169.531466 \n",
       "L 242.99304 169.515342 \n",
       "L 245.529403 169.692592 \n",
       "L 248.065767 169.649907 \n",
       "L 250.602131 171.101821 \n",
       "L 253.138494 172.531542 \n",
       "L 255.674858 171.549145 \n",
       "L 258.211222 170.971694 \n",
       "L 260.747585 170.716542 \n",
       "L 263.283949 169.405598 \n",
       "L 265.820313 168.493499 \n",
       "L 268.356676 168.322872 \n",
       "L 270.89304 167.83324 \n",
       "L 273.429403 167.547272 \n",
       "L 275.965767 167.879297 \n",
       "L 278.502131 167.863291 \n",
       "L 281.038494 167.376198 \n",
       "L 283.574858 167.220531 \n",
       "L 286.111222 167.085401 \n",
       "L 288.647585 166.452685 \n",
       "L 291.183949 166.673721 \n",
       "L 293.720313 166.804056 \n",
       "L 296.256676 166.783208 \n",
       "L 298.79304 167.221063 \n",
       "L 301.329403 167.797261 \n",
       "L 303.865767 167.969791 \n",
       "L 306.402131 167.299176 \n",
       "L 308.938494 165.879548 \n",
       "L 311.474858 164.067204 \n",
       "L 314.011222 162.702635 \n",
       "L 316.547585 162.779167 \n",
       "L 319.083949 162.894395 \n",
       "L 321.620313 162.890506 \n",
       "L 324.156676 163.253134 \n",
       "L 326.69304 164.620061 \n",
       "L 329.229403 165.947188 \n",
       "L 331.765767 166.897172 \n",
       "L 334.302131 167.59111 \n",
       "L 336.838494 164.831423 \n",
       "L 339.374858 167.685629 \n",
       "L 341.911222 168.459851 \n",
       "L 344.447585 168.430783 \n",
       "L 346.983949 168.562614 \n",
       "L 349.520313 168.825453 \n",
       "L 352.056676 169.240441 \n",
       "L 354.59304 169.831859 \n",
       "L 357.129403 170.457773 \n",
       "L 359.665767 170.870221 \n",
       "L 362.202131 171.425464 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 42.620313 239.758125 \n",
       "L 42.620313 140.921761 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 377.420313 239.758125 \n",
       "L 377.420313 140.921761 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 42.620313 239.758125 \n",
       "L 377.420313 239.758125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 42.620313 140.921761 \n",
       "L 377.420313 140.921761 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_17\">\n",
       "    <!-- Deviation of odeint from analytic solution -->\n",
       "    <defs>\n",
       "     <path d=\"M 19.671875 64.796875 \n",
       "L 19.671875 8.109375 \n",
       "L 31.59375 8.109375 \n",
       "Q 46.6875 8.109375 53.6875 14.9375 \n",
       "Q 60.6875 21.78125 60.6875 36.53125 \n",
       "Q 60.6875 51.171875 53.6875 57.984375 \n",
       "Q 46.6875 64.796875 31.59375 64.796875 \n",
       "z\n",
       "M 9.8125 72.90625 \n",
       "L 30.078125 72.90625 \n",
       "Q 51.265625 72.90625 61.171875 64.09375 \n",
       "Q 71.09375 55.28125 71.09375 36.53125 \n",
       "Q 71.09375 17.671875 61.125 8.828125 \n",
       "Q 51.171875 0 30.078125 0 \n",
       "L 9.8125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-68\"/>\n",
       "     <path d=\"M 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 8.796875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "L 35.6875 0 \n",
       "L 23.484375 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-118\"/>\n",
       "     <path d=\"M 45.40625 46.390625 \n",
       "L 45.40625 75.984375 \n",
       "L 54.390625 75.984375 \n",
       "L 54.390625 0 \n",
       "L 45.40625 0 \n",
       "L 45.40625 8.203125 \n",
       "Q 42.578125 3.328125 38.25 0.953125 \n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \n",
       "Q 5.515625 14.40625 5.515625 27.296875 \n",
       "Q 5.515625 40.1875 11.734375 48.09375 \n",
       "Q 17.96875 56 27.875 56 \n",
       "Q 33.9375 56 38.25 53.625 \n",
       "Q 42.578125 51.265625 45.40625 46.390625 \n",
       "z\n",
       "M 14.796875 27.296875 \n",
       "Q 14.796875 17.390625 18.875 11.75 \n",
       "Q 22.953125 6.109375 30.078125 6.109375 \n",
       "Q 37.203125 6.109375 41.296875 11.75 \n",
       "Q 45.40625 17.390625 45.40625 27.296875 \n",
       "Q 45.40625 37.203125 41.296875 42.84375 \n",
       "Q 37.203125 48.484375 30.078125 48.484375 \n",
       "Q 22.953125 48.484375 18.875 42.84375 \n",
       "Q 14.796875 37.203125 14.796875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-100\"/>\n",
       "     <path d=\"M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-108\"/>\n",
       "     <path d=\"M 32.171875 -5.078125 \n",
       "Q 28.375 -14.84375 24.75 -17.8125 \n",
       "Q 21.140625 -20.796875 15.09375 -20.796875 \n",
       "L 7.90625 -20.796875 \n",
       "L 7.90625 -13.28125 \n",
       "L 13.1875 -13.28125 \n",
       "Q 16.890625 -13.28125 18.9375 -11.515625 \n",
       "Q 21 -9.765625 23.484375 -3.21875 \n",
       "L 25.09375 0.875 \n",
       "L 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 11.921875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-121\"/>\n",
       "    </defs>\n",
       "    <g transform=\"translate(85.465 134.921761)scale(0.12 -0.12)\">\n",
       "     <use xlink:href=\"#DejaVuSans-68\"/>\n",
       "     <use x=\"77.001953\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "     <use x=\"138.525391\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "     <use x=\"197.705078\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"225.488281\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"286.767578\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"325.976562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"353.759766\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"414.941406\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"478.320312\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"510.107422\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"571.289062\" xlink:href=\"#DejaVuSans-102\"/>\n",
       "     <use x=\"606.494141\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"638.28125\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"699.462891\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "     <use x=\"762.939453\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "     <use x=\"824.462891\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"852.246094\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"915.625\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"954.833984\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"986.621094\" xlink:href=\"#DejaVuSans-102\"/>\n",
       "     <use x=\"1021.826172\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "     <use x=\"1062.908203\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"1124.089844\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "     <use x=\"1221.501953\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"1253.289062\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"1314.568359\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"1377.947266\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"1439.226562\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "     <use x=\"1467.009766\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     <use x=\"1526.189453\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"1565.398438\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"1593.181641\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"1648.162109\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"1679.949219\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "     <use x=\"1732.048828\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"1793.230469\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "     <use x=\"1821.013672\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "     <use x=\"1884.392578\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"1923.601562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"1951.384766\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"2012.566406\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p9f8bcf87a9\">\n",
       "   <rect height=\"98.836364\" width=\"334.8\" x=\"42.620313\" y=\"22.318125\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p75465ffe64\">\n",
       "   <rect height=\"98.836364\" width=\"334.8\" x=\"42.620313\" y=\"140.921761\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def arccoth(x):\n",
    "    return 0.5*np.log((1.+x)/(x-1.))\n",
    "\n",
    "############ parameters #############\n",
    "\n",
    "th = 0.1 # Interaction parameter\n",
    "alpha = np.cos(th)\n",
    "beta = np.sin(th)\n",
    "gamma = 1.\n",
    "def gammaf(t):\n",
    "    return 0.25+t/12+t*t/6\n",
    "\n",
    "def f_gamma(t,*args):\n",
    "    return (0.25+t/12+t*t/6)**(0.5)\n",
    "\n",
    "################# Solution of the differential equation for the variance Vc ####################\n",
    "T = 6.\n",
    "N_store = int(20*T+1)\n",
    "tlist = np.linspace(0,T,N_store)\n",
    "y0 = 0.5\n",
    "def func(y, t):\n",
    "    return -(gammaf(t) - alpha*beta)*y - 2*alpha*alpha*y*y + 0.5*gammaf(t)\n",
    "y_td = odeint(func, y0, tlist)\n",
    "y_td = y_td.ravel()\n",
    "\n",
    "def func(y, t):\n",
    "    return -(gamma - alpha*beta)*y - 2*alpha*alpha*y*y + 0.5*gamma\n",
    "y = odeint(func, y0, tlist)\n",
    "\n",
    "############ Exact steady state solution for Vc #########################\n",
    "Vc = (alpha*beta - gamma + np.sqrt((gamma-alpha*beta)**2 + 4*gamma*alpha**2))/(4*alpha**2)\n",
    "\n",
    "#### Analytic solution\n",
    "A = (gamma**2 + alpha**2 * (beta**2 + 4*gamma) - 2*alpha*beta*gamma)**0.5\n",
    "B = arccoth((-4*alpha**2*y0 + alpha*beta - gamma)/A)\n",
    "y_an = (alpha*beta - gamma + A / np.tanh(0.5*A*tlist - B))/(4*alpha**2)\n",
    "\n",
    "f, (ax, ax2) = plt.subplots(2, 1, sharex=True)\n",
    "\n",
    "ax.set_title('Variance as a function of time')\n",
    "ax.plot(tlist,y)\n",
    "ax.plot(tlist,Vc*np.ones_like(tlist))\n",
    "ax.plot(tlist,y_an)\n",
    "ax.set_ylim(0,0.5)\n",
    "\n",
    "ax2.set_title('Deviation of odeint from analytic solution')\n",
    "ax2.set_xlabel('t')\n",
    "ax2.set_ylabel(r'$\\epsilon$')\n",
    "ax2.plot(tlist,y_an - y.T[0]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "####################### Model ###########################\n",
    "\n",
    "N = 30                 # number of Fock states\n",
    "Id = qeye(N)\n",
    "a = destroy(N)\n",
    "s = 0.5*((alpha+beta)*a + (alpha-beta)*a.dag())\n",
    "x = (a + a.dag())/np.sqrt(2)\n",
    "H = Id\n",
    "c_op = [np.sqrt(gamma)*a]\n",
    "c_op_td = [[a,f_gamma]]\n",
    "sc_op = [s]\n",
    "e_op = [x, x*x]\n",
    "rho0 = fock_dm(N,0)       # initial vacuum state\n",
    "#sc_len=1                 # one stochastic operator\n",
    "\n",
    "\n",
    "############## time steps and trajectories ###################\n",
    "\n",
    "ntraj = 1 #100           # number of trajectories\n",
    "T = 6.                   # final time          \n",
    "N_store = int(20*T+1)    # number of time steps for which we save the expectation values/density matrix\n",
    "tlist = np.linspace(0,T,N_store)\n",
    "ddt = (tlist[1]-tlist[0])\n",
    "\n",
    "Nsubs = (10*np.logspace(0,1,10)).astype(int)\n",
    "stepsizes = [ddt/j for j in Nsubs] # step size is doubled after each evaluation \n",
    "Nt = len(Nsubs)                    # number of step sizes that we compare\n",
    "Nsubmax = Nsubs[-1]                # Number of intervals for the smallest step size; \n",
    "dtmin = (tlist[1]-tlist[0])/(Nsubmax)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test of different SME solvers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting the figure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'solver': 'euler-maruyama'}\n",
      "Total run time:   0.05s\n",
      "Total run time:   0.07s\n",
      "Total run time:   0.11s\n",
      "Total run time:   0.11s\n",
      "Total run time:   0.16s\n",
      "Total run time:   0.19s\n",
      "Total run time:   0.27s\n",
      "Total run time:   0.36s\n",
      "Total run time:   0.42s\n",
      "Total run time:   0.55s\n",
      "{'solver': 'platen'}\n",
      "Total run time:   0.16s\n",
      "Total run time:   0.21s\n",
      "Total run time:   0.27s\n",
      "Total run time:   0.36s\n",
      "Total run time:   0.45s\n",
      "Total run time:   0.61s\n",
      "Total run time:   0.74s\n",
      "Total run time:   0.95s\n",
      "Total run time:   1.24s\n",
      "Total run time:   1.64s\n",
      "{'solver': 'pred-corr'}\n",
      "Total run time:   0.14s\n",
      "Total run time:   0.16s\n",
      "Total run time:   0.18s\n",
      "Total run time:   0.25s\n",
      "Total run time:   0.32s\n",
      "Total run time:   0.41s\n",
      "Total run time:   0.54s\n",
      "Total run time:   0.68s\n",
      "Total run time:   0.89s\n",
      "Total run time:   1.15s\n",
      "{'solver': 'milstein'}\n",
      "Total run time:   0.08s\n",
      "Total run time:   0.09s\n",
      "Total run time:   0.17s\n",
      "Total run time:   0.16s\n",
      "Total run time:   0.22s\n",
      "Total run time:   0.28s\n",
      "Total run time:   0.37s\n",
      "Total run time:   0.48s\n",
      "Total run time:   0.62s\n",
      "Total run time:   0.79s\n",
      "{'solver': 'milstein-imp'}\n",
      "Total run time:   0.60s\n",
      "Total run time:   0.70s\n",
      "Total run time:   0.91s\n",
      "Total run time:   1.12s\n",
      "Total run time:   1.43s\n",
      "Total run time:   1.88s\n",
      "Total run time:   2.46s\n",
      "Total run time:   3.15s\n",
      "Total run time:   4.09s\n",
      "Total run time:   5.30s\n",
      "{'solver': 'pred-corr-2'}\n",
      "Total run time:   0.17s\n",
      "Total run time:   0.23s\n",
      "Total run time:   0.29s\n",
      "Total run time:   0.37s\n",
      "Total run time:   0.51s\n",
      "Total run time:   0.62s\n",
      "Total run time:   0.81s\n",
      "Total run time:   1.03s\n",
      "Total run time:   1.34s\n",
      "Total run time:   1.78s\n",
      "{'solver': 'explicit1.5'}\n",
      "Total run time:   0.37s\n",
      "Total run time:   0.43s\n",
      "Total run time:   0.66s\n",
      "Total run time:   0.73s\n",
      "Total run time:   0.93s\n",
      "Total run time:   1.30s\n",
      "Total run time:   1.57s\n",
      "Total run time:   2.01s\n",
      "Total run time:   2.66s\n",
      "Total run time:   3.40s\n",
      "{'solver': 'taylor1.5'}\n",
      "Total run time:   0.29s\n",
      "Total run time:   0.34s\n",
      "Total run time:   0.47s\n",
      "Total run time:   0.59s\n",
      "Total run time:   0.75s\n",
      "Total run time:   0.97s\n",
      "Total run time:   1.28s\n",
      "Total run time:   1.66s\n",
      "Total run time:   2.20s\n",
      "Total run time:   2.79s\n",
      "{'solver': 'taylor1.5-imp', 'args': {'tol': 1e-08}}\n",
      "Total run time:   0.83s\n",
      "Total run time:   1.02s\n",
      "Total run time:   1.31s\n",
      "Total run time:   1.70s\n",
      "Total run time:   2.03s\n",
      "Total run time:   2.48s\n",
      "Total run time:   3.22s\n",
      "Total run time:   4.10s\n",
      "Total run time:   5.28s\n",
      "Total run time:   6.94s\n",
      "{'solver': 'taylor2.0'}\n",
      "Total run time:   0.40s\n",
      "Total run time:   0.48s\n",
      "Total run time:   0.61s\n",
      "Total run time:   0.83s\n",
      "Total run time:   1.03s\n",
      "Total run time:   1.32s\n",
      "Total run time:   1.75s\n",
      "Total run time:   2.22s\n",
      "Total run time:   2.93s\n",
      "Total run time:   3.74s\n",
      "{'solver': 'taylor2.0', 'noiseDepth': 500}\n",
      "Total run time:   1.98s\n",
      "Total run time:   2.34s\n",
      "Total run time:   3.13s\n",
      "Total run time:   4.09s\n",
      "Total run time:   5.33s\n",
      "Total run time:   6.81s\n",
      "Total run time:   8.93s\n",
      "Total run time:  11.43s\n",
      "Total run time:  15.03s\n",
      "Total run time:  19.46s\n"
     ]
    }
   ],
   "source": [
    "ntraj = 1\n",
    "\n",
    "def run_cte_cte(**kwargs):\n",
    "    epsilon = np.zeros(Nt)\n",
    "    std = np.zeros(Nt)\n",
    "    print(kwargs)\n",
    "    for j in range(0,ntraj):\n",
    "        for jj in range(0,Nt):\n",
    "            Nsub = Nsubs[jj]\n",
    "            sol = smesolve(H, rho0, tlist, c_op, sc_op, e_op, nsubsteps=Nsub, **kwargs)\n",
    "            epsilon_j = 1/T * np.sum(np.abs(y_an - (sol.expect[1]-sol.expect[0]*sol.expect[0].conj())))*ddt\n",
    "            epsilon[jj] += epsilon_j\n",
    "            std[jj] += epsilon_j\n",
    "    epsilon/= ntraj\n",
    "    std = np.sqrt(1/ntraj * (1/ntraj * std - epsilon**2))\n",
    "    return epsilon\n",
    "\n",
    "def get_stats_cte_cte(**kw):\n",
    "    start = time.time()\n",
    "    y = run_cte_cte(**kw)\n",
    "    tag = str(kw[\"solver\"])\n",
    "    x = np.log(stepsizes)\n",
    "    ly = np.log(y)\n",
    "    fit = np.polyfit(x, ly, 1)[0]\n",
    "    return y,tag,fit,time.time()-start\n",
    "\n",
    "stats_cte_cte = []\n",
    "stats_cte_cte.append(get_stats_cte_cte(solver='euler-maruyama'))\n",
    "\n",
    "stats_cte_cte.append(get_stats_cte_cte(solver='platen'))\n",
    "stats_cte_cte.append(get_stats_cte_cte(solver='pred-corr'))\n",
    "stats_cte_cte.append(get_stats_cte_cte(solver='milstein'))\n",
    "stats_cte_cte.append(get_stats_cte_cte(solver='milstein-imp'))\n",
    "stats_cte_cte.append(get_stats_cte_cte(solver='pred-corr-2'))\n",
    "\n",
    "stats_cte_cte.append(get_stats_cte_cte(solver='explicit1.5'))\n",
    "stats_cte_cte.append(get_stats_cte_cte(solver=\"taylor1.5\"))\n",
    "stats_cte_cte.append(get_stats_cte_cte(solver=\"taylor1.5-imp\", args={\"tol\":1e-8}))\n",
    "\n",
    "stats_cte_cte.append(get_stats_cte_cte(solver=\"taylor2.0\"))\n",
    "stats_cte_cte.append(get_stats_cte_cte(solver=\"taylor2.0\", noiseDepth=500))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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=\"304.14285pt\" version=\"1.1\" viewBox=\"0 0 670.401875 304.14285\" width=\"670.401875pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 304.14285 \n",
       "L 670.401875 304.14285 \n",
       "L 670.401875 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 37.7 280.264725 \n",
       "L 372.5 280.264725 \n",
       "L 372.5 62.824725 \n",
       "L 37.7 62.824725 \n",
       "z\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 \n",
       "L 0 3.5 \n",
       "\" id=\"m45af2a2861\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"144.540766\" xlink:href=\"#m45af2a2861\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathdefault{10^{-3}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-8722\"/>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(132.790766 294.863163)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 2 \n",
       "\" id=\"m371b3525f7\" style=\"stroke:#000000;stroke-width:0.6;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"52.918182\" xlink:href=\"#m371b3525f7\" y=\"280.264725\"/>\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:0.6;\" x=\"77.018074\" xlink:href=\"#m371b3525f7\" y=\"280.264725\"/>\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:0.6;\" x=\"97.394242\" xlink:href=\"#m371b3525f7\" y=\"280.264725\"/>\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:0.6;\" x=\"115.044882\" xlink:href=\"#m371b3525f7\" y=\"280.264725\"/>\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:0.6;\" x=\"130.61385\" xlink:href=\"#m371b3525f7\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"236.16335\" xlink:href=\"#m371b3525f7\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"289.759126\" xlink:href=\"#m371b3525f7\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"327.785934\" xlink:href=\"#m371b3525f7\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"357.281818\" xlink:href=\"#m371b3525f7\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"mfe8d893edc\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#mfe8d893edc\" y=\"259.039266\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathdefault{10^{-7}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 262.838484)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#mfe8d893edc\" y=\"221.362545\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathdefault{10^{-6}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 225.161763)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#mfe8d893edc\" y=\"183.685824\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathdefault{10^{-5}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 187.485043)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#mfe8d893edc\" y=\"146.009103\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathdefault{10^{-4}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 149.808322)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#mfe8d893edc\" y=\"108.332382\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathdefault{10^{-3}}$ -->\n",
       "      <g transform=\"translate(7.2 112.131601)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#mfe8d893edc\" y=\"70.655661\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathdefault{10^{-2}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 74.45488)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -2 0 \n",
       "\" id=\"m2745f3fb29\" style=\"stroke:#000000;stroke-width:0.6;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"278.739622\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"274.03234\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"270.381089\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"267.397799\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"264.875463\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"262.690517\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"260.763258\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"247.697442\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_15\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"241.062901\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_16\">\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"236.355619\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_17\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"232.704368\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_18\">\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"229.721078\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_19\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"227.198743\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_20\">\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"225.013796\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_21\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"223.086537\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_22\">\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"210.020722\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_23\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"203.38618\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_24\">\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"198.678898\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_25\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"195.027647\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_26\">\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"192.044357\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_27\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"189.522022\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_28\">\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"187.337075\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_29\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"185.409816\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_30\">\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"172.344001\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_31\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"165.709459\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_32\">\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"161.002178\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_33\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"157.350926\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_34\">\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"154.367636\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_35\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"151.845301\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_36\">\n",
       "     <g id=\"line2d_46\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"149.660354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_37\">\n",
       "     <g id=\"line2d_47\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"147.733095\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_38\">\n",
       "     <g id=\"line2d_48\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"134.66728\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_39\">\n",
       "     <g id=\"line2d_49\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"128.032739\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_40\">\n",
       "     <g id=\"line2d_50\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"123.325457\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_41\">\n",
       "     <g id=\"line2d_51\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"119.674205\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_42\">\n",
       "     <g id=\"line2d_52\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"116.690916\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_43\">\n",
       "     <g id=\"line2d_53\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"114.16858\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_44\">\n",
       "     <g id=\"line2d_54\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"111.983634\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_45\">\n",
       "     <g id=\"line2d_55\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"110.056374\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_46\">\n",
       "     <g id=\"line2d_56\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"96.990559\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_47\">\n",
       "     <g id=\"line2d_57\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"90.356018\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_48\">\n",
       "     <g id=\"line2d_58\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"85.648736\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_49\">\n",
       "     <g id=\"line2d_59\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"81.997484\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_50\">\n",
       "     <g id=\"line2d_60\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"79.014195\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_51\">\n",
       "     <g id=\"line2d_61\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"76.491859\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_52\">\n",
       "     <g id=\"line2d_62\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"74.306913\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_53\">\n",
       "     <g id=\"line2d_63\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m2745f3fb29\" y=\"72.379653\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_64\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"md59df75ed5\" style=\"stroke:#1f77b4;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfb0a52a147)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"357.281818\" xlink:href=\"#md59df75ed5\" y=\"72.708361\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"333.181926\" xlink:href=\"#md59df75ed5\" y=\"83.757877\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"295.155118\" xlink:href=\"#md59df75ed5\" y=\"81.433468\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"259.209982\" xlink:href=\"#md59df75ed5\" y=\"88.841034\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"225.990374\" xlink:href=\"#md59df75ed5\" y=\"88.06789\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"191.68729\" xlink:href=\"#md59df75ed5\" y=\"88.893076\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"155.562435\" xlink:href=\"#md59df75ed5\" y=\"92.704502\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"122.662497\" xlink:href=\"#md59df75ed5\" y=\"89.011555\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"87.466277\" xlink:href=\"#md59df75ed5\" y=\"97.429127\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"52.918182\" xlink:href=\"#md59df75ed5\" y=\"95.364384\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_65\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -0.673542 -0.927051 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.089814 0.354102 \n",
       "L -1.763356 2.427051 \n",
       "L -0 1.145898 \n",
       "L 1.763356 2.427051 \n",
       "L 1.089814 0.354102 \n",
       "L 2.85317 -0.927051 \n",
       "L 0.673542 -0.927051 \n",
       "z\n",
       "\" id=\"ma06a303a32\" style=\"stroke:#ff7f0e;stroke-linejoin:bevel;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfb0a52a147)\">\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"357.281818\" xlink:href=\"#ma06a303a32\" y=\"139.112728\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"333.181926\" xlink:href=\"#ma06a303a32\" y=\"137.546307\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"295.155118\" xlink:href=\"#ma06a303a32\" y=\"149.435498\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"259.209982\" xlink:href=\"#ma06a303a32\" y=\"146.822142\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"225.990374\" xlink:href=\"#ma06a303a32\" y=\"153.330989\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"191.68729\" xlink:href=\"#ma06a303a32\" y=\"161.296587\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"155.562435\" xlink:href=\"#ma06a303a32\" y=\"165.750655\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"122.662497\" xlink:href=\"#ma06a303a32\" y=\"166.146052\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"87.466277\" xlink:href=\"#ma06a303a32\" y=\"171.168897\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"52.918182\" xlink:href=\"#ma06a303a32\" y=\"180.086169\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_66\">\n",
       "    <defs>\n",
       "     <path d=\"M -0 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"m9e126d0855\" style=\"stroke:#2ca02c;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfb0a52a147)\">\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m9e126d0855\" y=\"136.341409\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#m9e126d0855\" y=\"131.319702\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#m9e126d0855\" y=\"142.899143\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#m9e126d0855\" y=\"135.885327\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#m9e126d0855\" y=\"149.612318\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#m9e126d0855\" y=\"153.073097\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#m9e126d0855\" y=\"158.916528\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#m9e126d0855\" y=\"159.162022\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#m9e126d0855\" y=\"165.232482\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m9e126d0855\" y=\"170.05978\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_67\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"m7060a5d97b\" style=\"stroke:#d62728;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfb0a52a147)\">\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m7060a5d97b\" y=\"128.620086\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#m7060a5d97b\" y=\"126.326215\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#m7060a5d97b\" y=\"140.152329\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#m7060a5d97b\" y=\"139.395584\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#m7060a5d97b\" y=\"150.210356\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#m7060a5d97b\" y=\"137.143561\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#m7060a5d97b\" y=\"151.187161\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#m7060a5d97b\" y=\"154.665451\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#m7060a5d97b\" y=\"163.504222\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m7060a5d97b\" y=\"162.14759\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_68\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.763356 2.427051 \n",
       "L 1.763356 2.427051 \n",
       "L 2.85317 -0.927051 \n",
       "z\n",
       "\" id=\"m71e14d4b5b\" style=\"stroke:#9467bd;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfb0a52a147)\">\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m71e14d4b5b\" y=\"140.187824\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#m71e14d4b5b\" y=\"141.261516\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#m71e14d4b5b\" y=\"142.579227\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#m71e14d4b5b\" y=\"143.757938\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#m71e14d4b5b\" y=\"154.449727\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#m71e14d4b5b\" y=\"158.02276\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#m71e14d4b5b\" y=\"162.123594\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#m71e14d4b5b\" y=\"168.008851\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#m71e14d4b5b\" y=\"166.471481\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m71e14d4b5b\" y=\"174.694805\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_69\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 -3 \n",
       "M -3 -3 \n",
       "L 3 3 \n",
       "\" id=\"mbf9b547fba\" style=\"stroke:#8c564b;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfb0a52a147)\">\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"357.281818\" xlink:href=\"#mbf9b547fba\" y=\"134.430744\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"333.181926\" xlink:href=\"#mbf9b547fba\" y=\"123.137485\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"295.155118\" xlink:href=\"#mbf9b547fba\" y=\"125.841279\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"259.209982\" xlink:href=\"#mbf9b547fba\" y=\"132.092784\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"225.990374\" xlink:href=\"#mbf9b547fba\" y=\"145.090022\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"191.68729\" xlink:href=\"#mbf9b547fba\" y=\"143.740464\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"155.562435\" xlink:href=\"#mbf9b547fba\" y=\"151.265221\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"122.662497\" xlink:href=\"#mbf9b547fba\" y=\"149.58923\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"87.466277\" xlink:href=\"#mbf9b547fba\" y=\"156.231295\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"52.918182\" xlink:href=\"#mbf9b547fba\" y=\"159.958162\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_70\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 0 \n",
       "L 3 0 \n",
       "M 0 3 \n",
       "L 0 -3 \n",
       "\" id=\"m2f8889e9c6\" style=\"stroke:#e377c2;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfb0a52a147)\">\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"357.281818\" xlink:href=\"#m2f8889e9c6\" y=\"169.743748\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"333.181926\" xlink:href=\"#m2f8889e9c6\" y=\"171.129078\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"295.155118\" xlink:href=\"#m2f8889e9c6\" y=\"185.549422\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"259.209982\" xlink:href=\"#m2f8889e9c6\" y=\"192.538841\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"225.990374\" xlink:href=\"#m2f8889e9c6\" y=\"184.75083\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"191.68729\" xlink:href=\"#m2f8889e9c6\" y=\"199.006888\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"155.562435\" xlink:href=\"#m2f8889e9c6\" y=\"210.943635\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"122.662497\" xlink:href=\"#m2f8889e9c6\" y=\"211.964699\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"87.466277\" xlink:href=\"#m2f8889e9c6\" y=\"213.975071\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"52.918182\" xlink:href=\"#m2f8889e9c6\" y=\"220.877498\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_71\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -3 3 \n",
