p03.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# p03: Band-limited interpolation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will interpolate following functions using band limited interpolation on an infinite grid.\n",
    "\n",
    "Delta function\n",
    "$$\n",
    "v(x) = \\begin{cases}\n",
    "1 & x =0 \\\\\n",
    "0 & otherwise\n",
    "\\end{cases}\n",
    "$$\n",
    "\n",
    "Square wave\n",
    "$$\n",
    "v(x) = \\begin{cases}\n",
    "1 & |x| \\le 3 \\\\\n",
    "0 & otherwise\n",
    "\\end{cases}\n",
    "$$\n",
    "\n",
    "Hat function\n",
    "$$\n",
    "v(x) = \\max(0, 1-|x|/3)\n",
    "$$\n",
    "\n",
    "Since all functions are zero away from origin, we can restrict to some finite interval, say $[-10,10]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format='svg'\n",
    "from numpy import arange,maximum,abs,zeros,sin,pi\n",
    "from matplotlib.pyplot import subplot,figure,plot,grid,axis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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=\"436.668648pt\" version=\"1.1\" viewBox=\"0 0 614.815625 436.668648\" width=\"614.815625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2020-12-24T11:46:51.510483</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.3.2, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 436.668648 \n",
       "L 614.815625 436.668648 \n",
       "L 614.815625 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 38.482813 129.173132 \n",
       "L 596.482813 129.173132 \n",
       "L 596.482813 10.999219 \n",
       "L 38.482813 10.999219 \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",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 38.482813 129.173132 \n",
       "L 38.482813 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"mb36ef28929\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mb36ef28929\" y=\"129.173132\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- −10.0 -->\n",
       "      <g transform=\"translate(23.160156 143.771569)scale(0.1 -0.1)\">\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",
       "        <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 10.6875 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",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"211.035156\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 108.232812 129.173132 \n",
       "L 108.232812 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"108.232812\" xlink:href=\"#mb36ef28929\" y=\"129.173132\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- −7.5 -->\n",
       "      <g transform=\"translate(96.091406 143.771569)scale(0.1 -0.1)\">\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",
       "        <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",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 177.982813 129.173132 \n",
       "L 177.982813 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"177.982813\" xlink:href=\"#mb36ef28929\" y=\"129.173132\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- −5.0 -->\n",
       "      <g transform=\"translate(165.841406 143.771569)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 247.732813 129.173132 \n",
       "L 247.732813 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"247.732813\" xlink:href=\"#mb36ef28929\" y=\"129.173132\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- −2.5 -->\n",
       "      <g transform=\"translate(235.591406 143.771569)scale(0.1 -0.1)\">\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",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 317.482813 129.173132 \n",
       "L 317.482813 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"317.482813\" xlink:href=\"#mb36ef28929\" y=\"129.173132\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(309.53125 143.771569)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=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 387.232813 129.173132 \n",
       "L 387.232813 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"387.232813\" xlink:href=\"#mb36ef28929\" y=\"129.173132\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 2.5 -->\n",
       "      <g transform=\"translate(379.28125 143.771569)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 456.982813 129.173132 \n",
       "L 456.982813 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"456.982813\" xlink:href=\"#mb36ef28929\" y=\"129.173132\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 5.0 -->\n",
       "      <g transform=\"translate(449.03125 143.771569)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 526.732813 129.173132 \n",
       "L 526.732813 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"526.732813\" xlink:href=\"#mb36ef28929\" y=\"129.173132\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 7.5 -->\n",
       "      <g transform=\"translate(518.78125 143.771569)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 596.482813 129.173132 \n",
       "L 596.482813 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"596.482813\" xlink:href=\"#mb36ef28929\" y=\"129.173132\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 10.0 -->\n",
       "      <g transform=\"translate(585.35 143.771569)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-46\"/>\n",
       "       <use x=\"159.033203\" 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_19\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 38.482813 129.173132 \n",
       "L 596.482813 129.173132 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m3750a6dfdd\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"129.173132\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- −0.5 -->\n",
