p24.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# p24: Pseudospectra of Davies's complex harmonic oscillator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = 'svg'\n",
    "from chebPy import cheb\n",
    "from numpy import dot,argsort,zeros,real,imag,meshgrid,eye,diag,arange\n",
    "from scipy.linalg import solve,eig,svd,svdvals\n",
    "from matplotlib.pyplot import figure,plot,title,axis,contour"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "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",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"449.28pt\" height=\"334.08pt\" viewBox=\"0 0 449.28 334.08\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" 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>2024-12-11T09:54:08.932806</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.9.3, 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-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 334.08 \n",
       "L 449.28 334.08 \n",
       "L 449.28 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 29.47 308.26625 \n",
       "L 434.445 308.26625 \n",
       "L 434.445 11.759062 \n",
       "L 29.47 11.759062 \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 id=\"m6d179e1a63\" d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6d179e1a63\" x=\"29.47\" y=\"308.26625\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(25.6525 324.384375) scale(0.12 -0.12)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSerif-30\" d=\"M 2034 219 \n",
       "Q 2513 219 2750 744 \n",
       "Q 2988 1269 2988 2328 \n",
       "Q 2988 3391 2750 3916 \n",
       "Q 2513 4441 2034 4441 \n",
       "Q 1556 4441 1318 3916 \n",
       "Q 1081 3391 1081 2328 \n",
       "Q 1081 1269 1318 744 \n",
       "Q 1556 219 2034 219 \n",
       "z\n",
       "M 2034 -91 \n",
       "Q 1275 -91 848 546 \n",
       "Q 422 1184 422 2328 \n",
       "Q 422 3475 848 4112 \n",
       "Q 1275 4750 2034 4750 \n",
       "Q 2797 4750 3222 4112 \n",
       "Q 3647 3475 3647 2328 \n",
       "Q 3647 1184 3222 546 \n",
       "Q 2797 -91 2034 -91 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSerif-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6d179e1a63\" x=\"110.465\" y=\"308.26625\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(102.83 324.384375) scale(0.12 -0.12)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSerif-31\" d=\"M 909 0 \n",
       "L 909 331 \n",
       "L 1722 331 \n",
       "L 1722 4213 \n",
       "L 781 3603 \n",
       "L 781 4013 \n",
       "L 1919 4750 \n",
       "L 2350 4750 \n",
       "L 2350 331 \n",
       "L 3163 331 \n",
       "L 3163 0 \n",
       "L 909 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSerif-31\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6d179e1a63\" x=\"191.46\" y=\"308.26625\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(183.825 324.384375) scale(0.12 -0.12)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSerif-32\" d=\"M 819 3553 \n",
       "L 469 3553 \n",
       "L 469 4384 \n",
       "Q 803 4563 1142 4656 \n",
       "Q 1481 4750 1806 4750 \n",
       "Q 2534 4750 2956 4397 \n",
       "Q 3378 4044 3378 3438 \n",
       "Q 3378 2753 2422 1800 \n",
       "Q 2347 1728 2309 1691 \n",
       "L 1131 513 \n",
       "L 3078 513 \n",
       "L 3078 1088 \n",
       "L 3444 1088 \n",
       "L 3444 0 \n",
       "L 434 0 \n",
       "L 434 341 \n",
       "L 1850 1753 \n",
       "Q 2319 2222 2519 2614 \n",
       "Q 2719 3006 2719 3438 \n",
       "Q 2719 3909 2473 4175 \n",
       "Q 2228 4441 1797 4441 \n",
       "Q 1350 4441 1106 4219 \n",
       "Q 863 3997 819 3553 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSerif-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6d179e1a63\" x=\"272.455\" y=\"308.26625\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 30 -->\n",