       "L 3 3 \n",
       "z\n",
       "\" id=\"m89b58c26f9\" style=\"stroke:#7f7f7f;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfb0a52a147)\">\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m89b58c26f9\" y=\"167.605474\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#m89b58c26f9\" y=\"174.762778\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#m89b58c26f9\" y=\"178.264478\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#m89b58c26f9\" y=\"182.109727\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#m89b58c26f9\" y=\"192.023314\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#m89b58c26f9\" y=\"196.160581\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#m89b58c26f9\" y=\"209.334414\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#m89b58c26f9\" y=\"211.610879\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#m89b58c26f9\" y=\"219.76262\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m89b58c26f9\" y=\"225.311375\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_72\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 -0 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "z\n",
       "\" id=\"m7e91e77df8\" style=\"stroke:#bcbd22;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfb0a52a147)\">\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m7e91e77df8\" y=\"177.403042\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#m7e91e77df8\" y=\"188.841559\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#m7e91e77df8\" y=\"196.911941\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#m7e91e77df8\" y=\"202.435876\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#m7e91e77df8\" y=\"202.887842\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#m7e91e77df8\" y=\"214.104791\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#m7e91e77df8\" y=\"217.155599\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#m7e91e77df8\" y=\"232.197314\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#m7e91e77df8\" y=\"220.926914\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m7e91e77df8\" y=\"240.395011\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_73\">\n",
       "    <defs>\n",
       "     <path d=\"M 3 0 \n",
       "L -3 -3 \n",
       "L -3 3 \n",
       "z\n",
       "\" id=\"md1e812f66e\" style=\"stroke:#17becf;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfb0a52a147)\">\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#md1e812f66e\" y=\"201.026366\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#md1e812f66e\" y=\"206.922821\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#md1e812f66e\" y=\"203.326363\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#md1e812f66e\" y=\"215.598408\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#md1e812f66e\" y=\"219.052911\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#md1e812f66e\" y=\"230.41548\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#md1e812f66e\" y=\"235.285928\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#md1e812f66e\" y=\"243.555993\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#md1e812f66e\" y=\"245.273049\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#md1e812f66e\" y=\"250.475094\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_74\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 0 \n",
       "L 0 3 \n",
       "M 0 0 \n",
       "L 2.4 -1.5 \n",
       "M 0 0 \n",
       "L -2.4 -1.5 \n",
       "\" id=\"mb8577075bd\" style=\"stroke:#1f77b4;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfb0a52a147)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"357.281818\" xlink:href=\"#mb8577075bd\" y=\"190.240377\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"333.181926\" xlink:href=\"#mb8577075bd\" y=\"198.55596\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"295.155118\" xlink:href=\"#mb8577075bd\" y=\"205.920387\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"259.209982\" xlink:href=\"#mb8577075bd\" y=\"214.363409\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"225.990374\" xlink:href=\"#mb8577075bd\" y=\"218.184244\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"191.68729\" xlink:href=\"#mb8577075bd\" y=\"224.734151\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"155.562435\" xlink:href=\"#mb8577075bd\" y=\"236.839163\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"122.662497\" xlink:href=\"#mb8577075bd\" y=\"238.945912\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"87.466277\" xlink:href=\"#mb8577075bd\" y=\"247.050603\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"52.918182\" xlink:href=\"#mb8577075bd\" y=\"250.30985\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_75\">\n",
       "    <path clip-path=\"url(#pfb0a52a147)\" d=\"M 357.281818 76.326573 \n",
       "L 333.181926 77.818218 \n",
       "L 295.155118 80.171859 \n",
       "L 259.209982 82.396656 \n",
       "L 225.990374 84.452759 \n",
       "L 191.68729 86.575923 \n",
       "L 155.562435 88.811844 \n",
       "L 122.662497 90.848161 \n",
       "L 87.466277 93.026605 \n",
       "L 52.918182 95.164933 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_76\">\n",
       "    <path clip-path=\"url(#pfb0a52a147)\" d=\"M 357.281818 119.674205 \n",
       "L 333.181926 122.657495 \n",
       "L 295.155118 127.364777 \n",
       "L 259.209982 131.814372 \n",
       "L 225.990374 135.926577 \n",
       "L 191.68729 140.172905 \n",
       "L 155.562435 144.644747 \n",
       "L 122.662497 148.717381 \n",
       "L 87.466277 153.074269 \n",
       "L 52.918182 157.350926 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_77\">\n",
       "    <path clip-path=\"url(#pfb0a52a147)\" d=\"M 357.281818 163.021838 \n",
       "L 333.181926 167.496772 \n",
       "L 295.155118 174.557695 \n",
       "L 259.209982 181.232087 \n",
       "L 225.990374 187.400396 \n",
       "L 191.68729 193.769887 \n",
       "L 155.562435 200.47765 \n",
       "L 122.662497 206.586602 \n",
       "L 87.466277 213.121933 \n",
       "L 52.918182 219.536919 \n",
       "\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_78\">\n",
       "    <path clip-path=\"url(#pfb0a52a147)\" d=\"M 357.281818 195.027647 \n",
       "L 333.181926 200.994226 \n",
       "L 295.155118 210.40879 \n",
       "L 259.209982 219.30798 \n",
       "L 225.990374 227.532391 \n",
       "L 191.68729 236.025047 \n",
       "L 155.562435 244.968731 \n",
       "L 122.662497 253.113999 \n",
       "L 87.466277 261.827774 \n",
       "L 52.918182 270.381089 \n",
       "\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 37.7 280.264725 \n",
       "L 37.7 62.824725 \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 372.5 280.264725 \n",
       "L 372.5 62.824725 \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 37.7 280.264725 \n",
       "L 372.5 280.264725 \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 37.7 62.824725 \n",
       "L 372.5 62.824725 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 380.9 275.00625 \n",
       "L 660.801875 275.00625 \n",
       "Q 663.201875 275.00625 663.201875 272.60625 \n",
       "L 663.201875 9.6 \n",
       "Q 663.201875 7.2 660.801875 7.2 \n",
       "L 380.9 7.2 \n",
       "Q 378.5 7.2 378.5 9.6 \n",
       "L 378.5 272.60625 \n",
       "Q 378.5 275.00625 380.9 275.00625 \n",
       "z\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_79\"/>\n",
       "    <g id=\"line2d_80\">\n",
       "     <g>\n",
       "      <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"395.3\" xlink:href=\"#md59df75ed5\" y=\"16.918125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_8\">\n",
       "     <!-- euler-maruyama: 0.4950955314460727 -->\n",
       "     <defs>\n",
       "      <path d=\"M 56.203125 29.59375 \n",
       "L 56.203125 25.203125 \n",
       "L 14.890625 25.203125 \n",
       "Q 15.484375 15.921875 20.484375 11.0625 \n",
       "Q 25.484375 6.203125 34.421875 6.203125 \n",
       "Q 39.59375 6.203125 44.453125 7.46875 \n",
       "Q 49.3125 8.734375 54.109375 11.28125 \n",
       "L 54.109375 2.78125 \n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \n",
       "Q 5.515625 13.8125 5.515625 26.8125 \n",
       "Q 5.515625 40.234375 12.765625 48.109375 \n",
       "Q 20.015625 56 32.328125 56 \n",
       "Q 43.359375 56 49.78125 48.890625 \n",
       "Q 56.203125 41.796875 56.203125 29.59375 \n",
       "z\n",
       "M 47.21875 32.234375 \n",
       "Q 47.125 39.59375 43.09375 43.984375 \n",
       "Q 39.0625 48.390625 32.421875 48.390625 \n",
       "Q 24.90625 48.390625 20.390625 44.140625 \n",
       "Q 15.875 39.890625 15.1875 32.171875 \n",
       "z\n",
       "\" id=\"DejaVuSans-101\"/>\n",
       "      <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "      <path d=\"M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-108\"/>\n",
       "      <path d=\"M 41.109375 46.296875 \n",
       "Q 39.59375 47.171875 37.8125 47.578125 \n",
       "Q 36.03125 48 33.890625 48 \n",
       "Q 26.265625 48 22.1875 43.046875 \n",
       "Q 18.109375 38.09375 18.109375 28.8125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 20.953125 51.171875 25.484375 53.578125 \n",
       "Q 30.03125 56 36.53125 56 \n",
       "Q 37.453125 56 38.578125 55.875 \n",
       "Q 39.703125 55.765625 41.0625 55.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-114\"/>\n",
       "      <path d=\"M 4.890625 31.390625 \n",
       "L 31.203125 31.390625 \n",
       "L 31.203125 23.390625 \n",
       "L 4.890625 23.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-45\"/>\n",
       "      <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "      <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "      <path d=\"M 32.171875 -5.078125 \n",
       "Q 28.375 -14.84375 24.75 -17.8125 \n",
       "Q 21.140625 -20.796875 15.09375 -20.796875 \n",
       "L 7.90625 -20.796875 \n",
       "L 7.90625 -13.28125 \n",
       "L 13.1875 -13.28125 \n",
       "Q 16.890625 -13.28125 18.9375 -11.515625 \n",
       "Q 21 -9.765625 23.484375 -3.21875 \n",
       "L 25.09375 0.875 \n",
       "L 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 11.921875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-121\"/>\n",
       "      <path d=\"M 11.71875 12.40625 \n",
       "L 22.015625 12.40625 \n",
       "L 22.015625 0 \n",
       "L 11.71875 0 \n",
       "z\n",
       "M 11.71875 51.703125 \n",
       "L 22.015625 51.703125 \n",
       "L 22.015625 39.3125 \n",
       "L 11.71875 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-58\"/>\n",
       "      <path id=\"DejaVuSans-32\"/>\n",
       "      <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "      <path d=\"M 10.984375 1.515625 \n",
       "L 10.984375 10.5 \n",
       "Q 14.703125 8.734375 18.5 7.8125 \n",
       "Q 22.3125 6.890625 25.984375 6.890625 \n",
       "Q 35.75 6.890625 40.890625 13.453125 \n",
       "Q 46.046875 20.015625 46.78125 33.40625 \n",
       "Q 43.953125 29.203125 39.59375 26.953125 \n",
       "Q 35.25 24.703125 29.984375 24.703125 \n",
       "Q 19.046875 24.703125 12.671875 31.3125 \n",
       "Q 6.296875 37.9375 6.296875 49.421875 \n",
       "Q 6.296875 60.640625 12.9375 67.421875 \n",
       "Q 19.578125 74.21875 30.609375 74.21875 \n",
       "Q 43.265625 74.21875 49.921875 64.515625 \n",
       "Q 56.59375 54.828125 56.59375 36.375 \n",
       "Q 56.59375 19.140625 48.40625 8.859375 \n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \n",
       "Q 15.09375 0.046875 10.984375 1.515625 \n",
       "z\n",
       "M 30.609375 32.421875 \n",
       "Q 37.25 32.421875 41.125 36.953125 \n",
       "Q 45.015625 41.5 45.015625 49.421875 \n",
       "Q 45.015625 57.28125 41.125 61.84375 \n",
       "Q 37.25 66.40625 30.609375 66.40625 \n",
       "Q 23.96875 66.40625 20.09375 61.84375 \n",
       "Q 16.21875 57.28125 16.21875 49.421875 \n",
       "Q 16.21875 41.5 20.09375 36.953125 \n",
       "Q 23.96875 32.421875 30.609375 32.421875 \n",
       "z\n",
       "\" id=\"DejaVuSans-57\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 21.118125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"61.523438\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"124.902344\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.685547\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"214.208984\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"255.228516\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"291.3125\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"388.724609\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"450.003906\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"491.117188\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"554.496094\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"613.675781\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"674.955078\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"772.367188\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"833.646484\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"867.337891\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"899.125\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"962.748047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"994.535156\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1058.158203\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1121.78125\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1185.404297\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1249.027344\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1312.650391\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1376.273438\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1439.896484\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1503.519531\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1567.142578\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1630.765625\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1694.388672\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1758.011719\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1821.634766\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1885.257812\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1948.880859\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_81\"/>\n",
       "    <g id=\"line2d_82\">\n",
       "     <g>\n",
       "      <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"395.3\" xlink:href=\"#ma06a303a32\" y=\"34.531875\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_9\">\n",
       "     <!-- platen: 1.0743116039091454 -->\n",
       "     <defs>\n",
       "      <path d=\"M 18.109375 8.203125 \n",
       "L 18.109375 -20.796875 \n",
       "L 9.078125 -20.796875 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.390625 \n",
       "Q 20.953125 51.265625 25.265625 53.625 \n",
       "Q 29.59375 56 35.59375 56 \n",
       "Q 45.5625 56 51.78125 48.09375 \n",
       "Q 58.015625 40.1875 58.015625 27.296875 \n",
       "Q 58.015625 14.40625 51.78125 6.484375 \n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \n",
       "Q 20.953125 3.328125 18.109375 8.203125 \n",
       "z\n",
       "M 48.6875 27.296875 \n",
       "Q 48.6875 37.203125 44.609375 42.84375 \n",
       "Q 40.53125 48.484375 33.40625 48.484375 \n",
       "Q 26.265625 48.484375 22.1875 42.84375 \n",
       "Q 18.109375 37.203125 18.109375 27.296875 \n",
       "Q 18.109375 17.390625 22.1875 11.75 \n",
       "Q 26.265625 6.109375 33.40625 6.109375 \n",
       "Q 40.53125 6.109375 44.609375 11.75 \n",
       "Q 48.6875 17.390625 48.6875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-112\"/>\n",
       "      <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 38.731875)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"91.259766\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"152.539062\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"191.748047\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"253.271484\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"316.650391\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"350.341797\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"382.128906\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"445.751953\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"477.539062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"541.162109\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"604.785156\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"668.408203\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"732.03125\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"795.654297\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"859.277344\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"922.900391\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"986.523438\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1050.146484\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1113.769531\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1177.392578\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1241.015625\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1304.638672\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1368.261719\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1431.884766\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_83\"/>\n",
       "    <g id=\"line2d_84\">\n",
       "     <g>\n",
       "      <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m9e126d0855\" y=\"52.145625\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_10\">\n",
       "     <!-- pred-corr: 0.9932791648094303 -->\n",
       "     <defs>\n",
       "      <path d=\"M 45.40625 46.390625 \n",
       "L 45.40625 75.984375 \n",
       "L 54.390625 75.984375 \n",
       "L 54.390625 0 \n",
       "L 45.40625 0 \n",
       "L 45.40625 8.203125 \n",
       "Q 42.578125 3.328125 38.25 0.953125 \n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \n",
       "Q 5.515625 14.40625 5.515625 27.296875 \n",
       "Q 5.515625 40.1875 11.734375 48.09375 \n",
       "Q 17.96875 56 27.875 56 \n",
       "Q 33.9375 56 38.25 53.625 \n",
       "Q 42.578125 51.265625 45.40625 46.390625 \n",
       "z\n",
       "M 14.796875 27.296875 \n",
       "Q 14.796875 17.390625 18.875 11.75 \n",
       "Q 22.953125 6.109375 30.078125 6.109375 \n",
       "Q 37.203125 6.109375 41.296875 11.75 \n",
       "Q 45.40625 17.390625 45.40625 27.296875 \n",
       "Q 45.40625 37.203125 41.296875 42.84375 \n",
       "Q 37.203125 48.484375 30.078125 48.484375 \n",
       "Q 22.953125 48.484375 18.875 42.84375 \n",
       "Q 14.796875 37.203125 14.796875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-100\"/>\n",
       "      <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "      <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "      <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 56.345625)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"104.558594\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"166.082031\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "      <use x=\"229.558594\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"265.642578\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"320.623047\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"381.804688\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"422.902344\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"464\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"497.691406\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"529.478516\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"593.101562\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"624.888672\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"688.511719\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"752.134766\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"815.757812\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"879.380859\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"943.003906\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1006.626953\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1070.25\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1133.873047\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1197.496094\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1261.119141\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1324.742188\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1388.365234\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1451.988281\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1515.611328\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1579.234375\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_85\"/>\n",
       "    <g id=\"line2d_86\">\n",
       "     <g>\n",
       "      <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m7060a5d97b\" y=\"69.759375\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_11\">\n",
       "     <!-- milstein: 0.938267995754784 -->\n",
       "     <defs>\n",
       "      <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "      <path d=\"M 44.28125 53.078125 \n",
       "L 44.28125 44.578125 \n",
       "Q 40.484375 46.53125 36.375 47.5 \n",
       "Q 32.28125 48.484375 27.875 48.484375 \n",
       "Q 21.1875 48.484375 17.84375 46.4375 \n",
       "Q 14.5 44.390625 14.5 40.28125 \n",
       "Q 14.5 37.15625 16.890625 35.375 \n",
       "Q 19.28125 33.59375 26.515625 31.984375 \n",
       "L 29.59375 31.296875 \n",
       "Q 39.15625 29.25 43.1875 25.515625 \n",
       "Q 47.21875 21.78125 47.21875 15.09375 \n",
       "Q 47.21875 7.46875 41.1875 3.015625 \n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \n",
       "Q 10.6875 0.296875 5.421875 2 \n",
       "L 5.421875 11.28125 \n",
       "Q 10.40625 8.6875 15.234375 7.390625 \n",
       "Q 20.0625 6.109375 24.8125 6.109375 \n",
       "Q 31.15625 6.109375 34.5625 8.28125 \n",
       "Q 37.984375 10.453125 37.984375 14.40625 \n",
       "Q 37.984375 18.0625 35.515625 20.015625 \n",
       "Q 33.0625 21.96875 24.703125 23.78125 \n",
       "L 21.578125 24.515625 \n",
       "Q 13.234375 26.265625 9.515625 29.90625 \n",
       "Q 5.8125 33.546875 5.8125 39.890625 \n",
       "Q 5.8125 47.609375 11.28125 51.796875 \n",
       "Q 16.75 56 26.8125 56 \n",
       "Q 31.78125 56 36.171875 55.265625 \n",
       "Q 40.578125 54.546875 44.28125 53.078125 \n",
       "z\n",
       "\" id=\"DejaVuSans-115\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 73.959375)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"125.195312\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.978516\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"205.078125\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"244.287109\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"305.810547\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"333.59375\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"396.972656\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"430.664062\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"462.451172\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"526.074219\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"557.861328\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"621.484375\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"685.107422\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"748.730469\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"812.353516\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"875.976562\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"939.599609\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1003.222656\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1066.845703\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1130.46875\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1194.091797\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1257.714844\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1321.337891\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1384.960938\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1448.583984\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_87\"/>\n",
       "    <g id=\"line2d_88\">\n",
       "     <g>\n",
       "      <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m71e14d4b5b\" y=\"87.373125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_12\">\n",
       "     <!-- milstein-imp: 0.9598016573333155 -->\n",
       "     <g transform=\"translate(416.9 91.573125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"125.195312\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.978516\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"205.078125\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"244.287109\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"305.810547\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"333.59375\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"396.972656\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"433.056641\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"460.839844\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"558.251953\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"621.728516\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"655.419922\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"687.207031\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"750.830078\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"782.617188\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"846.240234\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"909.863281\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"973.486328\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1037.109375\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1100.732422\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1164.355469\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1227.978516\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1291.601562\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1355.224609\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1418.847656\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1482.470703\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1546.09375\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1609.716797\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1673.339844\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1736.962891\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_89\"/>\n",
       "    <g id=\"line2d_90\">\n",
       "     <g>\n",
       "      <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"395.3\" xlink:href=\"#mbf9b547fba\" y=\"104.986875\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_13\">\n",
       "     <!-- pred-corr-2: 0.9137026501614935 -->\n",
       "     <g transform=\"translate(416.9 109.186875)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"104.558594\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"166.082031\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "      <use x=\"229.558594\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"265.642578\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"320.623047\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"381.804688\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"422.902344\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"463.921875\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"500.005859\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"563.628906\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"597.320312\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"629.107422\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"692.730469\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"724.517578\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"788.140625\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"851.763672\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"915.386719\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"979.009766\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1042.632812\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1106.255859\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1169.878906\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1233.501953\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1297.125\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1360.748047\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1424.371094\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1487.994141\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1551.617188\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1615.240234\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1678.863281\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_91\"/>\n",
       "    <g id=\"line2d_92\">\n",
       "     <g>\n",
       "      <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"395.3\" xlink:href=\"#m2f8889e9c6\" y=\"122.600625\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_14\">\n",
       "     <!-- explicit1.5: 1.3724371421045747 -->\n",
       "     <defs>\n",
       "      <path d=\"M 54.890625 54.6875 \n",
       "L 35.109375 28.078125 \n",
       "L 55.90625 0 \n",
       "L 45.3125 0 \n",
       "L 29.390625 21.484375 \n",
       "L 13.484375 0 \n",
       "L 2.875 0 \n",
       "L 24.125 28.609375 \n",
       "L 4.6875 54.6875 \n",
       "L 15.28125 54.6875 \n",
       "L 29.78125 35.203125 \n",
       "L 44.28125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-120\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 126.800625)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"61.507812\" xlink:href=\"#DejaVuSans-120\"/>\n",
       "      <use x=\"120.6875\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"184.164062\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"211.947266\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"239.730469\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"294.710938\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"322.494141\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"361.703125\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"425.326172\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"457.113281\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"520.736328\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"554.427734\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"586.214844\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"649.837891\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"681.625\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"745.248047\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"808.871094\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"872.494141\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"936.117188\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"999.740234\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1063.363281\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1126.986328\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1190.609375\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1254.232422\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1317.855469\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1381.478516\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1445.101562\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1508.724609\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1572.347656\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1635.970703\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_93\"/>\n",
       "    <g id=\"line2d_94\">\n",
       "     <g>\n",
       "      <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m89b58c26f9\" y=\"140.214375\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_15\">\n",
       "     <!-- taylor1.5: 1.5488368515257418 -->\n",
       "     <g transform=\"translate(416.9 144.414375)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"482.470703\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"514.257812\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"577.880859\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"609.667969\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"673.291016\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"736.914062\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"800.537109\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"864.160156\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"927.783203\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"991.40625\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1055.029297\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1118.652344\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1182.275391\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1245.898438\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1309.521484\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1373.144531\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1436.767578\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1500.390625\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1564.013672\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_95\"/>\n",
       "    <g id=\"line2d_96\">\n",
       "     <g>\n",
       "      <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m7e91e77df8\" y=\"157.828125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- taylor1.5-imp: 1.4549080377002297 -->\n",
       "     <g transform=\"translate(416.9 162.028125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"484.863281\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"512.646484\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"610.058594\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"673.535156\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"707.226562\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"739.013672\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"802.636719\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"834.423828\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"898.046875\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"961.669922\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1025.292969\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1088.916016\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1152.539062\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1216.162109\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1279.785156\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1343.408203\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1407.03125\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1470.654297\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1534.277344\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1597.900391\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1661.523438\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1725.146484\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1788.769531\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_97\"/>\n",
       "    <g id=\"line2d_98\">\n",
       "     <g>\n",
       "      <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#md1e812f66e\" y=\"175.441875\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- taylor2.0: 1.404100016222439 -->\n",