       "      <g transform=\"translate(7.2 132.972351)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 38.482813 99.629654 \n",
       "L 596.482813 99.629654 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"99.629654\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(15.579688 103.428872)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_3\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 38.482813 70.086175 \n",
       "L 596.482813 70.086175 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"70.086175\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(15.579688 73.885394)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",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 38.482813 40.542697 \n",
       "L 596.482813 40.542697 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"40.542697\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(15.579688 44.341916)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\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_5\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <path clip-path=\"url(#pfde2596ec1)\" d=\"M 38.482813 10.999219 \n",
       "L 596.482813 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"10.999219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 1.5 -->\n",
       "      <g transform=\"translate(15.579688 14.798438)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_29\">\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=\"m313a757b6c\" style=\"stroke:#1f77b4;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pfde2596ec1)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"38.482813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"66.382812\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"94.282813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"122.182813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"150.082813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"177.982813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"205.882812\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"233.782813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"261.682813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"289.582813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"317.482813\" xlink:href=\"#m313a757b6c\" y=\"40.542697\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"345.382812\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"373.282813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"401.182813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"429.082813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"456.982813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"484.882812\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"512.782813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"540.682813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"568.582813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"596.482813\" xlink:href=\"#m313a757b6c\" y=\"99.629654\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_30\">\n",
       "    <path clip-path=\"url(#pfde2596ec1)\" d=\"M 37.087812 99.336896 \n",
       "L 45.457812 100.993678 \n",
       "L 48.247812 101.366236 \n",
       "L 51.037812 101.574827 \n",
       "L 53.827812 101.595411 \n",
       "L 56.617812 101.421955 \n",
       "L 59.407812 101.067409 \n",
       "L 64.987812 99.95476 \n",
       "L 70.567812 98.664836 \n",
       "L 73.357812 98.109741 \n",
       "L 76.147812 97.692311 \n",
       "L 78.937812 97.456975 \n",
       "L 81.727812 97.431262 \n",
       "L 84.517812 97.622705 \n",
       "L 87.307812 98.017625 \n",
       "L 90.097812 98.581968 \n",
       "L 101.257812 101.345684 \n",
       "L 104.047812 101.820244 \n",
       "L 106.837812 102.090105 \n",
       "L 109.627812 102.123131 \n",
       "L 112.417812 101.909656 \n",
       "L 115.207812 101.464031 \n",
       "L 117.997812 100.823868 \n",
       "L 129.157812 97.659396 \n",
       "L 131.947812 97.109651 \n",
       "L 134.737812 96.793561 \n",
       "L 137.527812 96.749591 \n",
       "L 140.317812 96.990596 \n",
       "L 143.107812 97.501775 \n",
       "L 145.897812 98.241257 \n",
       "L 151.477812 100.124143 \n",
       "L 157.057812 101.942564 \n",
       "L 159.847812 102.595674 \n",
       "L 162.637812 102.976754 \n",
       "L 165.427812 103.038168 \n",
       "L 168.217812 102.761993 \n",
       "L 171.007812 102.162842 \n",
       "L 173.797812 101.287641 \n",
       "L 179.377812 99.035267 \n",
       "L 182.167812 97.86911 \n",
       "L 184.957812 96.829814 \n",
       "L 187.747812 96.025779 \n",
       "L 190.537812 95.546927 \n",
       "L 193.327812 95.45518 \n",
       "L 196.117812 95.777236 \n",
       "L 198.907812 96.500421 \n",
       "L 201.697812 97.572151 \n",
       "L 204.487812 98.903181 \n",
       "L 210.067812 101.847481 \n",
       "L 212.857812 103.176117 \n",
       "L 215.647812 104.220891 \n",
       "L 218.437812 104.862444 \n",
       "L 221.227812 105.014119 \n",
       "L 224.017812 104.632047 \n",
       "L 226.807812 103.721727 \n",
       "L 229.597812 102.340332 \n",
       "L 232.387812 100.594314 \n",
       "L 240.757812 94.793567 \n",
       "L 243.547812 93.305873 \n",
       "L 246.337812 92.344789 \n",
       "L 249.127812 92.047447 \n",
       "L 251.917812 92.498582 \n",
       "L 254.707812 93.718881 \n",
       "L 257.497812 95.658195 \n",
       "L 260.287812 98.194427 \n",
       "L 263.077812 101.138481 \n",
       "L 268.657812 107.229218 \n",
       "L 271.447812 109.786028 \n",
       "L 274.237812 111.614431 \n",