       "      <g transform=\"translate(264.82 324.384375) scale(0.12 -0.12)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSerif-33\" d=\"M 622 4469 \n",
       "Q 988 4606 1323 4678 \n",
       "Q 1659 4750 1953 4750 \n",
       "Q 2638 4750 3022 4454 \n",
       "Q 3406 4159 3406 3634 \n",
       "Q 3406 3213 3140 2930 \n",
       "Q 2875 2647 2388 2547 \n",
       "Q 2963 2466 3280 2130 \n",
       "Q 3597 1794 3597 1259 \n",
       "Q 3597 606 3158 257 \n",
       "Q 2719 -91 1894 -91 \n",
       "Q 1528 -91 1179 -12 \n",
       "Q 831 66 488 225 \n",
       "L 488 1131 \n",
       "L 838 1131 \n",
       "Q 869 681 1141 450 \n",
       "Q 1413 219 1906 219 \n",
       "Q 2384 219 2661 495 \n",
       "Q 2938 772 2938 1253 \n",
       "Q 2938 1803 2653 2086 \n",
       "Q 2369 2369 1819 2369 \n",
       "L 1522 2369 \n",
       "L 1522 2688 \n",
       "L 1678 2688 \n",
       "Q 2225 2688 2498 2914 \n",
       "Q 2772 3141 2772 3597 \n",
       "Q 2772 4006 2547 4223 \n",
       "Q 2322 4441 1900 4441 \n",
       "Q 1478 4441 1245 4241 \n",
       "Q 1013 4041 972 3647 \n",
       "L 622 3647 \n",
       "L 622 4469 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSerif-33\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6d179e1a63\" x=\"353.45\" y=\"308.26625\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 40 -->\n",
       "      <g transform=\"translate(345.815 324.384375) scale(0.12 -0.12)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSerif-34\" d=\"M 2234 1581 \n",
       "L 2234 4063 \n",
       "L 641 1581 \n",
       "L 2234 1581 \n",
       "z\n",
       "M 3609 0 \n",
       "L 1484 0 \n",
       "L 1484 331 \n",
       "L 2234 331 \n",
       "L 2234 1247 \n",
       "L 197 1247 \n",
       "L 197 1588 \n",
       "L 2241 4750 \n",
       "L 2859 4750 \n",
       "L 2859 1581 \n",
       "L 3750 1581 \n",
       "L 3750 1247 \n",
       "L 2859 1247 \n",
       "L 2859 331 \n",
       "L 3609 331 \n",
       "L 3609 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSerif-34\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6d179e1a63\" x=\"434.445\" y=\"308.26625\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 50 -->\n",
       "      <g transform=\"translate(426.81 324.384375) scale(0.12 -0.12)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSerif-35\" d=\"M 3219 4666 \n",
       "L 3219 4153 \n",
       "L 1081 4153 \n",
       "L 1081 2816 \n",
       "Q 1244 2928 1461 2984 \n",
       "Q 1678 3041 1947 3041 \n",
       "Q 2703 3041 3140 2622 \n",
       "Q 3578 2203 3578 1478 \n",
       "Q 3578 738 3136 323 \n",
       "Q 2694 -91 1894 -91 \n",
       "Q 1572 -91 1234 -12 \n",
       "Q 897 66 544 225 \n",
       "L 544 1131 \n",
       "L 897 1131 \n",
       "Q 925 688 1179 453 \n",
       "Q 1434 219 1894 219 \n",
       "Q 2388 219 2653 544 \n",
       "Q 2919 869 2919 1478 \n",
       "Q 2919 2084 2655 2407 \n",
       "Q 2391 2731 1894 2731 \n",
       "Q 1613 2731 1398 2631 \n",
       "Q 1184 2531 1019 2322 \n",
       "L 750 2322 \n",
       "L 750 4666 \n",
       "L 3219 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSerif-35\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-30\" x=\"63.623047\"/>\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 id=\"m2132f038bd\" d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2132f038bd\" x=\"29.47\" y=\"308.26625\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(14.835 312.825312) scale(0.12 -0.12)\">\n",
       "       <use xlink:href=\"#DejaVuSerif-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2132f038bd\" x=\"29.47\" y=\"271.202852\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 5 -->\n",
       "      <g transform=\"translate(14.835 275.761914) scale(0.12 -0.12)\">\n",