       "     <g transform=\"translate(416.9 179.641875)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"482.470703\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"514.257812\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"577.880859\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"609.667969\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"673.291016\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"736.914062\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"800.537109\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"864.160156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"927.783203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"991.40625\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1055.029297\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1118.652344\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1182.275391\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1245.898438\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1309.521484\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1373.144531\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1436.767578\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1500.390625\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_99\"/>\n",
       "    <g id=\"line2d_100\">\n",
       "     <g>\n",
       "      <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"395.3\" xlink:href=\"#mb8577075bd\" y=\"193.055625\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- taylor2.0: 1.5941992637995397 -->\n",
       "     <g transform=\"translate(416.9 197.255625)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"482.470703\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"514.257812\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"577.880859\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"609.667969\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"673.291016\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"736.914062\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"800.537109\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"864.160156\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"927.783203\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"991.40625\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1055.029297\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1118.652344\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1182.275391\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1245.898438\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1309.521484\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1373.144531\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1436.767578\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1500.390625\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1564.013672\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_101\">\n",
       "     <path d=\"M 383.3 210.669375 \n",
       "L 407.3 210.669375 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_102\"/>\n",
       "    <g id=\"text_19\">\n",
       "     <!-- $\\propto\\Delta t^{1/2}$ -->\n",
       "     <defs>\n",
       "      <path d=\"M 25.734375 17.71875 \n",
       "Q 33.796875 17.71875 38.625 29.4375 \n",
       "Q 32.421875 42.234375 25.734375 42.234375 \n",
       "Q 20.84375 42.234375 18.359375 38.71875 \n",
       "Q 15.71875 34.96875 15.71875 29.984375 \n",
       "Q 15.71875 24.515625 18.359375 21.140625 \n",
       "Q 21.09375 17.71875 25.734375 17.71875 \n",
       "z\n",
       "M 60.6875 17.625 \n",
       "L 60.6875 11.1875 \n",
       "L 56.9375 11.1875 \n",
       "Q 53.375 11.1875 50.734375 12.640625 \n",
       "Q 48.09375 13.96875 45.5625 17.046875 \n",
       "Q 44.046875 18.796875 41.65625 22.90625 \n",
       "Q 38.375 17.046875 35.5 14.453125 \n",
       "Q 31.9375 11.328125 26.265625 11.328125 \n",
       "Q 19.671875 11.328125 15.328125 16.265625 \n",
       "Q 10.75 21.4375 10.75 29.984375 \n",
       "Q 10.75 38.1875 15.328125 43.75 \n",
       "Q 19.390625 48.6875 26.375 48.6875 \n",
       "Q 29.9375 48.6875 32.5625 47.21875 \n",
       "Q 35.640625 45.609375 37.75 42.828125 \n",
       "Q 39.703125 40.328125 41.65625 36.96875 \n",
       "Q 44.921875 42.828125 47.796875 45.40625 \n",
       "Q 51.375 48.53125 57.03125 48.53125 \n",
       "L 60.6875 48.53125 \n",
       "L 60.6875 42.140625 \n",
       "L 57.5625 42.140625 \n",
       "Q 50.34375 42.140625 44.671875 30.421875 \n",
       "Q 50.875 17.625 57.5625 17.625 \n",
       "z\n",
       "\" id=\"DejaVuSans-8733\"/>\n",
       "      <path d=\"M 34.1875 63.1875 \n",
       "L 14.15625 8.203125 \n",
       "L 54.25 8.203125 \n",
       "z\n",
       "M 0.78125 0 \n",
       "L 28.609375 72.90625 \n",
       "L 39.796875 72.90625 \n",
       "L 67.578125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-916\"/>\n",
       "      <path d=\"M 42.28125 54.6875 \n",
       "L 40.921875 47.703125 \n",
       "L 23 47.703125 \n",
       "L 17.1875 18.015625 \n",
       "Q 16.890625 16.359375 16.75 15.234375 \n",
       "Q 16.609375 14.109375 16.609375 13.484375 \n",
       "Q 16.609375 10.359375 18.484375 8.9375 \n",
       "Q 20.359375 7.515625 24.515625 7.515625 \n",
       "L 33.59375 7.515625 \n",
       "L 32.078125 0 \n",
       "L 23.484375 0 \n",
       "Q 15.484375 0 11.546875 3.125 \n",
       "Q 7.625 6.25 7.625 12.59375 \n",
       "Q 7.625 13.71875 7.765625 15.0625 \n",
       "Q 7.90625 16.40625 8.203125 18.015625 \n",
       "L 14.015625 47.703125 \n",
       "L 6.390625 47.703125 \n",
       "L 7.8125 54.6875 \n",
       "L 15.28125 54.6875 \n",
       "L 18.3125 70.21875 \n",
       "L 27.296875 70.21875 \n",
       "L 24.3125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-116\"/>\n",
       "      <path d=\"M 25.390625 72.90625 \n",
       "L 33.6875 72.90625 \n",
       "L 8.296875 -9.28125 \n",
       "L 0 -9.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-47\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 214.869375)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.765625)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.765625)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.765625)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "      <use transform=\"translate(224.658099 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use transform=\"translate(269.194232 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-47\"/>\n",
       "      <use transform=\"translate(292.745404 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_103\">\n",
       "     <path d=\"M 383.3 228.283125 \n",
       "L 407.3 228.283125 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_104\"/>\n",
       "    <g id=\"text_20\">\n",
       "     <!-- $\\propto\\Delta t$ -->\n",
       "     <g transform=\"translate(416.9 232.483125)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.09375)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.09375)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_105\">\n",
       "     <path d=\"M 383.3 245.896875 \n",
       "L 407.3 245.896875 \n",
       "\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_106\"/>\n",
       "    <g id=\"text_21\">\n",
       "     <!-- $\\propto\\Delta t^{3/2}$ -->\n",
       "     <g transform=\"translate(416.9 250.096875)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.765625)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.765625)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.765625)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "      <use transform=\"translate(224.658099 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use transform=\"translate(269.194232 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-47\"/>\n",
       "      <use transform=\"translate(292.745404 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_107\">\n",
       "     <path d=\"M 383.3 263.510625 \n",
       "L 407.3 263.510625 \n",
       "\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_108\"/>\n",
       "    <g id=\"text_22\">\n",
       "     <!-- $\\propto\\Delta t^{2}$ -->\n",
       "     <g transform=\"translate(416.9 267.710625)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.765625)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.765625)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.765625)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "      <use transform=\"translate(224.658099 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pfb0a52a147\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"37.7\" y=\"62.824725\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.subplot(111)\n",
    "\n",
    "mark = \"o*vspx+^<>1hdD\"\n",
    "\n",
    "for i,run in enumerate(stats_cte_cte):\n",
    "    ax.loglog(stepsizes, run[0], mark[i], label=run[1]+\": \" + str(run[2]))\n",
    "\n",
    "ax.loglog(stepsizes, 0.1*np.array(stepsizes)**0.5, label=\"$\\propto\\Delta t^{1/2}$\")\n",
    "ax.loglog(stepsizes, 0.1*np.array(stepsizes)**1, label=\"$\\propto\\Delta t$\")\n",
    "ax.loglog(stepsizes, 0.1*np.array(stepsizes)**1.5, label=\"$\\propto\\Delta t^{3/2}$\")\n",
    "ax.loglog(stepsizes, 0.2*np.array(stepsizes)**2.0, label=\"$\\propto\\Delta t^{2}$\")\n",
    "\n",
    "lgd=ax.legend(loc='center left', bbox_to_anchor=(1, 0.64), prop={'size':12})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Deterministic part depend on time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'solver': 'euler-maruyama'}\n",
      "Total run time:   0.25s\n",
      "Total run time:   0.13s\n",
      "Total run time:   0.18s\n",
      "Total run time:   0.23s\n",
      "Total run time:   0.29s\n",
      "Total run time:   0.38s\n",
      "Total run time:   0.52s\n",
      "Total run time:   0.60s\n",
      "Total run time:   0.80s\n",
      "Total run time:   0.99s\n",
      "{'solver': 'platen'}\n",
      "Total run time:   0.28s\n",
      "Total run time:   0.32s\n",
      "Total run time:   0.42s\n",
      "Total run time:   0.54s\n",
      "Total run time:   0.69s\n",
      "Total run time:   0.88s\n",
      "Total run time:   1.20s\n",
      "Total run time:   1.50s\n",
      "Total run time:   1.93s\n",
      "Total run time:   2.55s\n",
      "{'solver': 'pc-euler'}\n",
      "Total run time:   0.16s\n",
      "Total run time:   0.21s\n",
      "Total run time:   0.28s\n",
      "Total run time:   0.37s\n",
      "Total run time:   0.45s\n",
      "Total run time:   0.57s\n",
      "Total run time:   0.76s\n",
      "Total run time:   1.00s\n",
      "Total run time:   1.24s\n",
      "Total run time:   1.62s\n",
      "{'solver': 'milstein'}\n",
      "Total run time:   0.13s\n",
      "Total run time:   0.17s\n",
      "Total run time:   0.21s\n",
      "Total run time:   0.28s\n",
      "Total run time:   0.35s\n",
      "Total run time:   0.44s\n",
      "Total run time:   0.59s\n",
      "Total run time:   0.76s\n",
      "Total run time:   0.96s\n",
      "Total run time:   1.25s\n",
      "{'solver': 'milstein-imp'}\n",
      "Total run time:   0.89s\n",
      "Total run time:   1.07s\n",
      "Total run time:   1.36s\n",
      "Total run time:   1.79s\n",
      "Total run time:   2.20s\n",
      "Total run time:   2.77s\n",
      "Total run time:   3.65s\n",
      "Total run time:   4.65s\n",
      "Total run time:   6.09s\n",
      "Total run time:   7.90s\n",
      "{'solver': 'pc-euler-2'}\n",
      "Total run time:   0.28s\n",
      "Total run time:   0.33s\n",
      "Total run time:   0.46s\n",
      "Total run time:   0.57s\n",
      "Total run time:   0.73s\n",
      "Total run time:   0.93s\n",
      "Total run time:   1.23s\n",
      "Total run time:   1.61s\n",
      "Total run time:   2.04s\n",
      "Total run time:   2.71s\n",
      "{'solver': 'explicit1.5'}\n",
      "Total run time:   0.50s\n",
      "Total run time:   0.59s\n",
      "Total run time:   0.77s\n",
      "Total run time:   1.02s\n",
      "Total run time:   1.32s\n",
      "Total run time:   1.71s\n",
      "Total run time:   2.19s\n",
      "Total run time:   2.87s\n",
      "Total run time:   3.72s\n",
      "Total run time:   4.80s\n",
      "{'solver': 'taylor1.5'}\n",
      "Total run time:   0.50s\n",
      "Total run time:   0.56s\n",
      "Total run time:   0.86s\n",
      "Total run time:   0.98s\n",
      "Total run time:   1.29s\n",
      "Total run time:   1.64s\n",
      "Total run time:   2.12s\n",
      "Total run time:   2.72s\n",
      "Total run time:   3.52s\n",
      "Total run time:   4.57s\n",
      "{'solver': 'taylor1.5-imp', 'args': {'tol': 1e-08}}\n",
      "Total run time:   1.17s\n",
      "Total run time:   1.39s\n",
      "Total run time:   1.85s\n",
      "Total run time:   2.31s\n",
      "Total run time:   2.94s\n",
      "Total run time:   3.71s\n",
      "Total run time:   4.79s\n",
      "Total run time:   6.00s\n",
      "Total run time:   7.68s\n",
      "Total run time:   9.94s\n",
      "{'solver': 'taylor2.0'}\n",
      "Total run time:   0.67s\n",
      "Total run time:   0.74s\n",
      "Total run time:   0.97s\n",
      "Total run time:   1.28s\n",
      "Total run time:   1.66s\n",
      "Total run time:   2.15s\n",
      "Total run time:   2.78s\n",
      "Total run time:   3.56s\n",
      "Total run time:   4.66s\n",
      "Total run time:   6.11s\n",
      "{'solver': 'taylor2.0', 'noiseDepth': 500}\n",
      "Total run time:   2.18s\n",
      "Total run time:   2.63s\n",
      "Total run time:   3.46s\n",
      "Total run time:   4.55s\n",
      "Total run time:   5.83s\n",
      "Total run time:   7.59s\n",
      "Total run time:  10.06s\n",
      "Total run time:  12.80s\n",
      "Total run time:  16.65s\n",
      "Total run time:  21.63s\n"
     ]
    }
   ],
   "source": [
    "ntraj = 1\n",
    "def run_(**kwargs):\n",
    "    epsilon = np.zeros(Nt)\n",
    "    std = np.zeros(Nt)\n",
    "    print(kwargs)\n",
    "    for j in range(0,ntraj):\n",
    "        for jj in range(0,Nt):\n",
    "            Nsub = Nsubs[jj]\n",
    "            sol = smesolve(H, rho0, tlist, c_op_td, sc_op, e_op, nsubsteps=Nsub, **kwargs)\n",
    "            epsilon_j = 1/T * np.sum(np.abs(y_td - (sol.expect[1]-sol.expect[0]*sol.expect[0].conj())))*ddt\n",
    "            epsilon[jj] += epsilon_j\n",
    "            std[jj] += epsilon_j\n",
    "    epsilon/= ntraj\n",
    "    std = np.sqrt(1/ntraj * (1/ntraj * std - epsilon**2))\n",
    "    return epsilon\n",
    "\n",
    "def get_stats_d1(**kw):\n",
    "    start = time.time()\n",
    "    y = run_(**kw)\n",
    "    tag = str(kw[\"solver\"])\n",
    "    x = np.log(stepsizes)\n",
    "    ly = np.log(y)\n",
    "    fit = np.polyfit(x, ly, 1)[0]\n",
    "    return y,tag,fit,time.time()-start\n",
    "\n",
    "stat_d1 = []\n",
    "stat_d1.append(get_stats_d1(solver='euler-maruyama'))\n",
    "\n",
    "stat_d1.append(get_stats_d1(solver='platen'))\n",
    "stat_d1.append(get_stats_d1(solver='pc-euler'))\n",
    "stat_d1.append(get_stats_d1(solver='milstein'))\n",
    "stat_d1.append(get_stats_d1(solver='milstein-imp'))\n",
    "stat_d1.append(get_stats_d1(solver='pc-euler-2'))\n",
    "\n",
    "stat_d1.append(get_stats_d1(solver='explicit1.5'))\n",
    "stat_d1.append(get_stats_d1(solver=\"taylor1.5\"))\n",
    "stat_d1.append(get_stats_d1(solver=\"taylor1.5-imp\", args={\"tol\":1e-8}))\n",
    "\n",
    "stat_d1.append(get_stats_d1(solver=\"taylor2.0\"))\n",
    "stat_d1.append(get_stats_d1(solver=\"taylor2.0\", noiseDepth=500))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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=\"304.14285pt\" version=\"1.1\" viewBox=\"0 0 670.401875 304.14285\" width=\"670.401875pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 304.14285 \n",
       "L 670.401875 304.14285 \n",
       "L 670.401875 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 37.7 280.264725 \n",
       "L 372.5 280.264725 \n",
       "L 372.5 62.824725 \n",
       "L 37.7 62.824725 \n",
       "z\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 \n",
       "L 0 3.5 \n",
       "\" id=\"mb1cec04bab\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"144.540766\" xlink:href=\"#mb1cec04bab\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathdefault{10^{-3}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-8722\"/>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(132.790766 294.863163)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 2 \n",
       "\" id=\"m1cf10a6a27\" style=\"stroke:#000000;stroke-width:0.6;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"52.918182\" xlink:href=\"#m1cf10a6a27\" y=\"280.264725\"/>\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:0.6;\" x=\"77.018074\" xlink:href=\"#m1cf10a6a27\" y=\"280.264725\"/>\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:0.6;\" x=\"97.394242\" xlink:href=\"#m1cf10a6a27\" y=\"280.264725\"/>\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:0.6;\" x=\"115.044882\" xlink:href=\"#m1cf10a6a27\" y=\"280.264725\"/>\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:0.6;\" x=\"130.61385\" xlink:href=\"#m1cf10a6a27\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"236.16335\" xlink:href=\"#m1cf10a6a27\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"289.759126\" xlink:href=\"#m1cf10a6a27\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"327.785934\" xlink:href=\"#m1cf10a6a27\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"357.281818\" xlink:href=\"#m1cf10a6a27\" y=\"280.264725\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m279155685c\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#m279155685c\" y=\"280.734142\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathdefault{10^{-7}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 284.533361)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#m279155685c\" y=\"238.135653\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathdefault{10^{-6}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 241.934872)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#m279155685c\" y=\"195.537165\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathdefault{10^{-5}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 199.336383)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#m279155685c\" y=\"152.938676\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathdefault{10^{-4}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 156.737895)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#m279155685c\" y=\"110.340187\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathdefault{10^{-3}}$ -->\n",
       "      <g transform=\"translate(7.2 114.139406)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#m279155685c\" y=\"67.741698\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathdefault{10^{-2}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 71.540917)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -2 0 \n",
       "\" id=\"md3e1ab0a09\" style=\"stroke:#000000;stroke-width:0.6;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"267.910719\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"260.409498\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"255.087296\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"250.959076\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"247.586075\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"244.734243\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"242.263874\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"240.084853\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_15\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"225.312231\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_16\">\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"217.811009\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_17\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"212.488808\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_18\">\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"208.360588\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_19\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"204.987586\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_20\">\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"202.135754\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_21\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"199.665385\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_22\">\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"197.486365\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_23\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"182.713742\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_24\">\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"175.21252\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_25\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"169.890319\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_26\">\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"165.762099\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_27\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"162.389097\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_28\">\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"159.537265\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_29\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"157.066896\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_30\">\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"154.887876\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_31\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"140.115253\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_32\">\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"132.614031\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_33\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"127.29183\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_34\">\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"123.16361\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_35\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"119.790609\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_36\">\n",
       "     <g id=\"line2d_46\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"116.938776\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_37\">\n",
       "     <g id=\"line2d_47\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"114.468407\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_38\">\n",
       "     <g id=\"line2d_48\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"112.289387\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_39\">\n",
       "     <g id=\"line2d_49\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"97.516764\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_40\">\n",
       "     <g id=\"line2d_50\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"90.015543\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_41\">\n",
       "     <g id=\"line2d_51\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"84.693341\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_42\">\n",
       "     <g id=\"line2d_52\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"80.565121\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_43\">\n",
       "     <g id=\"line2d_53\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"77.19212\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_44\">\n",
       "     <g id=\"line2d_54\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"74.340288\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_45\">\n",
       "     <g id=\"line2d_55\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"71.869918\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_46\">\n",
       "     <g id=\"line2d_56\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#md3e1ab0a09\" y=\"69.690898\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_57\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"m1fe9fadae4\" style=\"stroke:#1f77b4;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p6815205e29)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"357.281818\" xlink:href=\"#m1fe9fadae4\" y=\"72.708361\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"333.181926\" xlink:href=\"#m1fe9fadae4\" y=\"79.240785\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"295.155118\" xlink:href=\"#m1fe9fadae4\" y=\"76.80018\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"259.209982\" xlink:href=\"#m1fe9fadae4\" y=\"89.798446\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"225.990374\" xlink:href=\"#m1fe9fadae4\" y=\"88.074343\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"191.68729\" xlink:href=\"#m1fe9fadae4\" y=\"87.520987\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"155.562435\" xlink:href=\"#m1fe9fadae4\" y=\"96.546761\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"122.662497\" xlink:href=\"#m1fe9fadae4\" y=\"89.717122\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"87.466277\" xlink:href=\"#m1fe9fadae4\" y=\"99.121512\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"52.918182\" xlink:href=\"#m1fe9fadae4\" y=\"101.484358\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_58\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -0.673542 -0.927051 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.089814 0.354102 \n",
       "L -1.763356 2.427051 \n",
       "L -0 1.145898 \n",
       "L 1.763356 2.427051 \n",
       "L 1.089814 0.354102 \n",
       "L 2.85317 -0.927051 \n",
       "L 0.673542 -0.927051 \n",
       "z\n",
       "\" id=\"m05fe3187d8\" style=\"stroke:#ff7f0e;stroke-linejoin:bevel;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p6815205e29)\">\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"357.281818\" xlink:href=\"#m05fe3187d8\" y=\"138.081068\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"333.181926\" xlink:href=\"#m05fe3187d8\" y=\"140.599358\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"295.155118\" xlink:href=\"#m05fe3187d8\" y=\"152.779897\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"259.209982\" xlink:href=\"#m05fe3187d8\" y=\"149.86748\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"225.990374\" xlink:href=\"#m05fe3187d8\" y=\"164.662342\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"191.68729\" xlink:href=\"#m05fe3187d8\" y=\"156.61095\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"155.562435\" xlink:href=\"#m05fe3187d8\" y=\"168.949284\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"122.662497\" xlink:href=\"#m05fe3187d8\" y=\"181.232806\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"87.466277\" xlink:href=\"#m05fe3187d8\" y=\"189.212235\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"52.918182\" xlink:href=\"#m05fe3187d8\" y=\"189.990447\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_59\">\n",
       "    <defs>\n",
       "     <path d=\"M -0 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"m92d8df3695\" style=\"stroke:#2ca02c;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p6815205e29)\">\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m92d8df3695\" y=\"130.064809\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#m92d8df3695\" y=\"144.455497\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#m92d8df3695\" y=\"136.457128\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#m92d8df3695\" y=\"148.064803\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#m92d8df3695\" y=\"151.032483\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#m92d8df3695\" y=\"161.787849\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#m92d8df3695\" y=\"159.399683\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#m92d8df3695\" y=\"173.946972\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#m92d8df3695\" y=\"174.237868\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m92d8df3695\" y=\"177.250039\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_60\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"me0d7ebc831\" style=\"stroke:#d62728;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p6815205e29)\">\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#me0d7ebc831\" y=\"122.678468\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#me0d7ebc831\" y=\"129.739282\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#me0d7ebc831\" y=\"134.528874\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#me0d7ebc831\" y=\"141.389575\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#me0d7ebc831\" y=\"140.923647\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#me0d7ebc831\" y=\"151.312608\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#me0d7ebc831\" y=\"162.811091\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#me0d7ebc831\" y=\"163.995852\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#me0d7ebc831\" y=\"162.911257\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#me0d7ebc831\" y=\"175.337092\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_61\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.763356 2.427051 \n",
       "L 1.763356 2.427051 \n",
       "L 2.85317 -0.927051 \n",
       "z\n",
       "\" id=\"m2ecfe9601e\" style=\"stroke:#9467bd;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p6815205e29)\">\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m2ecfe9601e\" y=\"130.922257\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#m2ecfe9601e\" y=\"139.845249\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#m2ecfe9601e\" y=\"153.396345\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#m2ecfe9601e\" y=\"147.389594\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#m2ecfe9601e\" y=\"146.90454\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#m2ecfe9601e\" y=\"164.595045\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#m2ecfe9601e\" y=\"165.56952\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#m2ecfe9601e\" y=\"178.902353\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#m2ecfe9601e\" y=\"180.028336\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m2ecfe9601e\" y=\"179.498453\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_62\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 -3 \n",
       "M -3 -3 \n",
       "L 3 3 \n",
       "\" id=\"meb9faa22e3\" style=\"stroke:#8c564b;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p6815205e29)\">\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"357.281818\" xlink:href=\"#meb9faa22e3\" y=\"136.424834\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"333.181926\" xlink:href=\"#meb9faa22e3\" y=\"129.384788\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"295.155118\" xlink:href=\"#meb9faa22e3\" y=\"140.794715\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"259.209982\" xlink:href=\"#meb9faa22e3\" y=\"133.799128\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"225.990374\" xlink:href=\"#meb9faa22e3\" y=\"146.493034\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"191.68729\" xlink:href=\"#meb9faa22e3\" y=\"153.634773\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"155.562435\" xlink:href=\"#meb9faa22e3\" y=\"155.471253\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"122.662497\" xlink:href=\"#meb9faa22e3\" y=\"167.540591\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"87.466277\" xlink:href=\"#meb9faa22e3\" y=\"164.49968\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"52.918182\" xlink:href=\"#meb9faa22e3\" y=\"172.368454\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_63\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 0 \n",
       "L 3 0 \n",
       "M 0 3 \n",
       "L 0 -3 \n",
       "\" id=\"m570551a672\" style=\"stroke:#e377c2;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p6815205e29)\">\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"357.281818\" xlink:href=\"#m570551a672\" y=\"166.002822\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"333.181926\" xlink:href=\"#m570551a672\" y=\"164.734026\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"295.155118\" xlink:href=\"#m570551a672\" y=\"181.825687\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"259.209982\" xlink:href=\"#m570551a672\" y=\"188.756252\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"225.990374\" xlink:href=\"#m570551a672\" y=\"194.902452\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"191.68729\" xlink:href=\"#m570551a672\" y=\"199.392861\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"155.562435\" xlink:href=\"#m570551a672\" y=\"203.689994\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"122.662497\" xlink:href=\"#m570551a672\" y=\"211.650719\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"87.466277\" xlink:href=\"#m570551a672\" y=\"228.131777\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"52.918182\" xlink:href=\"#m570551a672\" y=\"237.564701\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_64\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -3 3 \n",
       "L 3 3 \n",
       "z\n",
       "\" id=\"me3ab43bc9f\" style=\"stroke:#7f7f7f;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p6815205e29)\">\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#me3ab43bc9f\" y=\"162.485381\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#me3ab43bc9f\" y=\"170.761262\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#me3ab43bc9f\" y=\"177.512923\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#me3ab43bc9f\" y=\"184.657619\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#me3ab43bc9f\" y=\"194.554992\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#me3ab43bc9f\" y=\"206.789019\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#me3ab43bc9f\" y=\"208.195813\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#me3ab43bc9f\" y=\"211.364199\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#me3ab43bc9f\" y=\"222.949923\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#me3ab43bc9f\" y=\"228.609592\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_65\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 -0 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "z\n",
       "\" id=\"m5b339df756\" style=\"stroke:#bcbd22;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p6815205e29)\">\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m5b339df756\" y=\"180.288546\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#m5b339df756\" y=\"186.168765\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#m5b339df756\" y=\"192.940029\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#m5b339df756\" y=\"201.624297\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#m5b339df756\" y=\"210.05014\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#m5b339df756\" y=\"217.374934\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#m5b339df756\" y=\"218.42556\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#m5b339df756\" y=\"230.583843\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#m5b339df756\" y=\"233.983415\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m5b339df756\" y=\"244.136714\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_66\">\n",
       "    <defs>\n",
       "     <path d=\"M 3 0 \n",
       "L -3 -3 \n",
       "L -3 3 \n",
       "z\n",
       "\" id=\"m6a86dd67ea\" style=\"stroke:#17becf;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p6815205e29)\">\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m6a86dd67ea\" y=\"188.490037\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"333.181926\" xlink:href=\"#m6a86dd67ea\" y=\"194.266421\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"295.155118\" xlink:href=\"#m6a86dd67ea\" y=\"203.427332\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"259.209982\" xlink:href=\"#m6a86dd67ea\" y=\"209.824552\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"225.990374\" xlink:href=\"#m6a86dd67ea\" y=\"217.183867\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"191.68729\" xlink:href=\"#m6a86dd67ea\" y=\"224.717391\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"155.562435\" xlink:href=\"#m6a86dd67ea\" y=\"235.626822\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"122.662497\" xlink:href=\"#m6a86dd67ea\" y=\"237.338636\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"87.466277\" xlink:href=\"#m6a86dd67ea\" y=\"243.552357\"/>\n",
       "     <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m6a86dd67ea\" y=\"253.954589\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_67\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 0 \n",
       "L 0 3 \n",
       "M 0 0 \n",
       "L 2.4 -1.5 \n",
       "M 0 0 \n",