       "L 277.027812 112.440967 \n",
       "L 279.817812 112.043 \n",
       "L 282.607812 110.269044 \n",
       "L 285.397812 107.054555 \n",
       "L 288.187812 102.431762 \n",
       "L 290.977812 96.532587 \n",
       "L 293.767812 89.584199 \n",
       "L 296.557812 81.897337 \n",
       "L 302.137812 65.854371 \n",
       "L 304.927812 58.348753 \n",
       "L 307.717812 51.749604 \n",
       "L 310.507812 46.432703 \n",
       "L 313.297812 42.705412 \n",
       "L 316.087812 40.785383 \n",
       "L 318.877812 40.785383 \n",
       "L 321.667812 42.705412 \n",
       "L 324.457812 46.432703 \n",
       "L 327.247812 51.749604 \n",
       "L 330.037812 58.348753 \n",
       "L 332.827812 65.854371 \n",
       "L 341.197812 89.584199 \n",
       "L 343.987812 96.532587 \n",
       "L 346.777812 102.431762 \n",
       "L 349.567812 107.054555 \n",
       "L 352.357812 110.269044 \n",
       "L 355.147812 112.043 \n",
       "L 357.937812 112.440967 \n",
       "L 360.727812 111.614431 \n",
       "L 363.517812 109.786028 \n",
       "L 366.307812 107.229218 \n",
       "L 374.677812 98.194427 \n",
       "L 377.467812 95.658195 \n",
       "L 380.257812 93.718881 \n",
       "L 383.047812 92.498582 \n",
       "L 385.837812 92.047447 \n",
       "L 388.627812 92.344789 \n",
       "L 391.417812 93.305873 \n",
       "L 394.207812 94.793567 \n",
       "L 396.997812 96.633641 \n",
       "L 402.577812 100.594314 \n",
       "L 405.367812 102.340332 \n",
       "L 408.157812 103.721727 \n",
       "L 410.947812 104.632047 \n",
       "L 413.737812 105.014119 \n",
       "L 416.527812 104.862444 \n",
       "L 419.317812 104.220891 \n",
       "L 422.107812 103.176117 \n",
       "L 424.897812 101.847481 \n",
       "L 430.477812 98.903181 \n",
       "L 433.267812 97.572151 \n",
       "L 436.057812 96.500421 \n",
       "L 438.847812 95.777236 \n",
       "L 441.637812 95.45518 \n",
       "L 444.427812 95.546927 \n",
       "L 447.217812 96.025779 \n",
       "L 450.007812 96.829814 \n",
       "L 452.797812 97.86911 \n",
       "L 461.167812 101.287641 \n",
       "L 463.957812 102.162842 \n",
       "L 466.747812 102.761993 \n",
       "L 469.537812 103.038168 \n",
       "L 472.327812 102.976754 \n",
       "L 475.117812 102.595674 \n",
       "L 477.907812 101.942564 \n",
       "L 483.487812 100.124143 \n",
       "L 489.067812 98.241257 \n",
       "L 491.857812 97.501775 \n",
       "L 494.647812 96.990596 \n",
       "L 497.437812 96.749591 \n",
       "L 500.227812 96.793561 \n",
       "L 503.017812 97.109651 \n",
       "L 505.807812 97.659396 \n",
       "L 511.387812 99.206313 \n",
       "L 516.967812 100.823868 \n",
       "L 519.757812 101.464031 \n",
       "L 522.547812 101.909656 \n",
       "L 525.337812 102.123131 \n",
       "L 528.127812 102.090105 \n",
       "L 530.917812 101.820244 \n",
       "L 533.707812 101.345684 \n",
       "L 539.287812 99.999743 \n",
       "L 544.867812 98.581968 \n",
       "L 547.657812 98.017625 \n",
       "L 550.447812 97.622705 \n",
       "L 553.237812 97.431262 \n",
       "L 556.027812 97.456975 \n",
       "L 558.817812 97.692311 \n",
       "L 561.607812 98.109741 \n",
       "L 567.187812 99.300915 \n",
       "L 572.767812 100.562838 \n",
       "L 575.557812 101.067409 \n",
       "L 578.347812 101.421955 \n",
       "L 581.137812 101.595411 \n",
       "L 583.927812 101.574827 \n",
       "L 586.717812 101.366236 \n",
       "L 589.507812 100.993678 \n",
       "L 595.087812 99.925353 \n",
       "L 595.087812 99.925353 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 38.482813 129.173132 \n",
       "L 38.482813 10.999219 \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 596.482813 129.173132 \n",
       "L 596.482813 10.999219 \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 38.482813 129.173132 \n",
       "L 596.482813 129.173132 \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 38.482813 10.999219 \n",
       "L 596.482813 10.999219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 38.482813 270.981827 \n",
       "L 596.482813 270.981827 \n",
       "L 596.482813 152.807914 \n",
       "L 38.482813 152.807914 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 38.482813 270.981827 \n",
       "L 38.482813 152.807914 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mb36ef28929\" y=\"270.981827\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- −10.0 -->\n",
       "      <g transform=\"translate(23.160156 285.580265)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"211.035156\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 108.232812 270.981827 \n",
       "L 108.232812 152.807914 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"108.232812\" xlink:href=\"#mb36ef28929\" y=\"270.981827\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- −7.5 -->\n",
       "      <g transform=\"translate(96.091406 285.580265)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 177.982813 270.981827 \n",
       "L 177.982813 152.807914 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"177.982813\" xlink:href=\"#mb36ef28929\" y=\"270.981827\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- −5.0 -->\n",
       "      <g transform=\"translate(165.841406 285.580265)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 247.732813 270.981827 \n",
       "L 247.732813 152.807914 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"247.732813\" xlink:href=\"#mb36ef28929\" y=\"270.981827\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- −2.5 -->\n",