       "       <use xlink:href=\"#DejaVuSerif-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2132f038bd\" x=\"29.47\" y=\"234.139453\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(7.2 238.698516) scale(0.12 -0.12)\">\n",
       "       <use xlink:href=\"#DejaVuSerif-31\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2132f038bd\" x=\"29.47\" y=\"197.076055\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 15 -->\n",
       "      <g transform=\"translate(7.2 201.635117) scale(0.12 -0.12)\">\n",
       "       <use xlink:href=\"#DejaVuSerif-31\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-35\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2132f038bd\" x=\"29.47\" y=\"160.012656\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(7.2 164.571719) scale(0.12 -0.12)\">\n",
       "       <use xlink:href=\"#DejaVuSerif-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2132f038bd\" x=\"29.47\" y=\"122.949258\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 25 -->\n",
       "      <g transform=\"translate(7.2 127.50832) scale(0.12 -0.12)\">\n",
       "       <use xlink:href=\"#DejaVuSerif-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-35\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2132f038bd\" x=\"29.47\" y=\"85.885859\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 30 -->\n",
       "      <g transform=\"translate(7.2 90.444922) scale(0.12 -0.12)\">\n",
       "       <use xlink:href=\"#DejaVuSerif-33\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2132f038bd\" x=\"29.47\" y=\"48.822461\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 35 -->\n",
       "      <g transform=\"translate(7.2 53.381523) scale(0.12 -0.12)\">\n",
       "       <use xlink:href=\"#DejaVuSerif-33\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-35\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2132f038bd\" x=\"29.47\" y=\"11.759062\" style=\"fill-opacity: 0; stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 40 -->\n",
       "      <g transform=\"translate(7.2 16.318125) scale(0.12 -0.12)\">\n",
       "       <use xlink:href=\"#DejaVuSerif-34\"/>\n",
       "       <use xlink:href=\"#DejaVuSerif-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <defs>\n",
       "     <path id=\"m08206e1dd2\" 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",
       "\" style=\"stroke: #1f77b4\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pa98d9757b4)\">\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"1140.802227\" y=\"-1\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"1052.605348\" y=\"226.319805\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"1031.603678\" y=\"-1\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"1005.934177\" y=\"-1\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"943.951866\" y=\"129.917156\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"899.670997\" y=\"-0.309284\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"899.948889\" y=\"-1\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"899.688983\" y=\"-1\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"865.888092\" y=\"68.282718\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"776.860104\" y=\"-1\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"769.654636\" y=\"-1\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"811.090215\" y=\"31.842809\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"782.010282\" y=\"24.126656\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"41.154462\" y=\"300.558707\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"64.523387\" y=\"285.14362\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"745.111114\" y=\"29.738733\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"87.892312\" y=\"269