       "L -2.4 -1.5 \n",
       "\" id=\"m79d117bb48\" style=\"stroke:#1f77b4;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p6815205e29)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"357.281818\" xlink:href=\"#m79d117bb48\" y=\"186.652876\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"333.181926\" xlink:href=\"#m79d117bb48\" y=\"192.363148\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"295.155118\" xlink:href=\"#m79d117bb48\" y=\"197.499895\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"259.209982\" xlink:href=\"#m79d117bb48\" y=\"201.689375\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"225.990374\" xlink:href=\"#m79d117bb48\" y=\"215.557916\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"191.68729\" xlink:href=\"#m79d117bb48\" y=\"224.097464\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"155.562435\" xlink:href=\"#m79d117bb48\" y=\"226.300252\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"122.662497\" xlink:href=\"#m79d117bb48\" y=\"231.05425\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"87.466277\" xlink:href=\"#m79d117bb48\" y=\"242.905137\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"52.918182\" xlink:href=\"#m79d117bb48\" y=\"252.581504\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_68\">\n",
       "    <path clip-path=\"url(#p6815205e29)\" d=\"M 357.281818 74.15341 \n",
       "L 333.181926 75.83991 \n",
       "L 295.155118 78.501011 \n",
       "L 259.209982 81.016437 \n",
       "L 225.990374 83.341132 \n",
       "L 191.68729 85.741648 \n",
       "L 155.562435 88.269651 \n",
       "L 122.662497 90.571975 \n",
       "L 87.466277 93.034992 \n",
       "L 52.918182 95.452654 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_69\">\n",
       "    <path clip-path=\"url(#p6815205e29)\" d=\"M 357.281818 135.987033 \n",
       "L 333.181926 139.360034 \n",
       "L 295.155118 144.682236 \n",
       "L 259.209982 149.713088 \n",
       "L 225.990374 154.362477 \n",
       "L 191.68729 159.163509 \n",
       "L 155.562435 164.219515 \n",
       "L 122.662497 168.824164 \n",
       "L 87.466277 173.750198 \n",
       "L 52.918182 178.585522 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_70\">\n",
       "    <path clip-path=\"url(#p6815205e29)\" d=\"M 357.281818 168.800809 \n",
       "L 333.181926 173.860311 \n",
       "L 295.155118 181.843613 \n",
       "L 259.209982 189.389891 \n",
       "L 225.990374 196.363975 \n",
       "L 191.68729 203.565523 \n",
       "L 155.562435 211.149532 \n",
       "L 122.662497 218.056505 \n",
       "L 87.466277 225.445557 \n",
       "L 52.918182 232.698542 \n",
       "\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_71\">\n",
       "    <path clip-path=\"url(#p6815205e29)\" d=\"M 357.281818 185.184111 \n",
       "L 333.181926 191.930114 \n",
       "L 295.155118 202.574517 \n",
       "L 259.209982 212.636221 \n",
       "L 225.990374 221.935 \n",
       "L 191.68729 231.537064 \n",
       "L 155.562435 241.649075 \n",
       "L 122.662497 250.858373 \n",
       "L 87.466277 260.710441 \n",
       "L 52.918182 270.381089 \n",
       "\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 37.7 280.264725 \n",
       "L 37.7 62.824725 \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 372.5 280.264725 \n",
       "L 372.5 62.824725 \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 37.7 280.264725 \n",
       "L 372.5 280.264725 \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 37.7 62.824725 \n",
       "L 372.5 62.824725 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 380.9 275.00625 \n",
       "L 660.801875 275.00625 \n",
       "Q 663.201875 275.00625 663.201875 272.60625 \n",
       "L 663.201875 9.6 \n",
       "Q 663.201875 7.2 660.801875 7.2 \n",
       "L 380.9 7.2 \n",
       "Q 378.5 7.2 378.5 9.6 \n",
       "L 378.5 272.60625 \n",
       "Q 378.5 275.00625 380.9 275.00625 \n",
       "z\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_72\"/>\n",
       "    <g id=\"line2d_73\">\n",
       "     <g>\n",
       "      <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"395.3\" xlink:href=\"#m1fe9fadae4\" y=\"16.918125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_8\">\n",
       "     <!-- euler-maruyama: 0.6075989336793537 -->\n",
       "     <defs>\n",
       "      <path d=\"M 56.203125 29.59375 \n",
       "L 56.203125 25.203125 \n",
       "L 14.890625 25.203125 \n",
       "Q 15.484375 15.921875 20.484375 11.0625 \n",
       "Q 25.484375 6.203125 34.421875 6.203125 \n",
       "Q 39.59375 6.203125 44.453125 7.46875 \n",
       "Q 49.3125 8.734375 54.109375 11.28125 \n",
       "L 54.109375 2.78125 \n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \n",
       "Q 5.515625 13.8125 5.515625 26.8125 \n",
       "Q 5.515625 40.234375 12.765625 48.109375 \n",
       "Q 20.015625 56 32.328125 56 \n",
       "Q 43.359375 56 49.78125 48.890625 \n",
       "Q 56.203125 41.796875 56.203125 29.59375 \n",
       "z\n",
       "M 47.21875 32.234375 \n",
       "Q 47.125 39.59375 43.09375 43.984375 \n",
       "Q 39.0625 48.390625 32.421875 48.390625 \n",
       "Q 24.90625 48.390625 20.390625 44.140625 \n",
       "Q 15.875 39.890625 15.1875 32.171875 \n",
       "z\n",
       "\" id=\"DejaVuSans-101\"/>\n",
       "      <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "      <path d=\"M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-108\"/>\n",
       "      <path d=\"M 41.109375 46.296875 \n",
       "Q 39.59375 47.171875 37.8125 47.578125 \n",
       "Q 36.03125 48 33.890625 48 \n",
       "Q 26.265625 48 22.1875 43.046875 \n",
       "Q 18.109375 38.09375 18.109375 28.8125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 20.953125 51.171875 25.484375 53.578125 \n",
       "Q 30.03125 56 36.53125 56 \n",
       "Q 37.453125 56 38.578125 55.875 \n",
       "Q 39.703125 55.765625 41.0625 55.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-114\"/>\n",
       "      <path d=\"M 4.890625 31.390625 \n",
       "L 31.203125 31.390625 \n",
       "L 31.203125 23.390625 \n",
       "L 4.890625 23.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-45\"/>\n",
       "      <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "      <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "      <path d=\"M 32.171875 -5.078125 \n",
       "Q 28.375 -14.84375 24.75 -17.8125 \n",
       "Q 21.140625 -20.796875 15.09375 -20.796875 \n",
       "L 7.90625 -20.796875 \n",
       "L 7.90625 -13.28125 \n",
       "L 13.1875 -13.28125 \n",
       "Q 16.890625 -13.28125 18.9375 -11.515625 \n",
       "Q 21 -9.765625 23.484375 -3.21875 \n",
       "L 25.09375 0.875 \n",
       "L 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 11.921875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-121\"/>\n",
       "      <path d=\"M 11.71875 12.40625 \n",
       "L 22.015625 12.40625 \n",
       "L 22.015625 0 \n",
       "L 11.71875 0 \n",
       "z\n",
       "M 11.71875 51.703125 \n",
       "L 22.015625 51.703125 \n",
       "L 22.015625 39.3125 \n",
       "L 11.71875 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-58\"/>\n",
       "      <path id=\"DejaVuSans-32\"/>\n",
       "      <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "      <path d=\"M 10.984375 1.515625 \n",
       "L 10.984375 10.5 \n",
       "Q 14.703125 8.734375 18.5 7.8125 \n",
       "Q 22.3125 6.890625 25.984375 6.890625 \n",
       "Q 35.75 6.890625 40.890625 13.453125 \n",
       "Q 46.046875 20.015625 46.78125 33.40625 \n",
       "Q 43.953125 29.203125 39.59375 26.953125 \n",
       "Q 35.25 24.703125 29.984375 24.703125 \n",
       "Q 19.046875 24.703125 12.671875 31.3125 \n",
       "Q 6.296875 37.9375 6.296875 49.421875 \n",
       "Q 6.296875 60.640625 12.9375 67.421875 \n",
       "Q 19.578125 74.21875 30.609375 74.21875 \n",
       "Q 43.265625 74.21875 49.921875 64.515625 \n",
       "Q 56.59375 54.828125 56.59375 36.375 \n",
       "Q 56.59375 19.140625 48.40625 8.859375 \n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \n",
       "Q 15.09375 0.046875 10.984375 1.515625 \n",
       "z\n",
       "M 30.609375 32.421875 \n",
       "Q 37.25 32.421875 41.125 36.953125 \n",
       "Q 45.015625 41.5 45.015625 49.421875 \n",
       "Q 45.015625 57.28125 41.125 61.84375 \n",
       "Q 37.25 66.40625 30.609375 66.40625 \n",
       "Q 23.96875 66.40625 20.09375 61.84375 \n",
       "Q 16.21875 57.28125 16.21875 49.421875 \n",
       "Q 16.21875 41.5 20.09375 36.953125 \n",
       "Q 23.96875 32.421875 30.609375 32.421875 \n",
       "z\n",
       "\" id=\"DejaVuSans-57\"/>\n",
       "      <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 21.118125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"61.523438\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"124.902344\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.685547\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"214.208984\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"255.228516\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"291.3125\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"388.724609\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"450.003906\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"491.117188\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"554.496094\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"613.675781\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"674.955078\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"772.367188\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"833.646484\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"867.337891\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"899.125\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"962.748047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"994.535156\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1058.158203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1121.78125\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1185.404297\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1249.027344\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1312.650391\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1376.273438\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1439.896484\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1503.519531\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1567.142578\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1630.765625\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1694.388672\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1758.011719\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1821.634766\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1885.257812\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1948.880859\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_74\"/>\n",
       "    <g id=\"line2d_75\">\n",
       "     <g>\n",
       "      <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"395.3\" xlink:href=\"#m05fe3187d8\" y=\"34.531875\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_9\">\n",
       "     <!-- platen: 1.2596081210408883 -->\n",
       "     <defs>\n",
       "      <path d=\"M 18.109375 8.203125 \n",
       "L 18.109375 -20.796875 \n",
       "L 9.078125 -20.796875 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.390625 \n",
       "Q 20.953125 51.265625 25.265625 53.625 \n",
       "Q 29.59375 56 35.59375 56 \n",
       "Q 45.5625 56 51.78125 48.09375 \n",
       "Q 58.015625 40.1875 58.015625 27.296875 \n",
       "Q 58.015625 14.40625 51.78125 6.484375 \n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \n",
       "Q 20.953125 3.328125 18.109375 8.203125 \n",
       "z\n",
       "M 48.6875 27.296875 \n",
       "Q 48.6875 37.203125 44.609375 42.84375 \n",
       "Q 40.53125 48.484375 33.40625 48.484375 \n",
       "Q 26.265625 48.484375 22.1875 42.84375 \n",
       "Q 18.109375 37.203125 18.109375 27.296875 \n",
       "Q 18.109375 17.390625 22.1875 11.75 \n",
       "Q 26.265625 6.109375 33.40625 6.109375 \n",
       "Q 40.53125 6.109375 44.609375 11.75 \n",
       "Q 48.6875 17.390625 48.6875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-112\"/>\n",
       "      <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 38.731875)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"91.259766\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"152.539062\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"191.748047\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"253.271484\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"316.650391\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"350.341797\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"382.128906\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"445.751953\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"477.539062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"541.162109\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"604.785156\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"668.408203\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"732.03125\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"795.654297\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"859.277344\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"922.900391\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"986.523438\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1050.146484\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1113.769531\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1177.392578\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1241.015625\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1304.638672\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1368.261719\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1431.884766\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_76\"/>\n",
       "    <g id=\"line2d_77\">\n",
       "     <g>\n",
       "      <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m92d8df3695\" y=\"52.145625\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_10\">\n",
       "     <!-- pc-euler: 1.0869483120572188 -->\n",
       "     <defs>\n",
       "      <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 56.345625)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"118.457031\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"154.541016\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"216.064453\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"279.443359\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"307.226562\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"368.75\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"409.847656\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"443.539062\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"475.326172\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"538.949219\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"570.736328\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"634.359375\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"697.982422\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"761.605469\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"825.228516\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"888.851562\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"952.474609\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1016.097656\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1079.720703\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1143.34375\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1206.966797\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1270.589844\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1334.212891\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1397.835938\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1461.458984\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1525.082031\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_78\"/>\n",
       "    <g id=\"line2d_79\">\n",
       "     <g>\n",
       "      <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#me0d7ebc831\" y=\"69.759375\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_11\">\n",
       "     <!-- milstein: 1.1695384933499011 -->\n",
       "     <defs>\n",
       "      <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "      <path d=\"M 44.28125 53.078125 \n",
       "L 44.28125 44.578125 \n",
       "Q 40.484375 46.53125 36.375 47.5 \n",
       "Q 32.28125 48.484375 27.875 48.484375 \n",
       "Q 21.1875 48.484375 17.84375 46.4375 \n",
       "Q 14.5 44.390625 14.5 40.28125 \n",
       "Q 14.5 37.15625 16.890625 35.375 \n",
       "Q 19.28125 33.59375 26.515625 31.984375 \n",
       "L 29.59375 31.296875 \n",
       "Q 39.15625 29.25 43.1875 25.515625 \n",
       "Q 47.21875 21.78125 47.21875 15.09375 \n",
       "Q 47.21875 7.46875 41.1875 3.015625 \n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \n",
       "Q 10.6875 0.296875 5.421875 2 \n",
       "L 5.421875 11.28125 \n",
       "Q 10.40625 8.6875 15.234375 7.390625 \n",
       "Q 20.0625 6.109375 24.8125 6.109375 \n",
       "Q 31.15625 6.109375 34.5625 8.28125 \n",
       "Q 37.984375 10.453125 37.984375 14.40625 \n",
       "Q 37.984375 18.0625 35.515625 20.015625 \n",
       "Q 33.0625 21.96875 24.703125 23.78125 \n",
       "L 21.578125 24.515625 \n",
       "Q 13.234375 26.265625 9.515625 29.90625 \n",
       "Q 5.8125 33.546875 5.8125 39.890625 \n",
       "Q 5.8125 47.609375 11.28125 51.796875 \n",
       "Q 16.75 56 26.8125 56 \n",
       "Q 31.78125 56 36.171875 55.265625 \n",
       "Q 40.578125 54.546875 44.28125 53.078125 \n",
       "z\n",
       "\" id=\"DejaVuSans-115\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 73.959375)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"125.195312\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.978516\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"205.078125\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"244.287109\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"305.810547\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"333.59375\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"396.972656\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"430.664062\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"462.451172\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"526.074219\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"557.861328\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"621.484375\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"685.107422\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"748.730469\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"812.353516\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"875.976562\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"939.599609\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1003.222656\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1066.845703\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1130.46875\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1194.091797\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1257.714844\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1321.337891\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1384.960938\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1448.583984\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1512.207031\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_80\"/>\n",
       "    <g id=\"line2d_81\">\n",
       "     <g>\n",
       "      <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m2ecfe9601e\" y=\"87.373125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_12\">\n",
       "     <!-- milstein-imp: 1.154736218936907 -->\n",
       "     <g transform=\"translate(416.9 91.573125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"125.195312\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.978516\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"205.078125\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"244.287109\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"305.810547\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"333.59375\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"396.972656\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"433.056641\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"460.839844\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"558.251953\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"621.728516\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"655.419922\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"687.207031\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"750.830078\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"782.617188\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"846.240234\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"909.863281\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"973.486328\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1037.109375\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1100.732422\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1164.355469\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1227.978516\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1291.601562\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1355.224609\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1418.847656\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1482.470703\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1546.09375\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1609.716797\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1673.339844\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_82\"/>\n",
       "    <g id=\"line2d_83\">\n",
       "     <g>\n",
       "      <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"395.3\" xlink:href=\"#meb9faa22e3\" y=\"104.986875\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_13\">\n",
       "     <!-- pc-euler-2: 0.9804437867682709 -->\n",
       "     <g transform=\"translate(416.9 109.186875)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"118.457031\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"154.541016\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"216.064453\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"279.443359\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"307.226562\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"368.75\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"409.769531\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"445.853516\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"509.476562\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"543.167969\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"574.955078\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"638.578125\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"670.365234\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"733.988281\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"797.611328\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"861.234375\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"924.857422\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"988.480469\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1052.103516\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1115.726562\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1179.349609\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1242.972656\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1306.595703\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1370.21875\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1433.841797\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1497.464844\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1561.087891\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1624.710938\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_84\"/>\n",
       "    <g id=\"line2d_85\">\n",
       "     <g>\n",
       "      <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"395.3\" xlink:href=\"#m570551a672\" y=\"122.600625\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_14\">\n",
       "     <!-- explicit1.5: 1.6240237256665866 -->\n",
       "     <defs>\n",
       "      <path d=\"M 54.890625 54.6875 \n",
       "L 35.109375 28.078125 \n",
       "L 55.90625 0 \n",
       "L 45.3125 0 \n",
       "L 29.390625 21.484375 \n",
       "L 13.484375 0 \n",
       "L 2.875 0 \n",
       "L 24.125 28.609375 \n",
       "L 4.6875 54.6875 \n",
       "L 15.28125 54.6875 \n",
       "L 29.78125 35.203125 \n",
       "L 44.28125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-120\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 126.800625)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"61.507812\" xlink:href=\"#DejaVuSans-120\"/>\n",
       "      <use x=\"120.6875\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"184.164062\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"211.947266\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"239.730469\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"294.710938\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"322.494141\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"361.703125\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"425.326172\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"457.113281\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"520.736328\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"554.427734\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"586.214844\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"649.837891\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"681.625\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"745.248047\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"808.871094\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"872.494141\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"936.117188\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"999.740234\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1063.363281\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1126.986328\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1190.609375\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1254.232422\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1317.855469\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1381.478516\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1445.101562\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1508.724609\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1572.347656\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1635.970703\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_86\"/>\n",
       "    <g id=\"line2d_87\">\n",
       "     <g>\n",
       "      <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#me3ab43bc9f\" y=\"140.214375\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_15\">\n",
       "     <!-- taylor1.5: 1.5272222353611469 -->\n",
       "     <defs>\n",
       "      <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 144.414375)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"482.470703\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"514.257812\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"577.880859\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"609.667969\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"673.291016\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"736.914062\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"800.537109\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"864.160156\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"927.783203\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"991.40625\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1055.029297\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1118.652344\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1182.275391\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1245.898438\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1309.521484\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1373.144531\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1436.767578\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1500.390625\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1564.013672\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_88\"/>\n",
       "    <g id=\"line2d_89\">\n",
       "     <g>\n",
       "      <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m5b339df756\" y=\"157.828125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- taylor1.5-imp: 1.455682318846147 -->\n",
       "     <g transform=\"translate(416.9 162.028125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"484.863281\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"512.646484\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"610.058594\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"673.535156\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"707.226562\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"739.013672\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"802.636719\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"834.423828\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"898.046875\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"961.669922\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1025.292969\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1088.916016\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1152.539062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1216.162109\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1279.785156\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1343.408203\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1407.03125\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1470.654297\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1534.277344\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1597.900391\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1661.523438\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1725.146484\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_90\"/>\n",
       "    <g id=\"line2d_91\">\n",
       "     <g>\n",
       "      <use style=\"fill:#17becf;stroke:#17becf;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m6a86dd67ea\" y=\"175.441875\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- taylor2.0: 1.498548897552796 -->\n",
       "     <g transform=\"translate(416.9 179.641875)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"482.470703\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"514.257812\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"577.880859\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"609.667969\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"673.291016\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"736.914062\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"800.537109\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"864.160156\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"927.783203\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"991.40625\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1055.029297\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1118.652344\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1182.275391\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1245.898438\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1309.521484\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1373.144531\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1436.767578\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1500.390625\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_92\"/>\n",
       "    <g id=\"line2d_93\">\n",
       "     <g>\n",
       "      <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"395.3\" xlink:href=\"#m79d117bb48\" y=\"193.055625\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- taylor2.0: 1.5091402760782897 -->\n",
       "     <g transform=\"translate(416.9 197.255625)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"482.470703\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"514.257812\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"577.880859\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"609.667969\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"673.291016\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"736.914062\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"800.537109\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"864.160156\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"927.783203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"991.40625\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1055.029297\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1118.652344\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1182.275391\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1245.898438\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1309.521484\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1373.144531\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1436.767578\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1500.390625\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1564.013672\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_94\">\n",
       "     <path d=\"M 383.3 210.669375 \n",
       "L 407.3 210.669375 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_95\"/>\n",
       "    <g id=\"text_19\">\n",
       "     <!-- $\\propto\\Delta t^{1/2}$ -->\n",
       "     <defs>\n",
       "      <path d=\"M 25.734375 17.71875 \n",
       "Q 33.796875 17.71875 38.625 29.4375 \n",
       "Q 32.421875 42.234375 25.734375 42.234375 \n",
       "Q 20.84375 42.234375 18.359375 38.71875 \n",
       "Q 15.71875 34.96875 15.71875 29.984375 \n",
       "Q 15.71875 24.515625 18.359375 21.140625 \n",
       "Q 21.09375 17.71875 25.734375 17.71875 \n",
       "z\n",
       "M 60.6875 17.625 \n",
       "L 60.6875 11.1875 \n",
       "L 56.9375 11.1875 \n",
       "Q 53.375 11.1875 50.734375 12.640625 \n",
       "Q 48.09375 13.96875 45.5625 17.046875 \n",
       "Q 44.046875 18.796875 41.65625 22.90625 \n",
       "Q 38.375 17.046875 35.5 14.453125 \n",
       "Q 31.9375 11.328125 26.265625 11.328125 \n",
       "Q 19.671875 11.328125 15.328125 16.265625 \n",
       "Q 10.75 21.4375 10.75 29.984375 \n",
       "Q 10.75 38.1875 15.328125 43.75 \n",
       "Q 19.390625 48.6875 26.375 48.6875 \n",
       "Q 29.9375 48.6875 32.5625 47.21875 \n",
       "Q 35.640625 45.609375 37.75 42.828125 \n",
       "Q 39.703125 40.328125 41.65625 36.96875 \n",
       "Q 44.921875 42.828125 47.796875 45.40625 \n",
       "Q 51.375 48.53125 57.03125 48.53125 \n",
       "L 60.6875 48.53125 \n",
       "L 60.6875 42.140625 \n",
       "L 57.5625 42.140625 \n",
       "Q 50.34375 42.140625 44.671875 30.421875 \n",
       "Q 50.875 17.625 57.5625 17.625 \n",
       "z\n",
       "\" id=\"DejaVuSans-8733\"/>\n",
       "      <path d=\"M 34.1875 63.1875 \n",
       "L 14.15625 8.203125 \n",
       "L 54.25 8.203125 \n",
       "z\n",
       "M 0.78125 0 \n",
       "L 28.609375 72.90625 \n",
       "L 39.796875 72.90625 \n",
       "L 67.578125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-916\"/>\n",
       "      <path d=\"M 42.28125 54.6875 \n",
       "L 40.921875 47.703125 \n",
       "L 23 47.703125 \n",
       "L 17.1875 18.015625 \n",
       "Q 16.890625 16.359375 16.75 15.234375 \n",
       "Q 16.609375 14.109375 16.609375 13.484375 \n",
       "Q 16.609375 10.359375 18.484375 8.9375 \n",
       "Q 20.359375 7.515625 24.515625 7.515625 \n",
       "L 33.59375 7.515625 \n",
       "L 32.078125 0 \n",
       "L 23.484375 0 \n",
       "Q 15.484375 0 11.546875 3.125 \n",
       "Q 7.625 6.25 7.625 12.59375 \n",
       "Q 7.625 13.71875 7.765625 15.0625 \n",
       "Q 7.90625 16.40625 8.203125 18.015625 \n",
       "L 14.015625 47.703125 \n",