       "      <g transform=\"translate(235.591406 285.580265)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_14\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 317.482813 270.981827 \n",
       "L 317.482813 152.807914 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"317.482813\" xlink:href=\"#mb36ef28929\" y=\"270.981827\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(309.53125 285.580265)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=\"xtick_15\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 387.232813 270.981827 \n",
       "L 387.232813 152.807914 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"387.232813\" xlink:href=\"#mb36ef28929\" y=\"270.981827\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- 2.5 -->\n",
       "      <g transform=\"translate(379.28125 285.580265)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_16\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 456.982813 270.981827 \n",
       "L 456.982813 152.807914 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"456.982813\" xlink:href=\"#mb36ef28929\" y=\"270.981827\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- 5.0 -->\n",
       "      <g transform=\"translate(449.03125 285.580265)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_17\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 526.732813 270.981827 \n",
       "L 526.732813 152.807914 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_46\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"526.732813\" xlink:href=\"#mb36ef28929\" y=\"270.981827\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_22\">\n",
       "      <!-- 7.5 -->\n",
       "      <g transform=\"translate(518.78125 285.580265)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_18\">\n",
       "     <g id=\"line2d_47\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 596.482813 270.981827 \n",
       "L 596.482813 152.807914 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_48\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"596.482813\" xlink:href=\"#mb36ef28929\" y=\"270.981827\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_23\">\n",
       "      <!-- 10.0 -->\n",
       "      <g transform=\"translate(585.35 285.580265)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-46\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_49\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 38.482813 270.981827 \n",
       "L 596.482813 270.981827 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_50\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"270.981827\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_24\">\n",
       "      <!-- −0.5 -->\n",
       "      <g transform=\"translate(7.2 274.781046)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_51\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 38.482813 241.438349 \n",
       "L 596.482813 241.438349 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_52\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"241.438349\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_25\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(15.579688 245.237568)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_8\">\n",
       "     <g id=\"line2d_53\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 38.482813 211.894871 \n",
       "L 596.482813 211.894871 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_54\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"211.894871\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_26\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(15.579688 215.69409)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",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_55\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 38.482813 182.351393 \n",
       "L 596.482813 182.351393 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_56\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"182.351393\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_27\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(15.579688 186.150611)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\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_10\">\n",
       "     <g id=\"line2d_57\">\n",
       "      <path clip-path=\"url(#pdad7e62b25)\" d=\"M 38.482813 152.807914 \n",
       "L 596.482813 152.807914 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_58\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"152.807914\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_28\">\n",
       "      <!-- 1.5 -->\n",
       "      <g transform=\"translate(15.579688 156.607133)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_59\">\n",
       "    <g clip-path=\"url(#pdad7e62b25)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"38.482813\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"66.382812\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"94.282813\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"122.182813\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"150.082813\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"177.982813\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"205.882812\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"233.782813\" xlink:href=\"#m313a757b6c\" y=\"182.351393\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"261.682813\" xlink:href=\"#m313a757b6c\" y=\"182.351393\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"289.582813\" xlink:href=\"#m313a757b6c\" y=\"182.351393\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"317.482813\" xlink:href=\"#m313a757b6c\" y=\"182.351393\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"345.382812\" xlink:href=\"#m313a757b6c\" y=\"182.351393\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"373.282813\" xlink:href=\"#m313a757b6c\" y=\"182.351393\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"401.182813\" xlink:href=\"#m313a757b6c\" y=\"182.351393\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"429.082813\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"456.982813\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"484.882812\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"512.782813\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"540.682813\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"568.582813\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"596.482813\" xlink:href=\"#m313a757b6c\" y=\"241.438349\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_60\">\n",