.728534\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"703.516515\" y=\"28.742355\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"111.261237\" y=\"254.313448\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"134.630162\" y=\"238.898361\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"666.187541\" y=\"27.416028\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"631.613026\" y=\"-1\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"600.350429\" y=\"-1\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"629.556698\" y=\"27.103294\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"157.999087\" y=\"223.483275\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"181.368011\" y=\"208.068189\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"204.736936\" y=\"192.653102\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"593.535046\" y=\"26.576968\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"228.105861\" y=\"177.238016\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"251.474786\" y=\"161.822929\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"558.535258\" y=\"25.956808\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"274.843711\" y=\"146.407842\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"298.212626\" y=\"130.99275\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"321.581456\" y=\"115.577683\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"344.949946\" y=\"100.163219\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"524.368334\" y=\"25.293119\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"368.320316\" y=\"84.753566\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"391.726452\" y=\"69.35758\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"415.361661\" y=\"53.862885\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"490.485524\" y=\"23.672697\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"439.456577\" y=\"36.796951\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"464.192633\" y=\"15.238697\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"453.256342\" y=\"17.796909\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "     <use xlink:href=\"#m08206e1dd2\" x=\"450.872936\" y=\"-1\" style=\"fill-opacity: 0; stroke: #1f77b4\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"QuadContourSet_1\">\n",
       "    <path d=\"M 413.915236 52.528801 \n",
       "L 414.19625 53.430802 \n",
       "L 415.192584 52.528801 \n",
       "L 414.19625 52.236406 \n",
       "L 413.915236 52.528801 \n",
       "\" clip-path=\"url(#pa98d9757b4)\" style=\"fill: none; stroke: #000000; stroke-width: 1.5\"/>\n",
       "    <path d=\"M 434.445 23.436291 \n",
       "L 431.655192 26.584422 \n",
       "L 430.39525 28.179002 \n",
       "L 429.208314 30.290762 \n",
       "L 427.934633 33.997102 \n",
       "L 427.782737 37.703441 \n",
       "L 428.936832 41.409781 \n",
       "L 430.39525 43.46183 \n",
       "L 432.147 45.116121 \n",
       "L 434.445 46.541084 \n",
       "M 345.017061 100.711219 \n",
       "L 345.3505 100.945663 \n",
       "L 345.663071 100.711219 \n",
       "L 345.3505 100.3281 \n",
       "L 345.017061 100.711219 \n",
       "z\n",
       "M 369.485613 85.885859 \n",
       "L 369.649 85.937833 \n",
       "L 369.717005 85.885859 \n",
       "L 369.649 85.702445 \n",
       "L 369.485613 85.885859 \n",
       "z\n",
       "M 389.157584 71.0605 \n",
       "L 389.89775 71.745565 \n",
       "L 393.9475 71.696209 \n",
       "L 394.781808 71.0605 \n",
       "L 394.843513 67.35416 \n",
       "L 393.9475 66.576101 \n",
       "L 389.89775 66.65862 \n",
       "L 389.24049 67.35416 \n",
       "L 389.157584 71.0605 \n",
       "z\n",
       "M 409.933134 56.235141 \n",
       "L 410.1465 56.518918 \n",
       "L 414.19625 59.326104 \n",