       "L 6.390625 47.703125 \n",
       "L 7.8125 54.6875 \n",
       "L 15.28125 54.6875 \n",
       "L 18.3125 70.21875 \n",
       "L 27.296875 70.21875 \n",
       "L 24.3125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-116\"/>\n",
       "      <path d=\"M 25.390625 72.90625 \n",
       "L 33.6875 72.90625 \n",
       "L 8.296875 -9.28125 \n",
       "L 0 -9.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-47\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 214.869375)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.765625)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.765625)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.765625)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "      <use transform=\"translate(224.658099 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use transform=\"translate(269.194232 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-47\"/>\n",
       "      <use transform=\"translate(292.745404 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_96\">\n",
       "     <path d=\"M 383.3 228.283125 \n",
       "L 407.3 228.283125 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_97\"/>\n",
       "    <g id=\"text_20\">\n",
       "     <!-- $\\propto\\Delta t$ -->\n",
       "     <g transform=\"translate(416.9 232.483125)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.09375)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.09375)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_98\">\n",
       "     <path d=\"M 383.3 245.896875 \n",
       "L 407.3 245.896875 \n",
       "\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_99\"/>\n",
       "    <g id=\"text_21\">\n",
       "     <!-- $\\propto\\Delta t^{3/2}$ -->\n",
       "     <g transform=\"translate(416.9 250.096875)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.765625)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.765625)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.765625)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "      <use transform=\"translate(224.658099 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use transform=\"translate(269.194232 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-47\"/>\n",
       "      <use transform=\"translate(292.745404 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_100\">\n",
       "     <path d=\"M 383.3 263.510625 \n",
       "L 407.3 263.510625 \n",
       "\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_101\"/>\n",
       "    <g id=\"text_22\">\n",
       "     <!-- $\\propto\\Delta t^{2}$ -->\n",
       "     <g transform=\"translate(416.9 267.710625)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.765625)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.765625)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.765625)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "      <use transform=\"translate(224.658099 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p6815205e29\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"37.7\" y=\"62.824725\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.subplot(111)\n",
    "\n",
    "mark = \"o*vspx+^<>1hdD\"\n",
    "\n",
    "for i,run in enumerate(stat_d1):\n",
    "    ax.loglog(stepsizes, run[0], mark[i], label=run[1]+\": \" + str(run[2]))\n",
    "\n",
    "ax.loglog(stepsizes, 0.1*np.array(stepsizes)**0.5, label=\"$\\propto\\Delta t^{1/2}$\")\n",
    "ax.loglog(stepsizes, 0.05*np.array(stepsizes)**1, label=\"$\\propto\\Delta t$\")\n",
    "ax.loglog(stepsizes, 0.12*np.array(stepsizes)**1.5, label=\"$\\propto\\Delta t^{3/2}$\")\n",
    "ax.loglog(stepsizes, 0.7*np.array(stepsizes)**2.0, label=\"$\\propto\\Delta t^{2}$\")\n",
    "\n",
    "\n",
    "lgd=ax.legend(loc='center left', bbox_to_anchor=(1, 0.64), prop={'size':12})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Both d1 and d2 time-dependent\n",
    "Using a taylor simulation with large nsubsteps instead of analytical solution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total run time:  90.46s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc666e11c50>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "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=\"252.018125pt\" version=\"1.1\" viewBox=\"0 0 388.328125 252.018125\" width=\"388.328125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 252.018125 \n",
       "L 388.328125 252.018125 \n",
       "L 388.328125 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 42.828125 228.14 \n",
       "L 377.628125 228.14 \n",
       "L 377.628125 10.7 \n",
       "L 42.828125 10.7 \n",
       "z\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 \n",
       "L 0 3.5 \n",
       "\" id=\"mb20c464173\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"58.046307\" xlink:href=\"#mb20c464173\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(54.865057 242.738437)scale(0.1 -0.1)\">\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=\"108.77358\" xlink:href=\"#mb20c464173\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(102.41108 242.738437)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=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"159.500852\" xlink:href=\"#mb20c464173\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 40 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(153.138352 242.738437)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 id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"210.228125\" xlink:href=\"#mb20c464173\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 60 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(203.865625 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-54\"/>\n",
       "       <use x=\"63.623047\" 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=\"260.955398\" xlink:href=\"#mb20c464173\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 80 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(254.592898 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-56\"/>\n",
       "       <use x=\"63.623047\" 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=\"311.68267\" xlink:href=\"#mb20c464173\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 100 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(302.13892 242.738437)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=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"362.409943\" xlink:href=\"#mb20c464173\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 120 -->\n",
       "      <g transform=\"translate(352.866193 242.738437)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-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m42a0d59587\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.828125\" xlink:href=\"#m42a0d59587\" y=\"199.692256\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.350 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 203.491475)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.828125\" xlink:href=\"#m42a0d59587\" y=\"169.840819\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0.375 -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 173.640038)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.828125\" xlink:href=\"#m42a0d59587\" y=\"139.989383\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0.400 -->\n",
       "      <g transform=\"translate(7.2 143.788601)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.828125\" xlink:href=\"#m42a0d59587\" y=\"110.137946\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.425 -->\n",
       "      <g transform=\"translate(7.2 113.937165)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.828125\" xlink:href=\"#m42a0d59587\" y=\"80.28651\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0.450 -->\n",
       "      <g transform=\"translate(7.2 84.085728)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.828125\" xlink:href=\"#m42a0d59587\" y=\"50.435073\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 0.475 -->\n",
       "      <g transform=\"translate(7.2 54.234292)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.828125\" xlink:href=\"#m42a0d59587\" y=\"20.583636\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0.500 -->\n",
       "      <g transform=\"translate(7.2 24.382855)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path clip-path=\"url(#p22d5cf59cf)\" d=\"M 58.046307 20.583636 \n",
       "L 60.58267 27.272568 \n",
       "L 63.119034 34.026063 \n",
       "L 65.655398 40.815508 \n",
       "L 68.191761 47.612375 \n",
       "L 70.728125 54.388471 \n",
       "L 73.264489 61.116158 \n",
       "L 75.800852 67.76856 \n",
       "L 78.337216 74.319725 \n",
       "L 80.87358 80.744788 \n",
       "L 83.409943 87.020063 \n",
       "L 85.946307 93.123145 \n",
       "L 88.48267 99.033006 \n",
       "L 91.019034 104.729994 \n",
       "L 93.555398 110.195937 \n",
       "L 96.091761 115.414099 \n",
       "L 98.628125 120.369216 \n",
       "L 101.164489 125.047504 \n",
       "L 103.700852 129.436622 \n",
       "L 106.237216 133.525648 \n",
       "L 108.77358 137.30511 \n",
       "L 111.309943 140.766898 \n",
       "L 113.846307 143.904246 \n",
       "L 116.38267 146.711729 \n",
       "L 118.919034 149.185199 \n",
       "L 121.455398 151.32172 \n",
       "L 123.991761 153.119646 \n",
       "L 126.528125 154.578443 \n",
       "L 129.064489 155.698736 \n",
       "L 131.600852 156.482254 \n",
       "L 134.137216 156.931793 \n",
       "L 136.67358 157.051181 \n",
       "L 139.209943 156.845226 \n",
       "L 141.746307 156.319696 \n",
       "L 144.28267 155.481335 \n",
       "L 146.819034 154.3377 \n",
       "L 149.355398 152.897278 \n",
       "L 151.891761 151.169363 \n",
       "L 154.428125 149.164049 \n",
       "L 156.964489 146.892228 \n",
       "L 159.500852 144.365508 \n",
       "L 162.037216 141.596272 \n",
       "L 164.57358 138.597611 \n",
       "L 167.109943 135.383278 \n",
       "L 169.646307 131.967808 \n",
       "L 172.18267 128.366344 \n",
       "L 174.719034 124.594732 \n",
       "L 177.255398 120.669554 \n",
       "L 179.791761 116.608003 \n",
       "L 182.328125 112.427991 \n",
       "L 184.864489 108.148138 \n",
       "L 187.400852 103.787756 \n",
       "L 189.937216 99.366872 \n",
       "L 192.47358 94.906181 \n",
       "L 195.009943 90.427145 \n",
       "L 197.546307 85.951838 \n",
       "L 200.08267 81.503055 \n",
       "L 202.619034 77.104196 \n",
       "L 205.155398 72.779256 \n",
       "L 207.691761 68.55273 \n",
       "L 210.228125 64.44956 \n",
       "L 212.764489 60.494984 \n",
       "L 215.300852 56.71442 \n",
       "L 217.837216 53.133304 \n",
       "L 220.37358 49.776881 \n",
       "L 222.909943 46.669991 \n",
       "L 225.446307 43.836806 \n",
       "L 227.98267 41.300554 \n",
       "L 230.519034 39.083216 \n",
       "L 233.055398 37.205196 \n",
       "L 235.591761 35.684998 \n",
       "L 238.128125 34.538878 \n",
       "L 240.664489 33.780507 \n",
       "L 243.200852 33.420668 \n",
       "L 245.737216 33.466971 \n",
       "L 248.27358 33.923628 \n",
       "L 250.809943 34.791233 \n",
       "L 253.346307 36.066705 \n",
       "L 255.88267 37.743199 \n",
       "L 258.419034 39.810202 \n",
       "L 260.955398 42.253608 \n",
       "L 263.491761 45.056022 \n",
       "L 266.028125 48.19701 \n",
       "L 268.564489 51.653581 \n",
       "L 271.100852 55.400386 \n",
       "L 273.637216 59.410592 \n",
       "L 276.17358 63.656112 \n",
       "L 278.709943 68.108371 \n",
       "L 281.246307 72.738553 \n",
       "L 283.78267 77.518371 \n",
       "L 286.319034 82.420324 \n",
       "L 288.855398 87.418361 \n",
       "L 291.391761 92.487914 \n",
       "L 293.928125 97.606272 \n",
       "L 296.464489 102.7526 \n",
       "L 299.000852 107.908618 \n",
       "L 301.537216 113.057706 \n",
       "L 304.07358 118.185518 \n",
       "L 306.609943 123.27993 \n",
       "L 309.146307 128.330705 \n",
       "L 311.68267 133.329149 \n",
       "L 314.219034 138.26857 \n",
       "L 316.755398 143.143425 \n",
       "L 319.291761 147.949471 \n",
       "L 321.828125 152.683692 \n",
       "L 324.364489 157.343321 \n",
       "L 326.900852 161.926718 \n",
       "L 329.437216 166.433817 \n",
       "L 331.97358 170.863911 \n",
       "L 334.509943 175.217139 \n",
       "L 337.046307 179.493798 \n",
       "L 339.58267 183.694077 \n",
       "L 342.119034 187.819052 \n",
       "L 344.655398 191.870522 \n",
       "L 347.191761 195.84845 \n",
       "L 349.728125 199.755134 \n",
       "L 352.264489 203.590978 \n",
       "L 354.800852 207.357147 \n",
       "L 357.337216 211.056303 \n",
       "L 359.87358 214.688707 \n",
       "L 362.409943 218.256364 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 42.828125 228.14 \n",
       "L 42.828125 10.7 \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 377.628125 228.14 \n",
       "L 377.628125 10.7 \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 42.828125 228.14 \n",
       "L 377.628125 228.14 \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 42.828125 10.7 \n",
       "L 377.628125 10.7 \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=\"p22d5cf59cf\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"42.828125\" y=\"10.7\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(t, args):\n",
    "    return 0.5+0.25*t-t*t*0.125\n",
    "\n",
    "Nsubs = (15*np.logspace(0,0.8,10)).astype(int)\n",
    "stepsizes = [ddt/j for j in Nsubs] # step size is doubled after each evaluation \n",
    "Nt = len(Nsubs)                    # number of step sizes that we compare\n",
    "Nsubmax = Nsubs[-1]                # Number of intervals for the smallest step size; \n",
    "dtmin = (tlist[1]-tlist[0])/(Nsubmax)\n",
    "\n",
    "sc_op_td = [[sc_op[0],f]]\n",
    "sol = smesolve(H, rho0, tlist, c_op_td, sc_op_td, e_op, nsubsteps=1000, method=\"homodyne\",solver=\"taylor15\")\n",
    "y_btd = sol.expect[1]-sol.expect[0]*sol.expect[0].conj()\n",
    "plt.plot(y_btd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'solver': 'euler-maruyama'}\n",
      "Total run time:   0.24s\n",
      "Total run time:   0.39s\n",
      "Total run time:   0.35s\n",
      "Total run time:   0.43s\n",
      "Total run time:   0.62s\n",
      "Total run time:   0.63s\n",
      "Total run time:   0.79s\n",
      "Total run time:   0.92s\n",
      "Total run time:   1.14s\n",
      "Total run time:   1.38s\n",
      "{'solver': 'platen'}\n",
      "Total run time:   0.55s\n",
      "Total run time:   0.65s\n",
      "Total run time:   0.84s\n",
      "Total run time:   1.28s\n",
      "Total run time:   1.24s\n",
      "Total run time:   1.77s\n",
      "Total run time:   3.18s\n",
      "Total run time:   2.64s\n",
      "Total run time:   4.25s\n",
      "Total run time:   4.50s\n",
      "{'solver': 'pc-euler'}\n",
      "Total run time:   0.39s\n",
      "Total run time:   0.45s\n",
      "Total run time:   0.55s\n",
      "Total run time:   0.67s\n",
      "Total run time:   0.84s\n",
      "Total run time:   1.01s\n",
      "Total run time:   1.28s\n",
      "Total run time:   1.52s\n",
      "Total run time:   1.88s\n",
      "Total run time:   2.65s\n",
      "{'solver': 'milstein'}\n",
      "Total run time:   0.31s\n",
      "Total run time:   0.36s\n",
      "Total run time:   0.43s\n",
      "Total run time:   0.53s\n",
      "Total run time:   0.66s\n",
      "Total run time:   0.79s\n",
      "Total run time:   0.98s\n",
      "Total run time:   1.19s\n",
      "Total run time:   1.67s\n",
      "Total run time:   1.96s\n",
      "{'solver': 'milstein-imp'}\n",
      "Total run time:   1.65s\n",
      "Total run time:   1.97s\n",
      "Total run time:   2.39s\n",
      "Total run time:   2.99s\n",
      "Total run time:   3.64s\n",
      "Total run time:   4.49s\n",
      "Total run time:   5.42s\n",
      "Total run time:   6.54s\n",
      "Total run time:   8.10s\n",
      "Total run time:  10.49s\n",
      "{'solver': 'pc-euler-2'}\n",
      "Total run time:   0.75s\n",
      "Total run time:   0.72s\n",
      "Total run time:   0.95s\n",
      "Total run time:   1.07s\n",
      "Total run time:   1.35s\n",
      "Total run time:   1.63s\n",
      "Total run time:   2.03s\n",
      "Total run time:   2.63s\n",
      "Total run time:   3.05s\n",
      "Total run time:   3.71s\n",
      "{'solver': 'explicit1.5'}\n",
      "Total run time:   1.18s\n",
      "Total run time:   1.45s\n",
      "Total run time:   1.56s\n",
      "Total run time:   1.94s\n",
      "Total run time:   2.40s\n",
      "Total run time:   2.89s\n",
      "Total run time:   3.57s\n",
      "Total run time:   4.35s\n",
      "Total run time:   5.74s\n",
      "Total run time:   7.07s\n",
      "{'solver': 'taylor1.5'}\n",
      "Total run time:   1.02s\n",
      "Total run time:   1.22s\n",
      "Total run time:   1.48s\n",
      "Total run time:   1.81s\n",
      "Total run time:   2.27s\n",
      "Total run time:   2.73s\n",
      "Total run time:   3.39s\n",
      "Total run time:   4.13s\n",
      "Total run time:   5.10s\n",
      "Total run time:   6.24s\n",
      "{'solver': 'taylor1.5-imp', 'args': {'tol': 2e-09}}\n",
      "Total run time:   2.28s\n",
      "Total run time:   2.67s\n",
      "Total run time:   3.40s\n",
      "Total run time:   3.91s\n",
      "Total run time:   4.80s\n",
      "Total run time:   6.62s\n",
      "Total run time:   9.73s\n",
      "Total run time:   9.33s\n",
      "Total run time:  12.57s\n",
      "Total run time:  15.14s\n"
     ]
    }
   ],
   "source": [
    "ntraj = 1\n",
    "\n",
    "def run_(**kwargs):\n",
    "    epsilon = np.zeros(Nt)\n",
    "    std = np.zeros(Nt)\n",
    "    print(kwargs)\n",
    "    for j in range(0,ntraj):\n",
    "        for jj in range(0,Nt):\n",
    "            Nsub = Nsubs[jj]\n",
    "            sol = smesolve(H, rho0, tlist, c_op_td, sc_op_td, e_op, nsubsteps=Nsub, **kwargs)\n",
    "            epsilon_j = 1/T * np.sum(np.abs(y_btd - (sol.expect[1]-sol.expect[0]*sol.expect[0].conj())))*ddt\n",
    "            epsilon[jj] += epsilon_j\n",
    "            std[jj] += epsilon_j\n",
    "    epsilon/= ntraj\n",
    "    std = np.sqrt(1/ntraj * (1/ntraj * std - epsilon**2))\n",
    "    return epsilon\n",
    "\n",
    "def get_stats_d2(**kw):\n",
    "    start = time.time()\n",
    "    y = run_(**kw)\n",
    "    tag = str(kw[\"solver\"])\n",
    "    x = np.log(stepsizes)\n",
    "    ly = np.log(y)\n",
    "    fit = np.polyfit(x, ly, 1)[0]\n",
    "    return y,tag,fit,time.time()-start\n",
    "\n",
    "stats_d2 = []\n",
    "stats_d2.append(get_stats_d2(solver='euler-maruyama'))\n",
    "\n",
    "stats_d2.append(get_stats_d2(solver='platen'))\n",
    "stats_d2.append(get_stats_d2(solver='pc-euler'))\n",
    "stats_d2.append(get_stats_d2(solver='milstein'))\n",
    "stats_d2.append(get_stats_d2(solver='milstein-imp'))\n",
    "stats_d2.append(get_stats_d2(solver='pc-euler-2'))\n",
    "\n",
    "stats_d2.append(get_stats_d2(solver='explicit1.5'))\n",
    "stats_d2.append(get_stats_d2(solver='taylor1.5'))\n",
    "stats_d2.append(get_stats_d2(solver='taylor1.5-imp', args={\"tol\":2e-9}))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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=\"277.722225pt\" version=\"1.1\" viewBox=\"0 0 670.401875 277.722225\" width=\"670.401875pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 277.722225 \n",
       "L 670.401875 277.722225 \n",
       "L 670.401875 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 37.7 253.8441 \n",
       "L 372.5 253.8441 \n",
       "L 372.5 36.4041 \n",
       "L 37.7 36.4041 \n",
       "z\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 \n",
       "L 0 3.5 \n",
       "\" id=\"m774b090e4f\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"157.610589\" xlink:href=\"#m774b090e4f\" y=\"253.8441\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathdefault{10^{-3}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-8722\"/>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(145.860589 268.442538)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 2 \n",
       "\" id=\"m495532fc8a\" style=\"stroke:#000000;stroke-width:0.6;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"42.65654\" xlink:href=\"#m495532fc8a\" y=\"253.8441\"/>\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:0.6;\" x=\"72.89341\" xlink:href=\"#m495532fc8a\" y=\"253.8441\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathdefault{6\\times10^{-4}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "       <path d=\"M 70.125 53.71875 \n",
       "L 47.796875 31.296875 \n",
       "L 70.125 8.984375 \n",
       "L 64.3125 3.078125 \n",
       "L 41.890625 25.484375 \n",
       "L 19.484375 3.078125 \n",
       "L 13.71875 8.984375 \n",
       "L 35.984375 31.296875 \n",
       "L 13.71875 53.71875 \n",
       "L 19.484375 59.625 \n",
       "L 41.890625 37.203125 \n",
       "L 64.3125 59.625 \n",
       "z\n",
       "\" id=\"DejaVuSans-215\"/>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(51.84341 266.842538)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "       <use transform=\"translate(83.105469 0.684375)\" xlink:href=\"#DejaVuSans-215\"/>\n",
       "       <use transform=\"translate(186.376953 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(250 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(314.580078 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(373.232422 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-52\"/>\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:0.6;\" x=\"98.458319\" xlink:href=\"#m495532fc8a\" y=\"253.8441\"/>\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:0.6;\" x=\"120.603651\" xlink:href=\"#m495532fc8a\" y=\"253.8441\"/>\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:0.6;\" x=\"140.137218\" xlink:href=\"#m495532fc8a\" y=\"253.8441\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"272.564639\" xlink:href=\"#m495532fc8a\" y=\"253.8441\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathdefault{2\\times10^{-3}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(251.514639 266.842538)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(83.105469 0.765625)\" xlink:href=\"#DejaVuSans-215\"/>\n",
       "       <use transform=\"translate(186.376953 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(250 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(314.580078 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(373.232422 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"339.808447\" xlink:href=\"#m495532fc8a\" y=\"253.8441\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathdefault{3\\times10^{-3}}$ -->\n",
       "      <g transform=\"translate(318.758447 266.842538)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "       <use transform=\"translate(83.105469 0.765625)\" xlink:href=\"#DejaVuSans-215\"/>\n",
       "       <use transform=\"translate(186.376953 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(250 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(314.580078 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(373.232422 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m95c3380ad6\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#m95c3380ad6\" y=\"240.594831\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathdefault{10^{-6}}$ -->\n",
       "      <g transform=\"translate(7.2 244.39405)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#m95c3380ad6\" y=\"188.937187\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathdefault{10^{-5}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 192.736406)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#m95c3380ad6\" y=\"137.279544\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathdefault{10^{-4}}$ -->\n",
       "      <g transform=\"translate(7.2 141.078762)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#m95c3380ad6\" y=\"85.6219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathdefault{10^{-3}}$ -->\n",
       "      <g transform=\"translate(7.2 89.421119)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -2 0 \n",
       "\" id=\"m4231938b31\" style=\"stroke:#000000;stroke-width:0.6;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"252.055014\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"248.596701\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"245.600974\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"242.958555\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"225.044331\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"215.947871\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"209.49383\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"204.487687\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"200.397371\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"196.939057\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_15\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"193.94333\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_16\">\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"191.300911\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_17\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"173.386687\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_18\">\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"164.290228\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_19\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"157.836187\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_20\">\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"152.830044\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_21\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"148.739727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_22\">\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"145.281414\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_23\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"142.285687\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_24\">\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"139.643268\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_25\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"121.729043\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_26\">\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"112.632584\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_27\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"106.178543\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_28\">\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"101.1724\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_29\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"97.082084\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_30\">\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"93.62377\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_31\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"90.628043\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_32\">\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"87.985624\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_33\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"70.0714\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_34\">\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"60.97494\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_35\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"54.5209\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_36\">\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"49.514757\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_37\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"45.42444\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_38\">\n",
       "     <g id=\"line2d_46\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"41.966127\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_39\">\n",
       "     <g id=\"line2d_47\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"38.970399\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_40\">\n",
       "     <g id=\"line2d_48\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m4231938b31\" y=\"36.327981\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_49\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"m956cfde991\" style=\"stroke:#1f77b4;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pcc81038487)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"357.281818\" xlink:href=\"#m956cfde991\" y=\"58.317074\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"327.044948\" xlink:href=\"#m956cfde991\" y=\"55.475691\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"293.76499\" xlink:href=\"#m956cfde991\" y=\"50.457449\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"259.80114\" xlink:href=\"#m956cfde991\" y=\"58.200736\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"221.570258\" xlink:href=\"#m956cfde991\" y=\"57.992421\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"190.522415\" xlink:href=\"#m956cfde991\" y=\"70.744518\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"154.32645\" xlink:href=\"#m956cfde991\" y=\"71.046722\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"121.935736\" xlink:href=\"#m956cfde991\" y=\"75.569145\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"86.002223\" xlink:href=\"#m956cfde991\" y=\"74.906327\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"52.918182\" xlink:href=\"#m956cfde991\" y=\"76.316119\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_50\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -0.673542 -0.927051 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.089814 0.354102 \n",
       "L -1.763356 2.427051 \n",
       "L -0 1.145898 \n",
       "L 1.763356 2.427051 \n",
       "L 1.089814 0.354102 \n",
       "L 2.85317 -0.927051 \n",
       "L 0.673542 -0.927051 \n",
       "z\n",
       "\" id=\"m091b7672d9\" style=\"stroke:#ff7f0e;stroke-linejoin:bevel;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pcc81038487)\">\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"357.281818\" xlink:href=\"#m091b7672d9\" y=\"135.252027\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"327.044948\" xlink:href=\"#m091b7672d9\" y=\"139.047311\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"293.76499\" xlink:href=\"#m091b7672d9\" y=\"140.457436\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"259.80114\" xlink:href=\"#m091b7672d9\" y=\"138.469166\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"221.570258\" xlink:href=\"#m091b7672d9\" y=\"142.043589\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"190.522415\" xlink:href=\"#m091b7672d9\" y=\"157.804734\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"154.32645\" xlink:href=\"#m091b7672d9\" y=\"160.731406\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"121.935736\" xlink:href=\"#m091b7672d9\" y=\"161.083097\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"86.002223\" xlink:href=\"#m091b7672d9\" y=\"169.334977\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"52.918182\" xlink:href=\"#m091b7672d9\" y=\"177.009385\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_51\">\n",
       "    <defs>\n",
       "     <path d=\"M -0 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"mf691150b53\" style=\"stroke:#2ca02c;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pcc81038487)\">\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#mf691150b53\" y=\"123.871007\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"327.044948\" xlink:href=\"#mf691150b53\" y=\"134.572003\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"293.76499\" xlink:href=\"#mf691150b53\" y=\"131.821577\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"259.80114\" xlink:href=\"#mf691150b53\" y=\"140.985782\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"221.570258\" xlink:href=\"#mf691150b53\" y=\"147.257727\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"190.522415\" xlink:href=\"#mf691150b53\" y=\"149.518785\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"154.32645\" xlink:href=\"#mf691150b53\" y=\"146.184146\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"121.935736\" xlink:href=\"#mf691150b53\" y=\"156.422306\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"86.002223\" xlink:href=\"#mf691150b53\" y=\"159.473405\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#mf691150b53\" y=\"160.411059\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_52\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"m9de4d61c68\" style=\"stroke:#d62728;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pcc81038487)\">\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m9de4d61c68\" y=\"119.459751\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"327.044948\" xlink:href=\"#m9de4d61c68\" y=\"122.368568\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"293.76499\" xlink:href=\"#m9de4d61c68\" y=\"132.977365\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"259.80114\" xlink:href=\"#m9de4d61c68\" y=\"133.215299\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"221.570258\" xlink:href=\"#m9de4d61c68\" y=\"141.796536\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"190.522415\" xlink:href=\"#m9de4d61c68\" y=\"150.016196\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"154.32645\" xlink:href=\"#m9de4d61c68\" y=\"142.697363\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"121.935736\" xlink:href=\"#m9de4d61c68\" y=\"141.488258\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"86.002223\" xlink:href=\"#m9de4d61c68\" y=\"160.859783\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m9de4d61c68\" y=\"161.696331\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_53\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.763356 2.427051 \n",
       "L 1.763356 2.427051 \n",
       "L 2.85317 -0.927051 \n",
       "z\n",
       "\" id=\"m2e0dac32b3\" style=\"stroke:#9467bd;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pcc81038487)\">\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m2e0dac32b3\" y=\"114.618814\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"327.044948\" xlink:href=\"#m2e0dac32b3\" y=\"128.660292\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"293.76499\" xlink:href=\"#m2e0dac32b3\" y=\"142.045865\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"259.80114\" xlink:href=\"#m2e0dac32b3\" y=\"151.616794\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"221.570258\" xlink:href=\"#m2e0dac32b3\" y=\"153.214616\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"190.522415\" xlink:href=\"#m2e0dac32b3\" y=\"155.678308\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"154.32645\" xlink:href=\"#m2e0dac32b3\" y=\"159.879398\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"121.935736\" xlink:href=\"#m2e0dac32b3\" y=\"168.753135\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"86.002223\" xlink:href=\"#m2e0dac32b3\" y=\"163.814498\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m2e0dac32b3\" y=\"165.516218\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_54\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 -3 \n",
       "M -3 -3 \n",
       "L 3 3 \n",
       "\" id=\"m44795477f4\" style=\"stroke:#8c564b;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pcc81038487)\">\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"357.281818\" xlink:href=\"#m44795477f4\" y=\"116.281936\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"327.044948\" xlink:href=\"#m44795477f4\" y=\"118.103678\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"293.76499\" xlink:href=\"#m44795477f4\" y=\"117.71921\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"259.80114\" xlink:href=\"#m44795477f4\" y=\"127.743533\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"221.570258\" xlink:href=\"#m44795477f4\" y=\"126.909142\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"190.522415\" xlink:href=\"#m44795477f4\" y=\"140.80189\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"154.32645\" xlink:href=\"#m44795477f4\" y=\"145.116875\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"121.935736\" xlink:href=\"#m44795477f4\" y=\"141.253868\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"86.002223\" xlink:href=\"#m44795477f4\" y=\"148.876002\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"52.918182\" xlink:href=\"#m44795477f4\" y=\"156.767309\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_55\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 0 \n",