       "    <path clip-path=\"url(#pdad7e62b25)\" d=\"M 37.087812 241.770095 \n",
       "L 45.457812 239.879868 \n",
       "L 48.247812 239.448365 \n",
       "L 51.037812 239.202561 \n",
       "L 53.827812 239.171796 \n",
       "L 56.617812 239.365068 \n",
       "L 59.407812 239.769591 \n",
       "L 62.197812 240.35145 \n",
       "L 73.357812 243.235856 \n",
       "L 76.147812 243.739131 \n",
       "L 78.937812 244.029852 \n",
       "L 81.727812 244.072391 \n",
       "L 84.517812 243.854332 \n",
       "L 87.307812 243.388431 \n",
       "L 90.097812 242.712206 \n",
       "L 95.677812 240.983468 \n",
       "L 101.257812 239.304167 \n",
       "L 104.047812 238.696799 \n",
       "L 106.837812 238.338779 \n",
       "L 109.627812 238.275525 \n",
       "L 112.417812 238.525437 \n",
       "L 115.207812 239.077044 \n",
       "L 117.997812 239.888907 \n",
       "L 123.577812 241.997027 \n",
       "L 129.157812 244.087769 \n",
       "L 131.947812 244.86156 \n",
       "L 134.737812 245.332366 \n",
       "L 137.527812 245.437636 \n",
       "L 140.317812 245.146962 \n",
       "L 143.107812 244.466604 \n",
       "L 145.897812 243.44083 \n",
       "L 148.687812 242.149786 \n",
       "L 157.057812 237.887658 \n",
       "L 159.847812 236.801198 \n",
       "L 162.637812 236.102328 \n",
       "L 165.427812 235.889673 \n",
       "L 168.217812 236.223589 \n",
       "L 171.007812 237.118076 \n",
       "L 173.797812 238.536187 \n",
       "L 176.587812 240.389454 \n",
       "L 182.167812 244.815904 \n",
       "L 184.957812 247.007135 \n",
       "L 187.747812 248.894915 \n",
       "L 190.537812 250.259784 \n",
       "L 193.327812 250.899378 \n",
       "L 196.117812 250.643884 \n",
       "L 198.907812 249.369496 \n",
       "L 201.697812 247.008773 \n",
       "L 204.487812 243.557054 \n",
       "L 207.277812 239.074376 \n",
       "L 210.067812 233.682725 \n",
       "L 212.857812 227.558787 \n",
       "L 218.437812 214.024051 \n",
       "L 224.017812 200.483832 \n",
       "L 226.807812 194.338167 \n",
       "L 229.597812 188.890317 \n",
       "L 232.387812 184.295448 \n",
       "L 235.177812 180.653446 \n",
       "L 237.967812 178.004999 \n",
       "L 240.757812 176.332094 \n",
       "L 243.547812 175.562713 \n",
       "L 246.337812 175.579243 \n",
       "L 249.127812 176.229781 \n",
       "L 251.917812 177.341325 \n",
       "L 257.497812 180.233259 \n",
       "L 260.287812 181.684698 \n",
       "L 263.077812 182.961064 \n",
       "L 265.867812 183.970305 \n",
       "L 268.657812 184.658573 \n",
       "L 271.447812 185.010038 \n",
       "L 274.237812 185.043457 \n",
       "L 277.027812 184.806044 \n",
       "L 279.817812 184.36536 \n",
       "L 290.977812 182.120225 \n",
       "L 293.767812 181.759389 \n",
       "L 296.557812 181.54764 \n",
       "L 299.347812 181.482842 \n",
       "L 304.927812 181.695652 \n",
       "L 313.297812 182.25224 \n",
       "L 318.877812 182.340021 \n",
       "L 324.457812 182.09325 \n",
       "L 332.827812 181.543977 \n",
       "L 335.617812 181.482842 \n",
       "L 338.407812 181.54764 \n",
       "L 341.197812 181.759389 \n",
       "L 343.987812 182.120225 \n",
       "L 349.567812 183.19075 \n",
       "L 355.147812 184.36536 \n",
       "L 357.937812 184.806044 \n",
       "L 360.727812 185.043457 \n",
       "L 363.517812 185.010038 \n",
       "L 366.307812 184.658573 \n",
       "L 369.097812 183.970305 \n",
       "L 371.887812 182.961064 \n",
       "L 374.677812 181.684698 \n",
       "L 383.047812 177.341325 \n",
       "L 385.837812 176.229781 \n",
       "L 388.627812 175.579243 \n",
       "L 391.417812 175.562713 \n",
       "L 394.207812 176.332094 \n",
       "L 396.997812 178.004999 \n",
       "L 399.787812 180.653446 \n",
       "L 402.577812 184.295448 \n",
       "L 405.367812 188.890317 \n",
       "L 408.157812 194.338167 \n",
       "L 410.947812 200.483832 \n",
       "L 416.527812 214.024051 \n",
       "L 422.107812 227.558787 \n",
       "L 424.897812 233.682725 \n",
       "L 427.687812 239.074376 \n",
       "L 430.477812 243.557054 \n",
       "L 433.267812 247.008773 \n",
       "L 436.057812 249.369496 \n",
       "L 438.847812 250.643884 \n",
       "L 441.637812 250.899378 \n",
       "L 444.427812 250.259784 \n",
       "L 447.217812 248.894915 \n",
       "L 450.007812 247.007135 \n",
       "L 458.377812 240.389454 \n",
       "L 461.167812 238.536187 \n",
       "L 463.957812 237.118076 \n",
       "L 466.747812 236.223589 \n",
       "L 469.537812 235.889673 \n",
       "L 472.327812 236.102328 \n",
       "L 475.117812 236.801198 \n",
       "L 477.907812 237.887658 \n",
       "L 483.487812 240.703967 \n",
       "L 486.277812 242.149786 \n",
       "L 489.067812 243.44083 \n",
       "L 491.857812 244.466604 \n",