       "L 418.246 59.063966 \n",
       "L 422.222098 56.235141 \n",
       "L 422.29575 55.986601 \n",
       "L 423.478723 52.528801 \n",
       "L 422.29575 49.478628 \n",
       "L 421.871469 48.822461 \n",
       "L 418.246 46.939409 \n",
       "L 414.19625 47.270966 \n",
       "L 411.930033 48.822461 \n",
       "L 410.1465 50.834075 \n",
       "L 409.384012 52.528801 \n",
       "L 409.933134 56.235141 \n",
       "z\n",
       "\" clip-path=\"url(#pa98d9757b4)\" style=\"fill: none; stroke: #000000; stroke-width: 1.5\"/>\n",
       "    <path d=\"M 424.394182 11.759062 \n",
       "L 422.29575 14.412397 \n",
       "L 421.551804 15.465402 \n",
       "L 419.050391 19.171742 \n",
       "L 418.246 20.452717 \n",
       "L 416.890637 22.878082 \n",
       "L 414.999803 26.584422 \n",
       "L 414.19625 28.385313 \n",
       "L 413.138742 30.290762 \n",
       "L 410.1465 33.46638 \n",
       "L 409.704723 33.997102 \n",
       "L 406.276587 37.703441 \n",
       "L 406.09675 37.887982 \n",
       "L 403.437778 41.409781 \n",
       "L 402.047 43.46365 \n",
       "L 401.14891 45.116121 \n",
       "L 399.65231 48.822461 \n",
       "L 398.867152 52.528801 \n",
       "L 397.99725 55.414929 \n",
       "L 396.663912 56.235141 \n",
       "L 393.9475 56.782471 \n",
       "L 389.89775 58.341672 \n",
       "L 387.60509 59.94148 \n",
       "L 385.848 61.211602 \n",
       "L 383.944967 63.64782 \n",
       "L 382.375111 67.35416 \n",
       "L 382.473673 71.0605 \n",
       "L 384.489292 74.76684 \n",
       "L 385.848 76.005943 \n",
       "L 389.89775 77.920602 \n",
       "L 393.9475 78.172347 \n",
       "L 397.99725 77.046961 \n",
       "L 402.046832 74.76684 \n",
       "L 402.047 74.76666 \n",
       "L 405.653159 71.0605 \n",
       "L 406.09675 70.157527 \n",
       "L 410.1465 68.237529 \n",
       "L 414.19625 68.845935 \n",
       "L 418.246 68.89468 \n",
       "L 422.29575 68.379024 \n",
       "L 426.3455 67.425351 \n",
       "L 426.586112 67.35416 \n",
       "L 430.39525 65.880537 \n",
       "L 434.445 64.231804 \n",
       "M 320.016299 115.536578 \n",
       "L 321.052 116.64964 \n",
       "L 322.705096 115.536578 \n",
       "L 321.052 114.319478 \n",
       "L 320.016299 115.536578 \n",
       "M 342.346477 100.711219 \n",
       "L 345.3505 102.823375 \n",
       "L 348.166515 100.711219 \n",
       "L 345.3505 97.259621 \n",
       "L 342.346477 100.711219 \n",
       "z\n",
       "M 363.216012 85.885859 \n",
       "L 365.59925 88.803986 \n",
       "L 369.037299 89.592199 \n",
       "L 369.649 89.691579 \n",
       "L 369.949452 89.592199 \n",
       "L 373.69875 87.090281 \n",
       "L 374.744369 85.885859 \n",
       "L 374.761438 82.17952 \n",
       "L 373.69875 80.829104 \n",
       "L 369.649 78.865909 \n",
       "L 365.59925 80.020946 \n",
       "L 363.713711 82.17952 \n",
       "L 363.216012 85.885859 \n",
       "z\n",
       "\" clip-path=\"url(#pa98d9757b4)\" style=\"fill: none; stroke: #000000; stroke-width: 1.5\"/>\n",
       "    <path d=\"M 401.499128 11.759062 \n",
       "L 399.098877 15.465402 \n",
       "L 397.99725 17.044117 \n",
       "L 396.631607 19.171742 \n",
       "L 394.095673 22.878082 \n",
       "L 393.9475 23.093241 \n",
       "L 391.761902 26.584422 \n",
       "L 389.89775 29.408861 \n",
       "L 389.368447 30.290762 \n",
       "L 387.159811 33.997102 \n",
       "L 385.848 36.185589 \n",
       "L 384.951918 37.703441 \n",
       "L 382.310151 41.409781 \n",
       "L 381.79825 42.040964 \n",
       "L 379.563157 45.116121 \n",
       "L 377.7485 47.416759 \n",
       "L 376.778249 48.822461 \n",
       "L 374.184697 52.528801 \n",
       "L 373.69875 53.261042 \n",
       "L 371.990886 56.235141 \n",
       "L 370.053107 59.94148 \n",
       "L 369.649 60.899471 \n",