       "L 3 0 \n",
       "M 0 3 \n",
       "L 0 -3 \n",
       "\" id=\"m0b6b0bd0af\" style=\"stroke:#e377c2;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pcc81038487)\">\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"357.281818\" xlink:href=\"#m0b6b0bd0af\" y=\"165.397519\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"327.044948\" xlink:href=\"#m0b6b0bd0af\" y=\"178.778169\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"293.76499\" xlink:href=\"#m0b6b0bd0af\" y=\"185.758635\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"259.80114\" xlink:href=\"#m0b6b0bd0af\" y=\"194.79684\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"221.570258\" xlink:href=\"#m0b6b0bd0af\" y=\"200.317825\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"190.522415\" xlink:href=\"#m0b6b0bd0af\" y=\"200.921338\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"154.32645\" xlink:href=\"#m0b6b0bd0af\" y=\"212.809199\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"121.935736\" xlink:href=\"#m0b6b0bd0af\" y=\"207.461577\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"86.002223\" xlink:href=\"#m0b6b0bd0af\" y=\"217.752742\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"52.918182\" xlink:href=\"#m0b6b0bd0af\" y=\"232.513299\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_56\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -3 3 \n",
       "L 3 3 \n",
       "z\n",
       "\" id=\"m7bf7b573b8\" style=\"stroke:#7f7f7f;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pcc81038487)\">\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m7bf7b573b8\" y=\"154.105959\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"327.044948\" xlink:href=\"#m7bf7b573b8\" y=\"172.353561\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"293.76499\" xlink:href=\"#m7bf7b573b8\" y=\"183.092451\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"259.80114\" xlink:href=\"#m7bf7b573b8\" y=\"183.88341\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"221.570258\" xlink:href=\"#m7bf7b573b8\" y=\"192.625844\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"190.522415\" xlink:href=\"#m7bf7b573b8\" y=\"200.889133\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"154.32645\" xlink:href=\"#m7bf7b573b8\" y=\"204.624762\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"121.935736\" xlink:href=\"#m7bf7b573b8\" y=\"212.069015\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"86.002223\" xlink:href=\"#m7bf7b573b8\" y=\"221.816771\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m7bf7b573b8\" y=\"236.669005\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_57\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 -0 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "z\n",
       "\" id=\"m6343abefd4\" style=\"stroke:#bcbd22;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pcc81038487)\">\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m6343abefd4\" y=\"178.112846\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"327.044948\" xlink:href=\"#m6343abefd4\" y=\"183.897504\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"293.76499\" xlink:href=\"#m6343abefd4\" y=\"190.415729\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"259.80114\" xlink:href=\"#m6343abefd4\" y=\"199.288038\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"221.570258\" xlink:href=\"#m6343abefd4\" y=\"207.929244\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"190.522415\" xlink:href=\"#m6343abefd4\" y=\"215.630463\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"154.32645\" xlink:href=\"#m6343abefd4\" y=\"224.299131\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"121.935736\" xlink:href=\"#m6343abefd4\" y=\"232.062212\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"86.002223\" xlink:href=\"#m6343abefd4\" y=\"232.797124\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m6343abefd4\" y=\"243.960464\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_58\">\n",
       "    <path clip-path=\"url(#pcc81038487)\" d=\"M 357.281818 46.287736 \n",
       "L 327.044948 48.332895 \n",
       "L 293.76499 50.583881 \n",
       "L 259.80114 52.881124 \n",
       "L 221.570258 55.466981 \n",
       "L 190.522415 57.566992 \n",
       "L 154.32645 60.015211 \n",
       "L 121.935736 62.20605 \n",
       "L 86.002223 64.636518 \n",
       "L 52.918182 66.874253 \n",
       "\" style=\"fill:none;stroke:#17becf;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_59\">\n",
       "    <path clip-path=\"url(#pcc81038487)\" d=\"M 357.281818 125.81936 \n",
       "L 327.044948 129.909677 \n",
       "L 293.76499 134.411649 \n",
       "L 259.80114 139.006136 \n",
       "L 221.570258 144.177849 \n",
       "L 190.522415 148.377871 \n",
       "L 154.32645 153.274308 \n",
       "L 121.935736 157.655988 \n",
       "L 86.002223 162.516922 \n",
       "L 52.918182 166.992392 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_60\">\n",
       "    <path clip-path=\"url(#pcc81038487)\" d=\"M 357.281818 174.249983 \n",
       "L 327.044948 180.385458 \n",
       "L 293.76499 187.138417 \n",
       "L 259.80114 194.030147 \n",
       "L 221.570258 201.787717 \n",
       "L 190.522415 208.087749 \n",
       "L 154.32645 215.432406 \n",
       "L 121.935736 222.004925 \n",
       "L 86.002223 229.296327 \n",
       "L 52.918182 236.009532 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 37.7 253.8441 \n",
       "L 37.7 36.4041 \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 372.5 253.8441 \n",
       "L 372.5 36.4041 \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 37.7 253.8441 \n",
       "L 372.5 253.8441 \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 37.7 36.4041 \n",
       "L 372.5 36.4041 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 380.9 222.165 \n",
       "L 660.801875 222.165 \n",
       "Q 663.201875 222.165 663.201875 219.765 \n",
       "L 663.201875 9.6 \n",
       "Q 663.201875 7.2 660.801875 7.2 \n",
       "L 380.9 7.2 \n",
       "Q 378.5 7.2 378.5 9.6 \n",
       "L 378.5 219.765 \n",
       "Q 378.5 222.165 380.9 222.165 \n",
       "z\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_61\"/>\n",
       "    <g id=\"line2d_62\">\n",
       "     <g>\n",
       "      <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"395.3\" xlink:href=\"#m956cfde991\" y=\"16.918125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_9\">\n",
       "     <!-- euler-maruyama: 0.6244852152204812 -->\n",
       "     <defs>\n",
       "      <path d=\"M 56.203125 29.59375 \n",
       "L 56.203125 25.203125 \n",
       "L 14.890625 25.203125 \n",
       "Q 15.484375 15.921875 20.484375 11.0625 \n",
       "Q 25.484375 6.203125 34.421875 6.203125 \n",
       "Q 39.59375 6.203125 44.453125 7.46875 \n",
       "Q 49.3125 8.734375 54.109375 11.28125 \n",
       "L 54.109375 2.78125 \n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \n",
       "Q 5.515625 13.8125 5.515625 26.8125 \n",
       "Q 5.515625 40.234375 12.765625 48.109375 \n",
       "Q 20.015625 56 32.328125 56 \n",
       "Q 43.359375 56 49.78125 48.890625 \n",
       "Q 56.203125 41.796875 56.203125 29.59375 \n",
       "z\n",
       "M 47.21875 32.234375 \n",
       "Q 47.125 39.59375 43.09375 43.984375 \n",
       "Q 39.0625 48.390625 32.421875 48.390625 \n",
       "Q 24.90625 48.390625 20.390625 44.140625 \n",
       "Q 15.875 39.890625 15.1875 32.171875 \n",
       "z\n",
       "\" id=\"DejaVuSans-101\"/>\n",
       "      <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "      <path d=\"M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-108\"/>\n",
       "      <path d=\"M 41.109375 46.296875 \n",
       "Q 39.59375 47.171875 37.8125 47.578125 \n",
       "Q 36.03125 48 33.890625 48 \n",
       "Q 26.265625 48 22.1875 43.046875 \n",
       "Q 18.109375 38.09375 18.109375 28.8125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 20.953125 51.171875 25.484375 53.578125 \n",
       "Q 30.03125 56 36.53125 56 \n",
       "Q 37.453125 56 38.578125 55.875 \n",
       "Q 39.703125 55.765625 41.0625 55.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-114\"/>\n",
       "      <path d=\"M 4.890625 31.390625 \n",
       "L 31.203125 31.390625 \n",
       "L 31.203125 23.390625 \n",
       "L 4.890625 23.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-45\"/>\n",
       "      <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "      <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "      <path d=\"M 32.171875 -5.078125 \n",
       "Q 28.375 -14.84375 24.75 -17.8125 \n",
       "Q 21.140625 -20.796875 15.09375 -20.796875 \n",
       "L 7.90625 -20.796875 \n",
       "L 7.90625 -13.28125 \n",
       "L 13.1875 -13.28125 \n",
       "Q 16.890625 -13.28125 18.9375 -11.515625 \n",
       "Q 21 -9.765625 23.484375 -3.21875 \n",
       "L 25.09375 0.875 \n",
       "L 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 11.921875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-121\"/>\n",
       "      <path d=\"M 11.71875 12.40625 \n",
       "L 22.015625 12.40625 \n",
       "L 22.015625 0 \n",
       "L 11.71875 0 \n",
       "z\n",
       "M 11.71875 51.703125 \n",
       "L 22.015625 51.703125 \n",
       "L 22.015625 39.3125 \n",
       "L 11.71875 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-58\"/>\n",
       "      <path id=\"DejaVuSans-32\"/>\n",
       "      <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "      <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 21.118125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"61.523438\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"124.902344\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.685547\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"214.208984\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"255.228516\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"291.3125\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"388.724609\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"450.003906\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"491.117188\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"554.496094\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"613.675781\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"674.955078\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"772.367188\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"833.646484\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"867.337891\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"899.125\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"962.748047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"994.535156\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1058.158203\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1121.78125\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1185.404297\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1249.027344\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1312.650391\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1376.273438\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1439.896484\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1503.519531\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1567.142578\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1630.765625\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1694.388672\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1758.011719\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1821.634766\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1885.257812\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1948.880859\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_63\"/>\n",
       "    <g id=\"line2d_64\">\n",
       "     <g>\n",
       "      <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"395.3\" xlink:href=\"#m091b7672d9\" y=\"34.531875\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_10\">\n",
       "     <!-- platen: 1.0153636057792697 -->\n",
       "     <defs>\n",
       "      <path d=\"M 18.109375 8.203125 \n",
       "L 18.109375 -20.796875 \n",
       "L 9.078125 -20.796875 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.390625 \n",
       "Q 20.953125 51.265625 25.265625 53.625 \n",
       "Q 29.59375 56 35.59375 56 \n",
       "Q 45.5625 56 51.78125 48.09375 \n",
       "Q 58.015625 40.1875 58.015625 27.296875 \n",
       "Q 58.015625 14.40625 51.78125 6.484375 \n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \n",
       "Q 20.953125 3.328125 18.109375 8.203125 \n",
       "z\n",
       "M 48.6875 27.296875 \n",
       "Q 48.6875 37.203125 44.609375 42.84375 \n",
       "Q 40.53125 48.484375 33.40625 48.484375 \n",
       "Q 26.265625 48.484375 22.1875 42.84375 \n",
       "Q 18.109375 37.203125 18.109375 27.296875 \n",
       "Q 18.109375 17.390625 22.1875 11.75 \n",
       "Q 26.265625 6.109375 33.40625 6.109375 \n",
       "Q 40.53125 6.109375 44.609375 11.75 \n",
       "Q 48.6875 17.390625 48.6875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-112\"/>\n",
       "      <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "      <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "      <path d=\"M 10.984375 1.515625 \n",
       "L 10.984375 10.5 \n",
       "Q 14.703125 8.734375 18.5 7.8125 \n",
       "Q 22.3125 6.890625 25.984375 6.890625 \n",
       "Q 35.75 6.890625 40.890625 13.453125 \n",
       "Q 46.046875 20.015625 46.78125 33.40625 \n",
       "Q 43.953125 29.203125 39.59375 26.953125 \n",
       "Q 35.25 24.703125 29.984375 24.703125 \n",
       "Q 19.046875 24.703125 12.671875 31.3125 \n",
       "Q 6.296875 37.9375 6.296875 49.421875 \n",
       "Q 6.296875 60.640625 12.9375 67.421875 \n",
       "Q 19.578125 74.21875 30.609375 74.21875 \n",
       "Q 43.265625 74.21875 49.921875 64.515625 \n",
       "Q 56.59375 54.828125 56.59375 36.375 \n",
       "Q 56.59375 19.140625 48.40625 8.859375 \n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \n",
       "Q 15.09375 0.046875 10.984375 1.515625 \n",
       "z\n",
       "M 30.609375 32.421875 \n",
       "Q 37.25 32.421875 41.125 36.953125 \n",
       "Q 45.015625 41.5 45.015625 49.421875 \n",
       "Q 45.015625 57.28125 41.125 61.84375 \n",
       "Q 37.25 66.40625 30.609375 66.40625 \n",
       "Q 23.96875 66.40625 20.09375 61.84375 \n",
       "Q 16.21875 57.28125 16.21875 49.421875 \n",
       "Q 16.21875 41.5 20.09375 36.953125 \n",
       "Q 23.96875 32.421875 30.609375 32.421875 \n",
       "z\n",
       "\" id=\"DejaVuSans-57\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 38.731875)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"91.259766\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"152.539062\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"191.748047\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"253.271484\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"316.650391\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"350.341797\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"382.128906\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"445.751953\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"477.539062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"541.162109\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"604.785156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"668.408203\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"732.03125\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"795.654297\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"859.277344\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"922.900391\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"986.523438\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1050.146484\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1113.769531\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1177.392578\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1241.015625\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1304.638672\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1368.261719\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1431.884766\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_65\"/>\n",
       "    <g id=\"line2d_66\">\n",
       "     <g>\n",
       "      <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#mf691150b53\" y=\"52.145625\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_11\">\n",
       "     <!-- pc-euler: 0.8441477674119041 -->\n",
       "     <defs>\n",
       "      <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 56.345625)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"118.457031\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"154.541016\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"216.064453\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"279.443359\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"307.226562\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"368.75\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"409.847656\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"443.539062\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"475.326172\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"538.949219\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"570.736328\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"634.359375\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"697.982422\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"761.605469\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"825.228516\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"888.851562\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"952.474609\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1016.097656\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1079.720703\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1143.34375\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1206.966797\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1270.589844\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1334.212891\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1397.835938\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1461.458984\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1525.082031\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_67\"/>\n",
       "    <g id=\"line2d_68\">\n",
       "     <g>\n",
       "      <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m9de4d61c68\" y=\"69.759375\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_12\">\n",
       "     <!-- milstein: 0.9562538743311928 -->\n",
       "     <defs>\n",
       "      <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "      <path d=\"M 44.28125 53.078125 \n",
       "L 44.28125 44.578125 \n",
       "Q 40.484375 46.53125 36.375 47.5 \n",
       "Q 32.28125 48.484375 27.875 48.484375 \n",
       "Q 21.1875 48.484375 17.84375 46.4375 \n",
       "Q 14.5 44.390625 14.5 40.28125 \n",
       "Q 14.5 37.15625 16.890625 35.375 \n",
       "Q 19.28125 33.59375 26.515625 31.984375 \n",
       "L 29.59375 31.296875 \n",
       "Q 39.15625 29.25 43.1875 25.515625 \n",
       "Q 47.21875 21.78125 47.21875 15.09375 \n",
       "Q 47.21875 7.46875 41.1875 3.015625 \n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \n",
       "Q 10.6875 0.296875 5.421875 2 \n",
       "L 5.421875 11.28125 \n",
       "Q 10.40625 8.6875 15.234375 7.390625 \n",
       "Q 20.0625 6.109375 24.8125 6.109375 \n",
       "Q 31.15625 6.109375 34.5625 8.28125 \n",
       "Q 37.984375 10.453125 37.984375 14.40625 \n",
       "Q 37.984375 18.0625 35.515625 20.015625 \n",
       "Q 33.0625 21.96875 24.703125 23.78125 \n",
       "L 21.578125 24.515625 \n",
       "Q 13.234375 26.265625 9.515625 29.90625 \n",
       "Q 5.8125 33.546875 5.8125 39.890625 \n",
       "Q 5.8125 47.609375 11.28125 51.796875 \n",
       "Q 16.75 56 26.8125 56 \n",
       "Q 31.78125 56 36.171875 55.265625 \n",
       "Q 40.578125 54.546875 44.28125 53.078125 \n",
       "z\n",
       "\" id=\"DejaVuSans-115\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 73.959375)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"125.195312\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.978516\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"205.078125\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"244.287109\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"305.810547\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"333.59375\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"396.972656\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"430.664062\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"462.451172\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"526.074219\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"557.861328\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"621.484375\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"685.107422\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"748.730469\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"812.353516\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"875.976562\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"939.599609\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1003.222656\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1066.845703\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1130.46875\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1194.091797\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1257.714844\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1321.337891\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1384.960938\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1448.583984\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1512.207031\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_69\"/>\n",
       "    <g id=\"line2d_70\">\n",
       "     <g>\n",
       "      <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m2e0dac32b3\" y=\"87.373125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_13\">\n",
       "     <!-- milstein-imp: 1.1302627124786737 -->\n",
       "     <g transform=\"translate(416.9 91.573125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"125.195312\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.978516\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"205.078125\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"244.287109\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"305.810547\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"333.59375\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"396.972656\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"433.056641\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"460.839844\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"558.251953\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"621.728516\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"655.419922\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"687.207031\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"750.830078\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"782.617188\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"846.240234\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"909.863281\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"973.486328\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1037.109375\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1100.732422\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1164.355469\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1227.978516\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1291.601562\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1355.224609\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1418.847656\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1482.470703\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1546.09375\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1609.716797\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1673.339844\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1736.962891\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_71\"/>\n",
       "    <g id=\"line2d_72\">\n",
       "     <g>\n",
       "      <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"395.3\" xlink:href=\"#m44795477f4\" y=\"104.986875\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_14\">\n",
       "     <!-- pc-euler-2: 1.0021990278535449 -->\n",
       "     <g transform=\"translate(416.9 109.186875)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"118.457031\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"154.541016\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"216.064453\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"279.443359\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"307.226562\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"368.75\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"409.769531\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"445.853516\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"509.476562\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"543.167969\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"574.955078\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"638.578125\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"670.365234\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"733.988281\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"797.611328\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"861.234375\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"924.857422\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"988.480469\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1052.103516\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1115.726562\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1179.349609\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1242.972656\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1306.595703\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1370.21875\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1433.841797\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1497.464844\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1561.087891\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1624.710938\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_73\"/>\n",
       "    <g id=\"line2d_74\">\n",
       "     <g>\n",
       "      <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"395.3\" xlink:href=\"#m0b6b0bd0af\" y=\"122.600625\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_15\">\n",
       "     <!-- explicit1.5: 1.3632146727141918 -->\n",
       "     <defs>\n",
       "      <path d=\"M 54.890625 54.6875 \n",
       "L 35.109375 28.078125 \n",
       "L 55.90625 0 \n",
       "L 45.3125 0 \n",
       "L 29.390625 21.484375 \n",
       "L 13.484375 0 \n",
       "L 2.875 0 \n",
       "L 24.125 28.609375 \n",
       "L 4.6875 54.6875 \n",
       "L 15.28125 54.6875 \n",
       "L 29.78125 35.203125 \n",
       "L 44.28125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-120\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 126.800625)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"61.507812\" xlink:href=\"#DejaVuSans-120\"/>\n",
       "      <use x=\"120.6875\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"184.164062\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"211.947266\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"239.730469\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"294.710938\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"322.494141\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"361.703125\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"425.326172\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"457.113281\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"520.736328\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"554.427734\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"586.214844\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"649.837891\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"681.625\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"745.248047\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"808.871094\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"872.494141\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"936.117188\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"999.740234\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1063.363281\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1126.986328\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1190.609375\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1254.232422\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1317.855469\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1381.478516\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1445.101562\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1508.724609\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1572.347656\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1635.970703\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_75\"/>\n",
       "    <g id=\"line2d_76\">\n",
       "     <g>\n",
       "      <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m7bf7b573b8\" y=\"140.214375\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- taylor1.5: 1.7088136631444493 -->\n",
       "     <defs>\n",
       "      <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 144.414375)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"482.470703\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"514.257812\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"577.880859\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"609.667969\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"673.291016\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"736.914062\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"800.537109\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"864.160156\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"927.783203\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"991.40625\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1055.029297\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1118.652344\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1182.275391\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1245.898438\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1309.521484\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1373.144531\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1436.767578\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1500.390625\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1564.013672\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_77\"/>\n",
       "    <g id=\"line2d_78\">\n",
       "     <g>\n",
       "      <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m6343abefd4\" y=\"157.828125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- taylor1.5-imp: 1.6085934845311947 -->\n",
       "     <g transform=\"translate(416.9 162.028125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"484.863281\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"512.646484\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"610.058594\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"673.535156\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"707.226562\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"739.013672\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"802.636719\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"834.423828\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"898.046875\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"961.669922\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1025.292969\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1088.916016\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1152.539062\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1216.162109\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1279.785156\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1343.408203\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1407.03125\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1470.654297\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1534.277344\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1597.900391\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1661.523438\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1725.146484\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1788.769531\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_79\">\n",
       "     <path d=\"M 383.3 175.441875 \n",
       "L 407.3 175.441875 \n",
       "\" style=\"fill:none;stroke:#17becf;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_80\"/>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- $\\propto\\Delta t^{1/2}$ -->\n",
       "     <defs>\n",
       "      <path d=\"M 25.734375 17.71875 \n",
       "Q 33.796875 17.71875 38.625 29.4375 \n",
       "Q 32.421875 42.234375 25.734375 42.234375 \n",
       "Q 20.84375 42.234375 18.359375 38.71875 \n",
       "Q 15.71875 34.96875 15.71875 29.984375 \n",
       "Q 15.71875 24.515625 18.359375 21.140625 \n",
       "Q 21.09375 17.71875 25.734375 17.71875 \n",
       "z\n",
       "M 60.6875 17.625 \n",
       "L 60.6875 11.1875 \n",
       "L 56.9375 11.1875 \n",
       "Q 53.375 11.1875 50.734375 12.640625 \n",
       "Q 48.09375 13.96875 45.5625 17.046875 \n",
       "Q 44.046875 18.796875 41.65625 22.90625 \n",
       "Q 38.375 17.046875 35.5 14.453125 \n",
       "Q 31.9375 11.328125 26.265625 11.328125 \n",
       "Q 19.671875 11.328125 15.328125 16.265625 \n",
       "Q 10.75 21.4375 10.75 29.984375 \n",
       "Q 10.75 38.1875 15.328125 43.75 \n",
       "Q 19.390625 48.6875 26.375 48.6875 \n",
       "Q 29.9375 48.6875 32.5625 47.21875 \n",
       "Q 35.640625 45.609375 37.75 42.828125 \n",
       "Q 39.703125 40.328125 41.65625 36.96875 \n",
       "Q 44.921875 42.828125 47.796875 45.40625 \n",
       "Q 51.375 48.53125 57.03125 48.53125 \n",
       "L 60.6875 48.53125 \n",
       "L 60.6875 42.140625 \n",
       "L 57.5625 42.140625 \n",
       "Q 50.34375 42.140625 44.671875 30.421875 \n",
       "Q 50.875 17.625 57.5625 17.625 \n",
       "z\n",
       "\" id=\"DejaVuSans-8733\"/>\n",
       "      <path d=\"M 34.1875 63.1875 \n",
       "L 14.15625 8.203125 \n",
       "L 54.25 8.203125 \n",
       "z\n",
       "M 0.78125 0 \n",
       "L 28.609375 72.90625 \n",
       "L 39.796875 72.90625 \n",
       "L 67.578125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-916\"/>\n",
       "      <path d=\"M 42.28125 54.6875 \n",
       "L 40.921875 47.703125 \n",
       "L 23 47.703125 \n",
       "L 17.1875 18.015625 \n",
       "Q 16.890625 16.359375 16.75 15.234375 \n",
       "Q 16.609375 14.109375 16.609375 13.484375 \n",
       "Q 16.609375 10.359375 18.484375 8.9375 \n",
       "Q 20.359375 7.515625 24.515625 7.515625 \n",
       "L 33.59375 7.515625 \n",
       "L 32.078125 0 \n",
       "L 23.484375 0 \n",
       "Q 15.484375 0 11.546875 3.125 \n",
       "Q 7.625 6.25 7.625 12.59375 \n",
       "Q 7.625 13.71875 7.765625 15.0625 \n",
       "Q 7.90625 16.40625 8.203125 18.015625 \n",
       "L 14.015625 47.703125 \n",
       "L 6.390625 47.703125 \n",
       "L 7.8125 54.6875 \n",
       "L 15.28125 54.6875 \n",
       "L 18.3125 70.21875 \n",
       "L 27.296875 70.21875 \n",
       "L 24.3125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-116\"/>\n",
       "      <path d=\"M 25.390625 72.90625 \n",
       "L 33.6875 72.90625 \n",
       "L 8.296875 -9.28125 \n",