       "L 494.647812 245.146962 \n",
       "L 497.437812 245.437636 \n",
       "L 500.227812 245.332366 \n",
       "L 503.017812 244.86156 \n",
       "L 505.807812 244.087769 \n",
       "L 511.387812 241.997027 \n",
       "L 516.967812 239.888907 \n",
       "L 519.757812 239.077044 \n",
       "L 522.547812 238.525437 \n",
       "L 525.337812 238.275525 \n",
       "L 528.127812 238.338779 \n",
       "L 530.917812 238.696799 \n",
       "L 533.707812 239.304167 \n",
       "L 539.287812 240.983468 \n",
       "L 544.867812 242.712206 \n",
       "L 547.657812 243.388431 \n",
       "L 550.447812 243.854332 \n",
       "L 553.237812 244.072391 \n",
       "L 556.027812 244.029852 \n",
       "L 558.817812 243.739131 \n",
       "L 561.607812 243.235856 \n",
       "L 567.187812 241.824064 \n",
       "L 572.767812 240.35145 \n",
       "L 575.557812 239.769591 \n",
       "L 578.347812 239.365068 \n",
       "L 581.137812 239.171796 \n",
       "L 583.927812 239.202561 \n",
       "L 586.717812 239.448365 \n",
       "L 589.507812 239.879868 \n",
       "L 595.087812 241.102377 \n",
       "L 595.087812 241.102377 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 38.482813 270.981827 \n",
       "L 38.482813 152.807914 \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 596.482813 270.981827 \n",
       "L 596.482813 152.807914 \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 38.482813 270.981827 \n",
       "L 596.482813 270.981827 \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 38.482813 152.807914 \n",
       "L 596.482813 152.807914 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_3\">\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 38.482813 412.790523 \n",
       "L 596.482813 412.790523 \n",
       "L 596.482813 294.61661 \n",
       "L 38.482813 294.61661 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_5\">\n",
       "    <g id=\"xtick_19\">\n",
       "     <g id=\"line2d_61\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 38.482813 412.790523 \n",
       "L 38.482813 294.61661 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_62\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mb36ef28929\" y=\"412.790523\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_29\">\n",
       "      <!-- −10.0 -->\n",
       "      <g transform=\"translate(23.160156 427.388961)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"211.035156\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_20\">\n",
       "     <g id=\"line2d_63\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 108.232812 412.790523 \n",
       "L 108.232812 294.61661 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_64\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"108.232812\" xlink:href=\"#mb36ef28929\" y=\"412.790523\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_30\">\n",
       "      <!-- −7.5 -->\n",
       "      <g transform=\"translate(96.091406 427.388961)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_21\">\n",
       "     <g id=\"line2d_65\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 177.982813 412.790523 \n",
       "L 177.982813 294.61661 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_66\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"177.982813\" xlink:href=\"#mb36ef28929\" y=\"412.790523\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_31\">\n",
       "      <!-- −5.0 -->\n",
       "      <g transform=\"translate(165.841406 427.388961)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_22\">\n",
       "     <g id=\"line2d_67\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 247.732813 412.790523 \n",
       "L 247.732813 294.61661 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_68\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"247.732813\" xlink:href=\"#mb36ef28929\" y=\"412.790523\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_32\">\n",
       "      <!-- −2.5 -->\n",
       "      <g transform=\"translate(235.591406 427.388961)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_23\">\n",
       "     <g id=\"line2d_69\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 317.482813 412.790523 \n",
       "L 317.482813 294.61661 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_70\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"317.482813\" xlink:href=\"#mb36ef28929\" y=\"412.790523\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_33\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(309.53125 427.388961)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=\"xtick_24\">\n",
       "     <g id=\"line2d_71\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 387.232813 412.790523 \n",
       "L 387.232813 294.61661 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_72\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"387.232813\" xlink:href=\"#mb36ef28929\" y=\"412.790523\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_34\">\n",
       "      <!-- 2.5 -->\n",
       "      <g transform=\"translate(379.28125 427.388961)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_25\">\n",
       "     <g id=\"line2d_73\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 456.982813 412.790523 \n",
       "L 456.982813 294.61661 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_74\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"456.982813\" xlink:href=\"#mb36ef28929\" y=\"412.790523\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_35\">\n",
       "      <!-- 5.0 -->\n",
       "      <g transform=\"translate(449.03125 427.388961)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_26\">\n",
       "     <g id=\"line2d_75\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 526.732813 412.790523 \n",
       "L 526.732813 294.61661 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_76\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"526.732813\" xlink:href=\"#mb36ef28929\" y=\"412.790523\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_36\">\n",
       "      <!-- 7.5 -->\n",
       "      <g transform=\"translate(518.78125 427.388961)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_27\">\n",
       "     <g id=\"line2d_77\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 596.482813 412.790523 \n",
       "L 596.482813 294.61661 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_78\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"596.482813\" xlink:href=\"#mb36ef28929\" y=\"412.790523\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_37\">\n",
       "      <!-- 10.0 -->\n",
       "      <g transform=\"translate(585.35 427.388961)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-46\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_6\">\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_79\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 38.482813 412.790523 \n",
       "L 596.482813 412.790523 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_80\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"412.790523\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_38\">\n",
       "      <!-- −0.5 -->\n",
       "      <g transform=\"translate(7.2 416.589742)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_81\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 38.482813 383.247045 \n",
       "L 596.482813 383.247045 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_82\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"383.247045\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_39\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(15.579688 387.046264)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_13\">\n",
       "     <g id=\"line2d_83\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 38.482813 353.703567 \n",
       "L 596.482813 353.703567 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_84\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"353.703567\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_40\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(15.579688 357.502785)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",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_85\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 38.482813 324.160088 \n",
       "L 596.482813 324.160088 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_86\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"324.160088\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_41\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(15.579688 327.959307)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\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_15\">\n",
       "     <g id=\"line2d_87\">\n",
       "      <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 38.482813 294.61661 \n",
       "L 596.482813 294.61661 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_88\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m3750a6dfdd\" y=\"294.61661\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_42\">\n",
       "      <!-- 1.5 -->\n",
       "      <g transform=\"translate(15.579688 298.415829)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_89\">\n",
       "    <g clip-path=\"url(#pce61e5d7b2)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"38.482813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"66.382812\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"94.282813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"122.182813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"150.082813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"177.982813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"205.882812\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"233.782813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"261.682813\" xlink:href=\"#m313a757b6c\" y=\"363.551393\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"289.582813\" xlink:href=\"#m313a757b6c\" y=\"343.85574\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"317.482813\" xlink:href=\"#m313a757b6c\" y=\"324.160088\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"345.382812\" xlink:href=\"#m313a757b6c\" y=\"343.85574\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"373.282813\" xlink:href=\"#m313a757b6c\" y=\"363.551393\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"401.182813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"429.082813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"456.982813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"484.882812\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"512.782813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"540.682813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"568.582813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"596.482813\" xlink:href=\"#m313a757b6c\" y=\"383.247045\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_90\">\n",
       "    <path clip-path=\"url(#pce61e5d7b2)\" d=\"M 37.087812 383.145314 \n",
       "L 48.247812 383.852732 \n",
       "L 53.827812 383.934067 \n",
       "L 59.407812 383.750634 \n",
       "L 67.777812 383.131487 \n",
       "L 76.147812 382.563308 \n",
       "L 81.727812 382.468907 \n",
       "L 87.307812 382.67465 \n",
       "L 95.677812 383.379145 \n",