       "L 0 -9.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-47\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 179.641875)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.765625)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.765625)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.765625)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "      <use transform=\"translate(224.658099 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use transform=\"translate(269.194232 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-47\"/>\n",
       "      <use transform=\"translate(292.745404 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_81\">\n",
       "     <path d=\"M 383.3 193.055625 \n",
       "L 407.3 193.055625 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_82\"/>\n",
       "    <g id=\"text_19\">\n",
       "     <!-- $\\propto\\Delta t$ -->\n",
       "     <g transform=\"translate(416.9 197.255625)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.09375)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.09375)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_83\">\n",
       "     <path d=\"M 383.3 210.669375 \n",
       "L 407.3 210.669375 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_84\"/>\n",
       "    <g id=\"text_20\">\n",
       "     <!-- $\\propto\\Delta t^{3/2}$ -->\n",
       "     <g transform=\"translate(416.9 214.869375)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.765625)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.765625)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.765625)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "      <use transform=\"translate(224.658099 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use transform=\"translate(269.194232 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-47\"/>\n",
       "      <use transform=\"translate(292.745404 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pcc81038487\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"37.7\" y=\"36.4041\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.subplot(111)\n",
    "\n",
    "mark = \"o*vspx+^<>1hdD\"\n",
    "\n",
    "for i,run in enumerate(stats_d2):\n",
    "    ax.loglog(stepsizes, run[0], mark[i], label=run[1]+\": \" + str(run[2]))\n",
    "\n",
    "ax.loglog(stepsizes, 0.1*np.array(stepsizes)**0.5, label=\"$\\propto\\Delta t^{1/2}$\")\n",
    "ax.loglog(stepsizes, 0.05*np.array(stepsizes)**1, label=\"$\\propto\\Delta t$\")\n",
    "ax.loglog(stepsizes, 0.1*np.array(stepsizes)**1.5, label=\"$\\propto\\Delta t^{3/2}$\")\n",
    "\n",
    "\n",
    "lgd=ax.legend(loc='center left', bbox_to_anchor=(1, 0.64), prop={'size':12})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multiple sc_ops with time dependence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total run time: 160.70s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc666eb9470>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "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=\"252.018125pt\" version=\"1.1\" viewBox=\"0 0 381.965625 252.018125\" width=\"381.965625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 252.018125 \n",
       "L 381.965625 252.018125 \n",
       "L 381.965625 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 36.465625 228.14 \n",
       "L 371.265625 228.14 \n",
       "L 371.265625 10.7 \n",
       "L 36.465625 10.7 \n",
       "z\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 \n",
       "L 0 3.5 \n",
       "\" id=\"mdb8cdab882\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"51.683807\" xlink:href=\"#mdb8cdab882\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(48.502557 242.738437)scale(0.1 -0.1)\">\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=\"102.41108\" xlink:href=\"#mdb8cdab882\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 20 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(96.04858 242.738437)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=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"153.138352\" xlink:href=\"#mdb8cdab882\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 40 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(146.775852 242.738437)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 id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"203.865625\" xlink:href=\"#mdb8cdab882\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 60 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(197.503125 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-54\"/>\n",
       "       <use x=\"63.623047\" 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=\"254.592898\" xlink:href=\"#mdb8cdab882\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 80 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(248.230398 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-56\"/>\n",
       "       <use x=\"63.623047\" 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=\"305.32017\" xlink:href=\"#mdb8cdab882\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 100 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(295.77642 242.738437)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=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"356.047443\" xlink:href=\"#mdb8cdab882\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 120 -->\n",
       "      <g transform=\"translate(346.503693 242.738437)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-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"md8d5d262ed\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"36.465625\" xlink:href=\"#md8d5d262ed\" y=\"191.830148\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.30 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 195.629367)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"36.465625\" xlink:href=\"#md8d5d262ed\" y=\"149.01852\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0.35 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 152.817739)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"36.465625\" xlink:href=\"#md8d5d262ed\" y=\"106.206892\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0.40 -->\n",
       "      <g transform=\"translate(7.2 110.006111)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"36.465625\" xlink:href=\"#md8d5d262ed\" y=\"63.395264\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.45 -->\n",
       "      <g transform=\"translate(7.2 67.194483)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"36.465625\" xlink:href=\"#md8d5d262ed\" y=\"20.583636\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0.50 -->\n",
       "      <g transform=\"translate(7.2 24.382855)scale(0.1 -0.1)\">\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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_13\">\n",
       "    <path clip-path=\"url(#p97a916a3ac)\" d=\"M 51.683807 20.583636 \n",
       "L 54.22017 26.590506 \n",
       "L 56.756534 32.673595 \n",
       "L 59.292898 38.801042 \n",
       "L 61.829261 44.941213 \n",
       "L 64.365625 51.063125 \n",
       "L 66.901989 57.136781 \n",
       "L 69.438352 63.133435 \n",
       "L 71.974716 69.025849 \n",
       "L 74.51108 74.788455 \n",
       "L 77.047443 80.397468 \n",
       "L 79.583807 85.830972 \n",
       "L 82.12017 91.068942 \n",
       "L 84.656534 96.09327 \n",
       "L 87.192898 100.887732 \n",
       "L 89.729261 105.437937 \n",
       "L 92.265625 109.731269 \n",
       "L 94.801989 113.756817 \n",
       "L 97.338352 117.505308 \n",
       "L 99.874716 120.968978 \n",
       "L 102.41108 124.141539 \n",
       "L 104.947443 127.018057 \n",
       "L 107.483807 129.59488 \n",
       "L 110.02017 131.869547 \n",
       "L 112.556534 133.840721 \n",
       "L 115.092898 135.508122 \n",
       "L 117.629261 136.872425 \n",
       "L 120.165625 137.935232 \n",
       "L 122.701989 138.699002 \n",
       "L 125.238352 139.167012 \n",
       "L 127.774716 139.343274 \n",
       "L 130.31108 139.232537 \n",
       "L 132.847443 138.84023 \n",
       "L 135.383807 138.172411 \n",
       "L 137.92017 137.235786 \n",
       "L 140.456534 136.03764 \n",
       "L 142.992898 134.585881 \n",
       "L 145.529261 132.888981 \n",
       "L 148.065625 130.955992 \n",
       "L 150.601989 128.796568 \n",
       "L 153.138352 126.420966 \n",
       "L 155.674716 123.840059 \n",
       "L 158.21108 121.065392 \n",
       "L 160.747443 118.109182 \n",
       "L 163.283807 114.984426 \n",
       "L 165.82017 111.70489 \n",
       "L 168.356534 108.285216 \n",
       "L 170.892898 104.74097 \n",
       "L 173.429261 101.088712 \n",
       "L 175.965625 97.346094 \n",
       "L 178.501989 93.531924 \n",
       "L 181.038352 89.666231 \n",
       "L 183.574716 85.77036 \n",
       "L 186.11108 81.867024 \n",
       "L 188.647443 77.980314 \n",
       "L 191.183807 74.135739 \n",
       "L 193.72017 70.360211 \n",
       "L 196.256534 66.682005 \n",
       "L 198.792898 63.130622 \n",
       "L 201.329261 59.736659 \n",
       "L 203.865625 56.531607 \n",
       "L 206.401989 53.547507 \n",
       "L 208.938352 50.816639 \n",
       "L 211.474716 48.371039 \n",
       "L 214.01108 46.24198 \n",
       "L 216.547443 44.459376 \n",
       "L 219.083807 43.051128 \n",
       "L 221.62017 42.042418 \n",
       "L 224.156534 41.454941 \n",
       "L 226.692898 41.306244 \n",
       "L 229.229261 41.609056 \n",
       "L 231.765625 42.370623 \n",
       "L 234.301989 43.592317 \n",
       "L 236.838352 45.269248 \n",
       "L 239.374716 47.390248 \n",
       "L 241.91108 49.93788 \n",
       "L 244.447443 52.888777 \n",
       "L 246.983807 56.214249 \n",
       "L 249.52017 59.880974 \n",
       "L 252.056534 63.851997 \n",
       "L 254.592898 68.087645 \n",
       "L 257.129261 72.546763 \n",
       "L 259.665625 77.187695 \n",
       "L 262.201989 81.969558 \n",
       "L 264.738352 86.853119 \n",
       "L 267.274716 91.801686 \n",
       "L 269.81108 96.781424 \n",
       "L 272.347443 101.762449 \n",
       "L 274.883807 106.718453 \n",
       "L 277.42017 111.627469 \n",
       "L 279.956534 116.470698 \n",
       "L 282.492898 121.23384 \n",
       "L 285.029261 125.905371 \n",
       "L 287.565625 130.477479 \n",
       "L 290.101989 134.94417 \n",
       "L 292.638352 139.302567 \n",
       "L 295.174716 143.550587 \n",
       "L 297.71108 147.688207 \n",
       "L 300.247443 151.716786 \n",
       "L 302.783807 155.637842 \n",
       "L 305.32017 159.453855 \n",
       "L 307.856534 163.167177 \n",
       "L 310.392898 166.781426 \n",
       "L 312.929261 170.29978 \n",
       "L 315.465625 173.724955 \n",
       "L 318.001989 177.060732 \n",
       "L 320.538352 180.310058 \n",
       "L 323.074716 183.476432 \n",
       "L 325.61108 186.562703 \n",
       "L 328.147443 189.57063 \n",
       "L 330.683807 192.504213 \n",
       "L 333.22017 195.365015 \n",
       "L 335.756534 198.156422 \n",
       "L 338.292898 200.881452 \n",
       "L 340.829261 203.54071 \n",
       "L 343.365625 206.138207 \n",
       "L 345.901989 208.675152 \n",
       "L 348.438352 211.153248 \n",
       "L 350.974716 213.575385 \n",
       "L 353.51108 215.941527 \n",
       "L 356.047443 218.256364 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 36.465625 228.14 \n",
       "L 36.465625 10.7 \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 371.265625 228.14 \n",
       "L 371.265625 10.7 \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 36.465625 228.14 \n",
       "L 371.265625 228.14 \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 36.465625 10.7 \n",
       "L 371.265625 10.7 \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=\"p97a916a3ac\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"36.465625\" y=\"10.7\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(t, args):\n",
    "    return 0.5+0.25*t-t*t*0.125\n",
    "\n",
    "def g(t, args):\n",
    "    return 0.25+0.25*t-t*t*0.125\n",
    "\n",
    "Nsubs = (20*np.logspace(0,0.6,8)).astype(int)\n",
    "stepsizes = [ddt/j for j in Nsubs] # step size is doubled after each evaluation \n",
    "Nt = len(Nsubs)                    # number of step sizes that we compare\n",
    "Nsubmax = Nsubs[-1]                # Number of intervals for the smallest step size; \n",
    "dtmin = (tlist[1]-tlist[0])/(Nsubmax)\n",
    "\n",
    "sc_op2_td = [[sc_op[0],f],[sc_op[0],g]]\n",
    "sol = smesolve(H, rho0, tlist, c_op_td, sc_op2_td, e_op, nsubsteps=1000, method=\"homodyne\",solver=152)\n",
    "y_btd2 = sol.expect[1]-sol.expect[0]*sol.expect[0].conj()\n",
    "plt.plot(y_btd2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'solver': 'euler-maruyama'}\n",
      "Total run time:   0.53s\n",
      "Total run time:   0.58s\n",
      "Total run time:   0.70s\n",
      "Total run time:   0.87s\n",
      "Total run time:   1.08s\n",
      "Total run time:   1.28s\n",
      "Total run time:   1.57s\n",
      "Total run time:   2.01s\n",
      "{'solver': 'platen'}\n",
      "Total run time:   1.52s\n",
      "Total run time:   1.82s\n",
      "Total run time:   2.21s\n",
      "Total run time:   2.78s\n",
      "Total run time:   3.33s\n",
      "Total run time:   4.05s\n",
      "Total run time:   4.97s\n",
      "Total run time:   6.01s\n",
      "{'solver': 'pc-euler'}\n",
      "Total run time:   0.92s\n",
      "Total run time:   1.10s\n",
      "Total run time:   1.33s\n",
      "Total run time:   1.64s\n",
      "Total run time:   2.01s\n",
      "Total run time:   2.41s\n",
      "Total run time:   3.05s\n",
      "Total run time:   3.60s\n",
      "{'solver': 'milstein'}\n",
      "Total run time:   0.73s\n",
      "Total run time:   0.88s\n",
      "Total run time:   1.06s\n",
      "Total run time:   1.32s\n",
      "Total run time:   1.62s\n",
      "Total run time:   1.96s\n",
      "Total run time:   2.37s\n",
      "Total run time:   2.88s\n",
      "{'solver': 'milstein-imp'}\n",
      "Total run time:   3.11s\n",
      "Total run time:   3.61s\n",
      "Total run time:   4.36s\n",
      "Total run time:   5.51s\n",
      "Total run time:   6.58s\n",
      "Total run time:   9.64s\n",
      "Total run time:  10.74s\n",
      "Total run time:  12.29s\n",
      "{'solver': 'pc-euler-2'}\n",
      "Total run time:   1.54s\n",
      "Total run time:   1.86s\n",
      "Total run time:   2.50s\n",
      "Total run time:   2.79s\n",
      "Total run time:   3.36s\n",
      "Total run time:   4.03s\n",
      "Total run time:   4.98s\n",
      "Total run time:   6.56s\n",
      "{'solver': 'explicit1.5'}\n",
      "Total run time:   5.28s\n",
      "Total run time:   6.35s\n",
      "Total run time:   7.74s\n",
      "Total run time:   8.99s\n",
      "Total run time:  10.34s\n",
      "Total run time:  12.41s\n",
      "Total run time:  15.40s\n",
      "Total run time:  21.40s\n",
      "{'solver': 'taylor1.5'}\n",
      "Total run time:   3.30s\n",
      "Total run time:   3.85s\n",
      "Total run time:   4.52s\n",
      "Total run time:   5.63s\n",
      "Total run time:   7.22s\n",
      "Total run time:   8.72s\n",
      "Total run time:   9.51s\n",
      "Total run time:  11.84s\n",
      "{'solver': 'taylor1.5-imp'}\n",
      "Total run time:   5.43s\n",
      "Total run time:   6.81s\n",
      "Total run time:   7.60s\n",
      "Total run time:  10.05s\n",
      "Total run time:  11.88s\n",
      "Total run time:  12.88s\n",
      "Total run time:  15.63s\n",
      "Total run time:  22.31s\n"
     ]
    }
   ],
   "source": [
    "ntraj = 1\n",
    "\n",
    "def run_multi(**kwargs):\n",
    "    epsilon = np.zeros(Nt)\n",
    "    std = np.zeros(Nt)\n",
    "    print(kwargs)\n",
    "    for j in range(0,ntraj):\n",
    "        for jj in range(0,Nt):\n",
    "            Nsub = Nsubs[jj]\n",
    "            sol = smesolve(H, rho0, tlist, c_op_td, sc_op2_td, e_op, nsubsteps=Nsub, **kwargs)\n",
    "            epsilon_j = 1/T * np.sum(np.abs(y_btd2 - (sol.expect[1]-sol.expect[0]*sol.expect[0].conj())))*ddt\n",
    "            epsilon[jj] += epsilon_j\n",
    "            std[jj] += epsilon_j\n",
    "    epsilon/= ntraj\n",
    "    std = np.sqrt(1/ntraj * (1/ntraj * std - epsilon**2))\n",
    "    return epsilon\n",
    "\n",
    "def get_stats_multi(**kw):\n",
    "    start = time.time()\n",
    "    y = run_multi(**kw)\n",
    "    tag = str(kw[\"solver\"])\n",
    "    x = np.log(stepsizes)\n",
    "    ly = np.log(y)\n",
    "    fit = np.polyfit(x, ly, 1)[0]\n",
    "    return y,tag,fit,time.time()-start\n",
    "\n",
    "stats_multi = []\n",
    "stats_multi.append(get_stats_multi(solver='euler-maruyama'))\n",
    "\n",
    "stats_multi.append(get_stats_multi(solver='platen'))\n",
    "stats_multi.append(get_stats_multi(solver='pc-euler'))\n",
    "stats_multi.append(get_stats_multi(solver='milstein'))\n",
    "stats_multi.append(get_stats_multi(solver='milstein-imp'))\n",
    "stats_multi.append(get_stats_multi(solver='pc-euler-2'))\n",
    "\n",
    "stats_multi.append(get_stats_multi(solver='explicit1.5'))\n",
    "stats_multi.append(get_stats_multi(solver=\"taylor1.5\"))\n",
    "stats_multi.append(get_stats_multi(solver=\"taylor1.5-imp\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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=\"277.722225pt\" version=\"1.1\" viewBox=\"0 0 670.401875 277.722225\" width=\"670.401875pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 277.722225 \n",
       "L 670.401875 277.722225 \n",
       "L 670.401875 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 37.7 253.8441 \n",
       "L 372.5 253.8441 \n",
       "L 372.5 36.4041 \n",
       "L 37.7 36.4041 \n",
       "z\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 \n",
       "L 0 3.5 \n",
       "\" id=\"m2b8db039a2\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"154.266301\" xlink:href=\"#m2b8db039a2\" y=\"253.8441\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathdefault{10^{-3}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-8722\"/>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(142.516301 268.442538)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 2 \n",
       "\" id=\"m860713654a\" style=\"stroke:#000000;stroke-width:0.6;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"41.086581\" xlink:href=\"#m860713654a\" y=\"253.8441\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathdefault{6\\times10^{-4}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "       <path d=\"M 70.125 53.71875 \n",
       "L 47.796875 31.296875 \n",
       "L 70.125 8.984375 \n",
       "L 64.3125 3.078125 \n",
       "L 41.890625 25.484375 \n",
       "L 19.484375 3.078125 \n",
       "L 13.71875 8.984375 \n",
       "L 35.984375 31.296875 \n",
       "L 13.71875 53.71875 \n",
       "L 19.484375 59.625 \n",
       "L 41.890625 37.203125 \n",
       "L 64.3125 59.625 \n",
       "z\n",
       "\" id=\"DejaVuSans-215\"/>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(20.036581 266.842538)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "       <use transform=\"translate(83.105469 0.684375)\" xlink:href=\"#DejaVuSans-215\"/>\n",
       "       <use transform=\"translate(186.376953 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(250 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(314.580078 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(373.232422 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-52\"/>\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:0.6;\" x=\"75.240566\" xlink:href=\"#m860713654a\" y=\"253.8441\"/>\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:0.6;\" x=\"104.826094\" xlink:href=\"#m860713654a\" y=\"253.8441\"/>\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:0.6;\" x=\"130.922378\" xlink:href=\"#m860713654a\" y=\"253.8441\"/>\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:0.6;\" x=\"307.841611\" xlink:href=\"#m860713654a\" y=\"253.8441\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathdefault{2\\times10^{-3}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(286.791611 266.842538)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use transform=\"translate(83.105469 0.765625)\" xlink:href=\"#DejaVuSans-215\"/>\n",
       "       <use transform=\"translate(186.376953 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(250 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(314.580078 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(373.232422 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\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 \n",
       "L -3.5 0 \n",
       "\" id=\"m73085e93c5\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"37.7\" xlink:href=\"#m73085e93c5\" y=\"210.535192\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathdefault{10^{-5}}$ -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 214.334411)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\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=\"37.7\" xlink:href=\"#m73085e93c5\" y=\"159.46156\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathdefault{10^{-4}}$ -->\n",
       "      <g transform=\"translate(7.2 163.260779)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-52\"/>\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=\"37.7\" xlink:href=\"#m73085e93c5\" y=\"108.387928\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathdefault{10^{-3}}$ -->\n",
       "      <g transform=\"translate(7.2 112.187147)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\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=\"37.7\" xlink:href=\"#m73085e93c5\" y=\"57.314296\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathdefault{10^{-2}}$ -->\n",
       "      <g transform=\"translate(7.2 61.113514)scale(0.1 -0.1)\">\n",
       "       <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use transform=\"translate(63.623047 0.765625)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use transform=\"translate(128.203125 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use transform=\"translate(186.855469 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -2 0 \n",
       "\" id=\"m14a0a8c612\" style=\"stroke:#000000;stroke-width:0.6;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"246.234129\"/>\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:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"237.240509\"/>\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:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"230.859434\"/>\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:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"225.909887\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"221.865813\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"218.446598\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"215.484738\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"212.872193\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"195.160497\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"186.166877\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_15\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"179.785802\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_16\">\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"174.836255\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_17\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"170.792181\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_18\">\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"167.372966\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_19\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"164.411106\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_20\">\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"161.798561\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_21\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"144.086865\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_22\">\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"135.093245\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_23\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"128.712169\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_24\">\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"123.762623\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_25\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"119.718549\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_26\">\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"116.299334\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_27\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"113.337474\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_28\">\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"110.724929\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_29\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"93.013233\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_30\">\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"84.019612\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_31\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"77.638537\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_32\">\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"72.688991\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_33\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"68.644917\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_34\">\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"65.225701\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_35\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"62.263842\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_36\">\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"59.651297\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_37\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"37.7\" xlink:href=\"#m14a0a8c612\" y=\"41.9396\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_44\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"m9e629559d5\" style=\"stroke:#1f77b4;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p884f7db491)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"357.281818\" xlink:href=\"#m9e629559d5\" y=\"46.287736\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"316.886228\" xlink:href=\"#m9e629559d5\" y=\"80.248818\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"274.957328\" xlink:href=\"#m9e629559d5\" y=\"76.901013\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"227.05043\" xlink:href=\"#m9e629559d5\" y=\"83.552944\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"182.589361\" xlink:href=\"#m9e629559d5\" y=\"81.223821\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"141.356105\" xlink:href=\"#m9e629559d5\" y=\"88.27475\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"96.136261\" xlink:href=\"#m9e629559d5\" y=\"86.647313\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"52.918182\" xlink:href=\"#m9e629559d5\" y=\"90.086828\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_45\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -0.673542 -0.927051 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.089814 0.354102 \n",
       "L -1.763356 2.427051 \n",
       "L -0 1.145898 \n",
       "L 1.763356 2.427051 \n",
       "L 1.089814 0.354102 \n",
       "L 2.85317 -0.927051 \n",
       "L 0.673542 -0.927051 \n",
       "z\n",
       "\" id=\"m60938db045\" style=\"stroke:#ff7f0e;stroke-linejoin:bevel;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p884f7db491)\">\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"357.281818\" xlink:href=\"#m60938db045\" y=\"152.330268\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"316.886228\" xlink:href=\"#m60938db045\" y=\"149.156852\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"274.957328\" xlink:href=\"#m60938db045\" y=\"150.186361\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"227.05043\" xlink:href=\"#m60938db045\" y=\"163.053813\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"182.589361\" xlink:href=\"#m60938db045\" y=\"166.79741\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"141.356105\" xlink:href=\"#m60938db045\" y=\"163.62518\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"96.136261\" xlink:href=\"#m60938db045\" y=\"181.017968\"/>\n",
       "     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"52.918182\" xlink:href=\"#m60938db045\" y=\"174.994532\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_46\">\n",
       "    <defs>\n",
       "     <path d=\"M -0 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"m5ad50e1b42\" style=\"stroke:#2ca02c;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p884f7db491)\">\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m5ad50e1b42\" y=\"144.153527\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"316.886228\" xlink:href=\"#m5ad50e1b42\" y=\"145.146808\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"274.957328\" xlink:href=\"#m5ad50e1b42\" y=\"144.335286\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"227.05043\" xlink:href=\"#m5ad50e1b42\" y=\"153.544857\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"182.589361\" xlink:href=\"#m5ad50e1b42\" y=\"153.883187\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"141.356105\" xlink:href=\"#m5ad50e1b42\" y=\"159.574571\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"96.136261\" xlink:href=\"#m5ad50e1b42\" y=\"171.589288\"/>\n",
       "     <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m5ad50e1b42\" y=\"167.238267\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_47\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"m5b1f612a58\" style=\"stroke:#d62728;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p884f7db491)\">\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m5b1f612a58\" y=\"149.802618\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"316.886228\" xlink:href=\"#m5b1f612a58\" y=\"142.573237\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"274.957328\" xlink:href=\"#m5b1f612a58\" y=\"150.547383\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"227.05043\" xlink:href=\"#m5b1f612a58\" y=\"157.559177\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"182.589361\" xlink:href=\"#m5b1f612a58\" y=\"160.261497\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"141.356105\" xlink:href=\"#m5b1f612a58\" y=\"162.466529\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"96.136261\" xlink:href=\"#m5b1f612a58\" y=\"169.936453\"/>\n",
       "     <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m5b1f612a58\" y=\"166.213832\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_48\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.763356 2.427051 \n",
       "L 1.763356 2.427051 \n",
       "L 2.85317 -0.927051 \n",
       "z\n",
       "\" id=\"ma85a53235f\" style=\"stroke:#9467bd;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p884f7db491)\">\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#ma85a53235f\" y=\"151.762474\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"316.886228\" xlink:href=\"#ma85a53235f\" y=\"155.169685\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"274.957328\" xlink:href=\"#ma85a53235f\" y=\"160.530654\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"227.05043\" xlink:href=\"#ma85a53235f\" y=\"157.944582\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"182.589361\" xlink:href=\"#ma85a53235f\" y=\"159.386814\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"141.356105\" xlink:href=\"#ma85a53235f\" y=\"174.041303\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"96.136261\" xlink:href=\"#ma85a53235f\" y=\"177.342058\"/>\n",
       "     <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#ma85a53235f\" y=\"181.781381\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_49\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 -3 \n",
       "M -3 -3 \n",
       "L 3 3 \n",
       "\" id=\"mb571d352f4\" style=\"stroke:#8c564b;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p884f7db491)\">\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"357.281818\" xlink:href=\"#mb571d352f4\" y=\"127.071418\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"316.886228\" xlink:href=\"#mb571d352f4\" y=\"138.038069\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"274.957328\" xlink:href=\"#mb571d352f4\" y=\"137.127674\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"227.05043\" xlink:href=\"#mb571d352f4\" y=\"141.555858\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"182.589361\" xlink:href=\"#mb571d352f4\" y=\"143.404196\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"141.356105\" xlink:href=\"#mb571d352f4\" y=\"153.220333\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"96.136261\" xlink:href=\"#mb571d352f4\" y=\"154.757045\"/>\n",
       "     <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"52.918182\" xlink:href=\"#mb571d352f4\" y=\"161.818069\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_50\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 0 \n",
       "L 3 0 \n",
       "M 0 3 \n",
       "L 0 -3 \n",
       "\" id=\"m42282f0b7a\" style=\"stroke:#e377c2;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p884f7db491)\">\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"357.281818\" xlink:href=\"#m42282f0b7a\" y=\"182.242115\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"316.886228\" xlink:href=\"#m42282f0b7a\" y=\"189.549539\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"274.957328\" xlink:href=\"#m42282f0b7a\" y=\"203.980952\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"227.05043\" xlink:href=\"#m42282f0b7a\" y=\"204.631753\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"182.589361\" xlink:href=\"#m42282f0b7a\" y=\"211.1929\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"141.356105\" xlink:href=\"#m42282f0b7a\" y=\"221.545885\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"96.136261\" xlink:href=\"#m42282f0b7a\" y=\"231.257955\"/>\n",
       "     <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"52.918182\" xlink:href=\"#m42282f0b7a\" y=\"230.443668\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_51\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -3 3 \n",
       "L 3 3 \n",
       "z\n",
       "\" id=\"m2049a7d546\" style=\"stroke:#7f7f7f;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p884f7db491)\">\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m2049a7d546\" y=\"191.483319\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"316.886228\" xlink:href=\"#m2049a7d546\" y=\"198.531452\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"274.957328\" xlink:href=\"#m2049a7d546\" y=\"204.736362\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"227.05043\" xlink:href=\"#m2049a7d546\" y=\"198.181827\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"182.589361\" xlink:href=\"#m2049a7d546\" y=\"208.33033\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"141.356105\" xlink:href=\"#m2049a7d546\" y=\"219.726302\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"96.136261\" xlink:href=\"#m2049a7d546\" y=\"231.343939\"/>\n",
       "     <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m2049a7d546\" y=\"231.69394\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_52\">\n",
       "    <defs>\n",
       "     <path d=\"M -3 -0 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "z\n",
       "\" id=\"m9b8e45f006\" style=\"stroke:#bcbd22;stroke-linejoin:miter;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p884f7db491)\">\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"357.281818\" xlink:href=\"#m9b8e45f006\" y=\"200.414036\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"316.886228\" xlink:href=\"#m9b8e45f006\" y=\"212.883548\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"274.957328\" xlink:href=\"#m9b8e45f006\" y=\"208.717243\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"227.05043\" xlink:href=\"#m9b8e45f006\" y=\"221.88562\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"182.589361\" xlink:href=\"#m9b8e45f006\" y=\"225.905588\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"141.356105\" xlink:href=\"#m9b8e45f006\" y=\"232.332783\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"96.136261\" xlink:href=\"#m9b8e45f006\" y=\"237.483279\"/>\n",