       "L 101.257812 383.86194 \n",
       "L 106.837812 384.132406 \n",
       "L 112.417812 384.071257 \n",
       "L 117.997812 383.680929 \n",
       "L 131.947812 382.317711 \n",
       "L 137.527812 382.177355 \n",
       "L 143.107812 382.450457 \n",
       "L 148.687812 383.063375 \n",
       "L 157.057812 384.134056 \n",
       "L 162.637812 384.546013 \n",
       "L 165.427812 384.578516 \n",
       "L 168.217812 384.479199 \n",
       "L 171.007812 384.250976 \n",
       "L 176.587812 383.481801 \n",
       "L 184.957812 382.084674 \n",
       "L 187.747812 381.733415 \n",
       "L 190.537812 381.510593 \n",
       "L 193.327812 381.447135 \n",
       "L 196.117812 381.561073 \n",
       "L 198.907812 381.855103 \n",
       "L 201.697812 382.315368 \n",
       "L 207.277812 383.598517 \n",
       "L 212.857812 385.007049 \n",
       "L 215.647812 385.593978 \n",
       "L 218.437812 386.012067 \n",
       "L 221.227812 386.200333 \n",
       "L 224.017812 386.109007 \n",
       "L 226.807812 385.703308 \n",
       "L 229.597812 384.966045 \n",
       "L 232.387812 383.898814 \n",
       "L 235.177812 382.521661 \n",
       "L 237.967812 380.871237 \n",
       "L 240.757812 378.997591 \n",
       "L 246.337812 374.821222 \n",
       "L 254.707812 368.381854 \n",
       "L 260.287812 364.466083 \n",
       "L 265.867812 360.932741 \n",
       "L 274.237812 355.842354 \n",
       "L 277.027812 354.019349 \n",
       "L 279.817812 352.05992 \n",
       "L 282.607812 349.934538 \n",
       "L 285.397812 347.629887 \n",
       "L 290.977812 342.527932 \n",
       "L 302.137812 331.783164 \n",
       "L 304.927812 329.457689 \n",
       "L 307.717812 327.463284 \n",
       "L 310.507812 325.884407 \n",
       "L 313.297812 324.790441 \n",
       "L 316.087812 324.230669 \n",
       "L 318.877812 324.230669 \n",
       "L 321.667812 324.790441 \n",
       "L 324.457812 325.884407 \n",
       "L 327.247812 327.463284 \n",
       "L 330.037812 329.457689 \n",
       "L 332.827812 331.783164 \n",
       "L 338.407812 337.050905 \n",
       "L 343.987812 342.527932 \n",
       "L 349.567812 347.629887 \n",
       "L 352.357812 349.934538 \n",
       "L 355.147812 352.05992 \n",
       "L 357.937812 354.019349 \n",
       "L 363.517812 357.570252 \n",
       "L 371.887812 362.659785 \n",
       "L 377.467812 366.372057 \n",
       "L 383.047812 370.482311 \n",
       "L 394.207812 378.997591 \n",
       "L 396.997812 380.871237 \n",
       "L 399.787812 382.521661 \n",
       "L 402.577812 383.898814 \n",
       "L 405.367812 384.966045 \n",
       "L 408.157812 385.703308 \n",
       "L 410.947812 386.109007 \n",
       "L 413.737812 386.200333 \n",
       "L 416.527812 386.012067 \n",
       "L 419.317812 385.593978 \n",
       "L 424.897812 384.31886 \n",
       "L 430.477812 382.911576 \n",
       "L 433.267812 382.315368 \n",
       "L 436.057812 381.855103 \n",
       "L 438.847812 381.561073 \n",
       "L 441.637812 381.447135 \n",
       "L 444.427812 381.510593 \n",
       "L 447.217812 381.733415 \n",
       "L 452.797812 382.523941 \n",
       "L 461.167812 383.909398 \n",
       "L 463.957812 384.250976 \n",
       "L 466.747812 384.479199 \n",
       "L 469.537812 384.578516 \n",
       "L 472.327812 384.546013 \n",
       "L 477.907812 384.134056 \n",
       "L 494.647812 382.263093 \n",
       "L 500.227812 382.197518 \n",
       "L 505.807812 382.522831 \n",
       "L 522.547812 384.071257 \n",
       "L 528.127812 384.132406 \n",
       "L 533.707812 383.86194 \n",
       "L 550.447812 382.535569 \n",
       "L 556.027812 382.479152 \n",
       "L 561.607812 382.71137 \n",
       "L 578.347812 383.874119 \n",
       "L 583.927812 383.926167 \n",
       "L 589.507812 383.722329 \n",
       "L 595.087812 383.349889 \n",
       "L 595.087812 383.349889 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path d=\"M 38.482813 412.790523 \n",
       "L 38.482813 294.61661 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path d=\"M 596.482813 412.790523 \n",
       "L 596.482813 294.61661 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 38.482813 412.790523 \n",
       "L 596.482813 412.790523 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 38.482813 294.61661 \n",
       "L 596.482813 294.61661 \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=\"pfde2596ec1\">\n",
       "   <rect height=\"118.173913\" width=\"558\" x=\"38.482813\" y=\"10.999219\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pdad7e62b25\">\n",
       "   <rect height=\"118.173913\" width=\"558\" x=\"38.482813\" y=\"152.807914\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pce61e5d7b2\">\n",
       "   <rect height=\"118.173913\" width=\"558\" x=\"38.482813\" y=\"294.61661\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h = 1.0;\n",
    "xmax = 10.0;\n",
    "x = arange(-xmax,xmax+h,h)\n",
    "xx = arange(-xmax-h/20, xmax+h/20, h/10)\n",
    "figure(figsize=(10,10))\n",
    "for pl in range(3):\n",
    "    subplot(4,1,pl+1)\n",
    "    if pl==0:\n",
    "        v = (x==0)                      # delta function\n",
    "    elif pl==1:\n",
    "        v = (abs(x) <= 3.0)             # square wave\n",
    "    else:\n",
    "        v = maximum(0.0,1.0-abs(x)/3.0) # hat function\n",
    "    plot(x,v,'o')\n",
    "    grid(True)\n",
    "    p = zeros(len(xx))\n",
    "    for i in range(len(x)):\n",
    "        p = p + v[i]*sin(pi*(xx-x[i])/h)/(pi*(xx-x[i])/h)\n",
    "    plot(xx,p)\n",
    "    axis([-xmax,xmax,-0.5,1.5]);"
   ]
  }
 ],
 "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": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}