       "     <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"52.918182\" xlink:href=\"#m9b8e45f006\" y=\"243.960464\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_53\">\n",
       "    <path clip-path=\"url(#p884f7db491)\" d=\"M 357.281818 72.688991 \n",
       "L 316.886228 74.711028 \n",
       "L 274.957328 76.809816 \n",
       "L 227.05043 79.207838 \n",
       "L 182.589361 81.433376 \n",
       "L 141.356105 83.497343 \n",
       "L 96.136261 85.760862 \n",
       "L 52.918182 87.924181 \n",
       "\" style=\"fill:none;stroke:#17becf;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_54\">\n",
       "    <path clip-path=\"url(#p884f7db491)\" d=\"M 357.281818 139.137318 \n",
       "L 316.886228 143.181392 \n",
       "L 274.957328 147.378968 \n",
       "L 227.05043 152.175012 \n",
       "L 182.589361 156.626088 \n",
       "L 141.356105 160.754022 \n",
       "L 96.136261 165.281061 \n",
       "L 52.918182 169.607699 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_55\">\n",
       "    <path clip-path=\"url(#p884f7db491)\" d=\"M 357.281818 190.21095 \n",
       "L 316.886228 196.277061 \n",
       "L 274.957328 202.573425 \n",
       "L 227.05043 209.767491 \n",
       "L 182.589361 216.444106 \n",
       "L 141.356105 222.636007 \n",
       "L 96.136261 229.426564 \n",
       "L 52.918182 235.916521 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 37.7 253.8441 \n",
       "L 37.7 36.4041 \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 372.5 253.8441 \n",
       "L 372.5 36.4041 \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 37.7 253.8441 \n",
       "L 372.5 253.8441 \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 37.7 36.4041 \n",
       "L 372.5 36.4041 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 380.9 222.165 \n",
       "L 660.801875 222.165 \n",
       "Q 663.201875 222.165 663.201875 219.765 \n",
       "L 663.201875 9.6 \n",
       "Q 663.201875 7.2 660.801875 7.2 \n",
       "L 380.9 7.2 \n",
       "Q 378.5 7.2 378.5 9.6 \n",
       "L 378.5 219.765 \n",
       "Q 378.5 222.165 380.9 222.165 \n",
       "z\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_56\"/>\n",
       "    <g id=\"line2d_57\">\n",
       "     <g>\n",
       "      <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"395.3\" xlink:href=\"#m9e629559d5\" y=\"16.918125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_8\">\n",
       "     <!-- euler-maruyama: 0.9973032093860791 -->\n",
       "     <defs>\n",
       "      <path d=\"M 56.203125 29.59375 \n",
       "L 56.203125 25.203125 \n",
       "L 14.890625 25.203125 \n",
       "Q 15.484375 15.921875 20.484375 11.0625 \n",
       "Q 25.484375 6.203125 34.421875 6.203125 \n",
       "Q 39.59375 6.203125 44.453125 7.46875 \n",
       "Q 49.3125 8.734375 54.109375 11.28125 \n",
       "L 54.109375 2.78125 \n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \n",
       "Q 5.515625 13.8125 5.515625 26.8125 \n",
       "Q 5.515625 40.234375 12.765625 48.109375 \n",
       "Q 20.015625 56 32.328125 56 \n",
       "Q 43.359375 56 49.78125 48.890625 \n",
       "Q 56.203125 41.796875 56.203125 29.59375 \n",
       "z\n",
       "M 47.21875 32.234375 \n",
       "Q 47.125 39.59375 43.09375 43.984375 \n",
       "Q 39.0625 48.390625 32.421875 48.390625 \n",
       "Q 24.90625 48.390625 20.390625 44.140625 \n",
       "Q 15.875 39.890625 15.1875 32.171875 \n",
       "z\n",
       "\" id=\"DejaVuSans-101\"/>\n",
       "      <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "      <path d=\"M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-108\"/>\n",
       "      <path d=\"M 41.109375 46.296875 \n",
       "Q 39.59375 47.171875 37.8125 47.578125 \n",
       "Q 36.03125 48 33.890625 48 \n",
       "Q 26.265625 48 22.1875 43.046875 \n",
       "Q 18.109375 38.09375 18.109375 28.8125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 20.953125 51.171875 25.484375 53.578125 \n",
       "Q 30.03125 56 36.53125 56 \n",
       "Q 37.453125 56 38.578125 55.875 \n",
       "Q 39.703125 55.765625 41.0625 55.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-114\"/>\n",
       "      <path d=\"M 4.890625 31.390625 \n",
       "L 31.203125 31.390625 \n",
       "L 31.203125 23.390625 \n",
       "L 4.890625 23.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-45\"/>\n",
       "      <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "      <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "      <path d=\"M 32.171875 -5.078125 \n",
       "Q 28.375 -14.84375 24.75 -17.8125 \n",
       "Q 21.140625 -20.796875 15.09375 -20.796875 \n",
       "L 7.90625 -20.796875 \n",
       "L 7.90625 -13.28125 \n",
       "L 13.1875 -13.28125 \n",
       "Q 16.890625 -13.28125 18.9375 -11.515625 \n",
       "Q 21 -9.765625 23.484375 -3.21875 \n",
       "L 25.09375 0.875 \n",
       "L 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 11.921875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-121\"/>\n",
       "      <path d=\"M 11.71875 12.40625 \n",
       "L 22.015625 12.40625 \n",
       "L 22.015625 0 \n",
       "L 11.71875 0 \n",
       "z\n",
       "M 11.71875 51.703125 \n",
       "L 22.015625 51.703125 \n",
       "L 22.015625 39.3125 \n",
       "L 11.71875 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-58\"/>\n",
       "      <path id=\"DejaVuSans-32\"/>\n",
       "      <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "      <path d=\"M 10.984375 1.515625 \n",
       "L 10.984375 10.5 \n",
       "Q 14.703125 8.734375 18.5 7.8125 \n",
       "Q 22.3125 6.890625 25.984375 6.890625 \n",
       "Q 35.75 6.890625 40.890625 13.453125 \n",
       "Q 46.046875 20.015625 46.78125 33.40625 \n",
       "Q 43.953125 29.203125 39.59375 26.953125 \n",
       "Q 35.25 24.703125 29.984375 24.703125 \n",
       "Q 19.046875 24.703125 12.671875 31.3125 \n",
       "Q 6.296875 37.9375 6.296875 49.421875 \n",
       "Q 6.296875 60.640625 12.9375 67.421875 \n",
       "Q 19.578125 74.21875 30.609375 74.21875 \n",
       "Q 43.265625 74.21875 49.921875 64.515625 \n",
       "Q 56.59375 54.828125 56.59375 36.375 \n",
       "Q 56.59375 19.140625 48.40625 8.859375 \n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \n",
       "Q 15.09375 0.046875 10.984375 1.515625 \n",
       "z\n",
       "M 30.609375 32.421875 \n",
       "Q 37.25 32.421875 41.125 36.953125 \n",
       "Q 45.015625 41.5 45.015625 49.421875 \n",
       "Q 45.015625 57.28125 41.125 61.84375 \n",
       "Q 37.25 66.40625 30.609375 66.40625 \n",
       "Q 23.96875 66.40625 20.09375 61.84375 \n",
       "Q 16.21875 57.28125 16.21875 49.421875 \n",
       "Q 16.21875 41.5 20.09375 36.953125 \n",
       "Q 23.96875 32.421875 30.609375 32.421875 \n",
       "z\n",
       "\" id=\"DejaVuSans-57\"/>\n",
       "      <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "      <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 21.118125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"61.523438\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"124.902344\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.685547\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"214.208984\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"255.228516\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"291.3125\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"388.724609\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"450.003906\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"491.117188\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"554.496094\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"613.675781\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"674.955078\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"772.367188\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"833.646484\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"867.337891\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"899.125\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"962.748047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"994.535156\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1058.158203\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1121.78125\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1185.404297\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1249.027344\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1312.650391\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1376.273438\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1439.896484\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1503.519531\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1567.142578\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1630.765625\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1694.388672\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1758.011719\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1821.634766\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1885.257812\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1948.880859\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_58\"/>\n",
       "    <g id=\"line2d_59\">\n",
       "     <g>\n",
       "      <use style=\"fill:#ff7f0e;stroke:#ff7f0e;stroke-linejoin:bevel;\" x=\"395.3\" xlink:href=\"#m60938db045\" y=\"34.531875\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_9\">\n",
       "     <!-- platen: 0.9883605149659404 -->\n",
       "     <defs>\n",
       "      <path d=\"M 18.109375 8.203125 \n",
       "L 18.109375 -20.796875 \n",
       "L 9.078125 -20.796875 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.390625 \n",
       "Q 20.953125 51.265625 25.265625 53.625 \n",
       "Q 29.59375 56 35.59375 56 \n",
       "Q 45.5625 56 51.78125 48.09375 \n",
       "Q 58.015625 40.1875 58.015625 27.296875 \n",
       "Q 58.015625 14.40625 51.78125 6.484375 \n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \n",
       "Q 20.953125 3.328125 18.109375 8.203125 \n",
       "z\n",
       "M 48.6875 27.296875 \n",
       "Q 48.6875 37.203125 44.609375 42.84375 \n",
       "Q 40.53125 48.484375 33.40625 48.484375 \n",
       "Q 26.265625 48.484375 22.1875 42.84375 \n",
       "Q 18.109375 37.203125 18.109375 27.296875 \n",
       "Q 18.109375 17.390625 22.1875 11.75 \n",
       "Q 26.265625 6.109375 33.40625 6.109375 \n",
       "Q 40.53125 6.109375 44.609375 11.75 \n",
       "Q 48.6875 17.390625 48.6875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-112\"/>\n",
       "      <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 38.731875)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"91.259766\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"152.539062\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"191.748047\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"253.271484\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"316.650391\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"350.341797\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"382.128906\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"445.751953\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"477.539062\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"541.162109\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"604.785156\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"668.408203\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"732.03125\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"795.654297\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"859.277344\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"922.900391\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"986.523438\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1050.146484\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1113.769531\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1177.392578\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1241.015625\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1304.638672\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1368.261719\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1431.884766\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_60\"/>\n",
       "    <g id=\"line2d_61\">\n",
       "     <g>\n",
       "      <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m5ad50e1b42\" y=\"52.145625\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_10\">\n",
       "     <!-- pc-euler: 0.9250199860832757 -->\n",
       "     <defs>\n",
       "      <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 56.345625)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"118.457031\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"154.541016\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"216.064453\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"279.443359\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"307.226562\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"368.75\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"409.847656\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"443.539062\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"475.326172\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"538.949219\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"570.736328\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"634.359375\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"697.982422\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"761.605469\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"825.228516\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"888.851562\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"952.474609\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1016.097656\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1079.720703\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1143.34375\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1206.966797\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1270.589844\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1334.212891\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1397.835938\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1461.458984\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1525.082031\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_62\"/>\n",
       "    <g id=\"line2d_63\">\n",
       "     <g>\n",
       "      <use style=\"fill:#d62728;stroke:#d62728;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m5b1f612a58\" y=\"69.759375\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_11\">\n",
       "     <!-- milstein: 0.7910290215891793 -->\n",
       "     <defs>\n",
       "      <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "      <path d=\"M 44.28125 53.078125 \n",
       "L 44.28125 44.578125 \n",
       "Q 40.484375 46.53125 36.375 47.5 \n",
       "Q 32.28125 48.484375 27.875 48.484375 \n",
       "Q 21.1875 48.484375 17.84375 46.4375 \n",
       "Q 14.5 44.390625 14.5 40.28125 \n",
       "Q 14.5 37.15625 16.890625 35.375 \n",
       "Q 19.28125 33.59375 26.515625 31.984375 \n",
       "L 29.59375 31.296875 \n",
       "Q 39.15625 29.25 43.1875 25.515625 \n",
       "Q 47.21875 21.78125 47.21875 15.09375 \n",
       "Q 47.21875 7.46875 41.1875 3.015625 \n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \n",
       "Q 10.6875 0.296875 5.421875 2 \n",
       "L 5.421875 11.28125 \n",
       "Q 10.40625 8.6875 15.234375 7.390625 \n",
       "Q 20.0625 6.109375 24.8125 6.109375 \n",
       "Q 31.15625 6.109375 34.5625 8.28125 \n",
       "Q 37.984375 10.453125 37.984375 14.40625 \n",
       "Q 37.984375 18.0625 35.515625 20.015625 \n",
       "Q 33.0625 21.96875 24.703125 23.78125 \n",
       "L 21.578125 24.515625 \n",
       "Q 13.234375 26.265625 9.515625 29.90625 \n",
       "Q 5.8125 33.546875 5.8125 39.890625 \n",
       "Q 5.8125 47.609375 11.28125 51.796875 \n",
       "Q 16.75 56 26.8125 56 \n",
       "Q 31.78125 56 36.171875 55.265625 \n",
       "Q 40.578125 54.546875 44.28125 53.078125 \n",
       "z\n",
       "\" id=\"DejaVuSans-115\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 73.959375)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"125.195312\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.978516\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"205.078125\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"244.287109\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"305.810547\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"333.59375\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"396.972656\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"430.664062\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"462.451172\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"526.074219\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"557.861328\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"621.484375\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"685.107422\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"748.730469\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"812.353516\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"875.976562\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"939.599609\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1003.222656\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1066.845703\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1130.46875\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1194.091797\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1257.714844\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1321.337891\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1384.960938\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1448.583984\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1512.207031\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_64\"/>\n",
       "    <g id=\"line2d_65\">\n",
       "     <g>\n",
       "      <use style=\"fill:#9467bd;stroke:#9467bd;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#ma85a53235f\" y=\"87.373125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_12\">\n",
       "     <!-- milstein-imp: 0.9822648683074483 -->\n",
       "     <g transform=\"translate(416.9 91.573125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"125.195312\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"152.978516\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"205.078125\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"244.287109\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"305.810547\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"333.59375\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"396.972656\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"433.056641\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"460.839844\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"558.251953\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"621.728516\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"655.419922\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"687.207031\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"750.830078\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"782.617188\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"846.240234\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"909.863281\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"973.486328\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1037.109375\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1100.732422\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1164.355469\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1227.978516\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1291.601562\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1355.224609\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1418.847656\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1482.470703\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1546.09375\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1609.716797\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1673.339844\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1736.962891\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_66\"/>\n",
       "    <g id=\"line2d_67\">\n",
       "     <g>\n",
       "      <use style=\"fill:#8c564b;stroke:#8c564b;\" x=\"395.3\" xlink:href=\"#mb571d352f4\" y=\"104.986875\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_13\">\n",
       "     <!-- pc-euler-2: 1.021013145637072 -->\n",
       "     <g transform=\"translate(416.9 109.186875)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"118.457031\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"154.541016\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"216.064453\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"279.443359\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"307.226562\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"368.75\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"409.769531\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"445.853516\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"509.476562\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"543.167969\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"574.955078\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"638.578125\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"670.365234\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"733.988281\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"797.611328\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"861.234375\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"924.857422\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"988.480469\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1052.103516\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1115.726562\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1179.349609\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1242.972656\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1306.595703\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1370.21875\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1433.841797\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1497.464844\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1561.087891\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_68\"/>\n",
       "    <g id=\"line2d_69\">\n",
       "     <g>\n",
       "      <use style=\"fill:#e377c2;stroke:#e377c2;\" x=\"395.3\" xlink:href=\"#m42282f0b7a\" y=\"122.600625\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_14\">\n",
       "     <!-- explicit1.5: 1.6398259417765906 -->\n",
       "     <defs>\n",
       "      <path d=\"M 54.890625 54.6875 \n",
       "L 35.109375 28.078125 \n",
       "L 55.90625 0 \n",
       "L 45.3125 0 \n",
       "L 29.390625 21.484375 \n",
       "L 13.484375 0 \n",
       "L 2.875 0 \n",
       "L 24.125 28.609375 \n",
       "L 4.6875 54.6875 \n",
       "L 15.28125 54.6875 \n",
       "L 29.78125 35.203125 \n",
       "L 44.28125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-120\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 126.800625)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"61.507812\" xlink:href=\"#DejaVuSans-120\"/>\n",
       "      <use x=\"120.6875\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"184.164062\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"211.947266\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"239.730469\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"294.710938\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"322.494141\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"361.703125\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"425.326172\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"457.113281\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"520.736328\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"554.427734\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"586.214844\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"649.837891\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"681.625\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"745.248047\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"808.871094\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"872.494141\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"936.117188\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"999.740234\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1063.363281\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1126.986328\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1190.609375\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1254.232422\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1317.855469\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1381.478516\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1445.101562\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1508.724609\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1572.347656\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1635.970703\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_70\"/>\n",
       "    <g id=\"line2d_71\">\n",
       "     <g>\n",
       "      <use style=\"fill:#7f7f7f;stroke:#7f7f7f;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m2049a7d546\" y=\"140.214375\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_15\">\n",
       "     <!-- taylor1.5: 1.355720229047365 -->\n",
       "     <defs>\n",
       "      <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 144.414375)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"482.470703\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"514.257812\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"577.880859\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"609.667969\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"673.291016\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"736.914062\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"800.537109\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"864.160156\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"927.783203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"991.40625\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1055.029297\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1118.652344\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1182.275391\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      <use x=\"1245.898438\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1309.521484\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1373.144531\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"1436.767578\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1500.390625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_72\"/>\n",
       "    <g id=\"line2d_73\">\n",
       "     <g>\n",
       "      <use style=\"fill:#bcbd22;stroke:#bcbd22;stroke-linejoin:miter;\" x=\"395.3\" xlink:href=\"#m9b8e45f006\" y=\"157.828125\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- taylor1.5-imp: 1.3652978964181521 -->\n",
       "     <g transform=\"translate(416.9 162.028125)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"159.667969\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"187.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"248.632812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"289.746094\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"353.369141\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"448.779297\" xlink:href=\"#DejaVuSans-45\"/>\n",
       "      <use x=\"484.863281\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"512.646484\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"610.058594\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"673.535156\" xlink:href=\"#DejaVuSans-58\"/>\n",
       "      <use x=\"707.226562\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"739.013672\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"802.636719\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "      <use x=\"834.423828\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use x=\"898.046875\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"961.669922\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1025.292969\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1088.916016\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1152.539062\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      <use x=\"1216.162109\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1279.785156\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "      <use x=\"1343.408203\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      <use x=\"1407.03125\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      <use x=\"1470.654297\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1534.277344\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      <use x=\"1597.900391\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use x=\"1661.523438\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      <use x=\"1725.146484\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use x=\"1788.769531\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_74\">\n",
       "     <path d=\"M 383.3 175.441875 \n",
       "L 407.3 175.441875 \n",
       "\" style=\"fill:none;stroke:#17becf;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_75\"/>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- $\\propto\\Delta t^{1/2}$ -->\n",
       "     <defs>\n",
       "      <path d=\"M 25.734375 17.71875 \n",
       "Q 33.796875 17.71875 38.625 29.4375 \n",
       "Q 32.421875 42.234375 25.734375 42.234375 \n",
       "Q 20.84375 42.234375 18.359375 38.71875 \n",
       "Q 15.71875 34.96875 15.71875 29.984375 \n",
       "Q 15.71875 24.515625 18.359375 21.140625 \n",
       "Q 21.09375 17.71875 25.734375 17.71875 \n",
       "z\n",
       "M 60.6875 17.625 \n",
       "L 60.6875 11.1875 \n",
       "L 56.9375 11.1875 \n",
       "Q 53.375 11.1875 50.734375 12.640625 \n",
       "Q 48.09375 13.96875 45.5625 17.046875 \n",
       "Q 44.046875 18.796875 41.65625 22.90625 \n",
       "Q 38.375 17.046875 35.5 14.453125 \n",
       "Q 31.9375 11.328125 26.265625 11.328125 \n",
       "Q 19.671875 11.328125 15.328125 16.265625 \n",
       "Q 10.75 21.4375 10.75 29.984375 \n",
       "Q 10.75 38.1875 15.328125 43.75 \n",
       "Q 19.390625 48.6875 26.375 48.6875 \n",
       "Q 29.9375 48.6875 32.5625 47.21875 \n",
       "Q 35.640625 45.609375 37.75 42.828125 \n",
       "Q 39.703125 40.328125 41.65625 36.96875 \n",
       "Q 44.921875 42.828125 47.796875 45.40625 \n",
       "Q 51.375 48.53125 57.03125 48.53125 \n",
       "L 60.6875 48.53125 \n",
       "L 60.6875 42.140625 \n",
       "L 57.5625 42.140625 \n",
       "Q 50.34375 42.140625 44.671875 30.421875 \n",
       "Q 50.875 17.625 57.5625 17.625 \n",
       "z\n",
       "\" id=\"DejaVuSans-8733\"/>\n",
       "      <path d=\"M 34.1875 63.1875 \n",
       "L 14.15625 8.203125 \n",
       "L 54.25 8.203125 \n",
       "z\n",
       "M 0.78125 0 \n",
       "L 28.609375 72.90625 \n",
       "L 39.796875 72.90625 \n",
       "L 67.578125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-916\"/>\n",
       "      <path d=\"M 42.28125 54.6875 \n",
       "L 40.921875 47.703125 \n",
       "L 23 47.703125 \n",
       "L 17.1875 18.015625 \n",
       "Q 16.890625 16.359375 16.75 15.234375 \n",
       "Q 16.609375 14.109375 16.609375 13.484375 \n",
       "Q 16.609375 10.359375 18.484375 8.9375 \n",
       "Q 20.359375 7.515625 24.515625 7.515625 \n",
       "L 33.59375 7.515625 \n",
       "L 32.078125 0 \n",
       "L 23.484375 0 \n",
       "Q 15.484375 0 11.546875 3.125 \n",
       "Q 7.625 6.25 7.625 12.59375 \n",
       "Q 7.625 13.71875 7.765625 15.0625 \n",
       "Q 7.90625 16.40625 8.203125 18.015625 \n",
       "L 14.015625 47.703125 \n",
       "L 6.390625 47.703125 \n",
       "L 7.8125 54.6875 \n",
       "L 15.28125 54.6875 \n",
       "L 18.3125 70.21875 \n",
       "L 27.296875 70.21875 \n",
       "L 24.3125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-116\"/>\n",
       "      <path d=\"M 25.390625 72.90625 \n",
       "L 33.6875 72.90625 \n",
       "L 8.296875 -9.28125 \n",
       "L 0 -9.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-47\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(416.9 179.641875)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.765625)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.765625)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.765625)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "      <use transform=\"translate(224.658099 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      <use transform=\"translate(269.194232 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-47\"/>\n",
       "      <use transform=\"translate(292.745404 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_76\">\n",
       "     <path d=\"M 383.3 193.055625 \n",
       "L 407.3 193.055625 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_77\"/>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- $\\propto\\Delta t$ -->\n",
       "     <g transform=\"translate(416.9 197.255625)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.09375)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.09375)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_78\">\n",
       "     <path d=\"M 383.3 210.669375 \n",
       "L 407.3 210.669375 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_79\"/>\n",
       "    <g id=\"text_19\">\n",
       "     <!-- $\\propto\\Delta t^{3/2}$ -->\n",
       "     <g transform=\"translate(416.9 214.869375)scale(0.12 -0.12)\">\n",
       "      <use transform=\"translate(19.482422 0.765625)\" xlink:href=\"#DejaVuSans-8733\"/>\n",
       "      <use transform=\"translate(110.400391 0.765625)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(178.808594 0.765625)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n",
       "      <use transform=\"translate(224.658099 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      <use transform=\"translate(269.194232 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-47\"/>\n",
       "      <use transform=\"translate(292.745404 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p884f7db491\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"37.7\" y=\"36.4041\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.subplot(111)\n",
    "\n",
    "mark = \"o*vspx+^<>1hdD\"\n",
    "\n",
    "for i,run in enumerate(stats_multi):\n",
    "    ax.loglog(stepsizes, run[0], mark[i], label=run[1]+\": \" + str(run[2]))\n",
    "\n",
    "ax.loglog(stepsizes, 0.1*np.array(stepsizes)**0.5, label=\"$\\propto\\Delta t^{1/2}$\")\n",
    "ax.loglog(stepsizes, 0.1*np.array(stepsizes)**1, label=\"$\\propto\\Delta t$\")\n",
    "ax.loglog(stepsizes, 0.2*np.array(stepsizes)**1.5, label=\"$\\propto\\Delta t^{3/2}$\")\n",
    "\n",
    "lgd=ax.legend(loc='center left', bbox_to_anchor=(1, 0.64), prop={'size':12})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Versions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table><tr><th>Software</th><th>Version</th></tr><tr><td>QuTiP</td><td>4.4.0.dev0+1cf1dd3e</td></tr><tr><td>Numpy</td><td>1.16.0</td></tr><tr><td>SciPy</td><td>1.2.0</td></tr><tr><td>matplotlib</td><td>3.0.2</td></tr><tr><td>Cython</td><td>0.29.2</td></tr><tr><td>Number of CPUs</td><td>2</td></tr><tr><td>BLAS Info</td><td>OPENBLAS</td></tr><tr><td>IPython</td><td>7.2.0</td></tr><tr><td>Python</td><td>3.6.7 (default, Oct 22 2018, 11:32:17) \n",
       "[GCC 8.2.0]</td></tr><tr><td>OS</td><td>posix [linux]</td></tr><tr><td colspan='2'>Wed Jan 16 16:53:54 2019 JST</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qutip.ipynbtools import version_table\n",
    "\n",
    "version_table()"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}