       "L 368.014889 63.64782 \n",
       "L 365.59925 65.694154 \n",
       "L 363.868517 67.35416 \n",
       "L 361.5495 69.321408 \n",
       "L 359.967434 71.0605 \n",
       "L 357.49975 73.867827 \n",
       "L 356.894504 74.76684 \n",
       "L 354.903779 78.47318 \n",
       "L 353.741558 82.17952 \n",
       "L 353.533478 85.885859 \n",
       "L 353.45 87.220984 \n",
       "L 349.40025 89.049939 \n",
       "L 346.451281 89.592199 \n",
       "L 345.3505 89.738059 \n",
       "L 341.30075 91.578511 \n",
       "L 339.428433 93.298539 \n",
       "L 337.251 96.214098 \n",
       "L 336.866895 97.004879 \n",
       "L 336.43346 100.711219 \n",
       "L 337.251 103.040856 \n",
       "L 337.912401 104.417559 \n",
       "L 341.30075 107.173037 \n",
       "L 345.01072 108.123898 \n",
       "L 345.3505 108.194169 \n",
       "L 345.947451 108.123898 \n",
       "L 349.40025 107.576262 \n",
       "L 353.45 105.337097 \n",
       "L 354.737969 104.417559 \n",
       "L 357.439258 100.711219 \n",
       "L 357.49975 100.465475 \n",
       "L 360.857166 97.004879 \n",
       "L 361.5495 96.844655 \n",
       "L 361.984289 97.004879 \n",
       "L 365.59925 98.053663 \n",
       "L 369.649 98.408259 \n",
       "L 373.69875 98.063212 \n",
       "L 377.7485 97.154797 \n",
       "L 378.238756 97.004879 \n",
       "L 381.79825 95.546902 \n",
       "L 385.848 93.734309 \n",
       "L 386.908482 93.298539 \n",
       "L 389.89775 91.695268 \n",
       "L 393.9475 91.08164 \n",
       "L 397.99725 90.716417 \n",
       "L 402.047 90.117067 \n",
       "L 404.795358 89.592199 \n",
       "L 406.09675 89.289383 \n",
       "L 410.1465 88.212619 \n",
       "L 414.19625 87.112385 \n",
       "L 418.246 86.074042 \n",
       "L 419.055186 85.885859 \n",
       "L 422.29575 85.05224 \n",
       "L 426.3455 84.401407 \n",
       "L 430.39525 83.693184 \n",
       "L 434.445 82.945824 \n",
       "M 295.678652 130.361937 \n",
       "L 296.7535 132.274315 \n",
       "L 300.80325 130.961 \n",
       "L 301.147774 130.361937 \n",
       "L 300.80325 129.907783 \n",
       "L 296.7535 129.001117 \n",
       "L 295.678652 130.361937 \n",
       "M 316.74474 115.536578 \n",
       "L 317.00225 116.161654 \n",
       "L 319.497426 119.242918 \n",
       "L 321.052 119.997491 \n",
       "L 324.819825 119.242918 \n",
       "L 325.10175 119.110707 \n",
       "L 327.548634 115.536578 \n",
       "L 326.062257 111.830238 \n",
       "L 325.10175 111.110054 \n",
       "L 321.052 110.47617 \n",
       "L 318.909907 111.830238 \n",
       "L 317.00225 114.737766 \n",
       "L 316.74474 115.536578 \n",
       "\" clip-path=\"url(#pa98d9757b4)\" style=\"fill: none; stroke: #000000; stroke-width: 1.5\"/>\n",
       "    <path d=\"M 376.471468 11.759062 \n",
       "L 374.12888 15.465402 \n",
       "L 373.69875 16.135498 \n",
       "L 371.899194 19.171742 \n",
       "L 369.649 22.656175 \n",
       "L 369.515587 22.878082 \n",
       "L 367.255591 26.584422 \n",
       "L 365.59925 29.106751 \n",
       "L 364.883596 30.290762 \n",
       "L 362.55897 33.997102 \n",
       "L 361.5495 35.541814 \n",
       "L 360.252429 37.703441 \n",
       "L 357.908853 41.409781 \n",
       "L 357.49975 42.052887 \n",
       "L 355.682688 45.116121 \n",
       "L 353.45 48.445174 \n",
       "L 353.211117 48.822461 \n",
       "L 350.783734 52.528801 \n",
       "L 349.40025 54.49275 \n",
       "L 348.285615 56.235141 \n",
       "L 345.797006 59.94148 \n",
       "L 345.3505 60.604251 \n",
       "L 343.503419 63.64782 \n",
       "L 341.30075 67.180416 \n",
       "L 341.201959 67.35416 \n",
       "L 339.000629 71.0605 \n",
       "L 337.251 73.327686 \n",
       "L 336.17683 74.76684 \n",
       "L 333.20125 78.366732 \n",
       "L 333.123914 78.47318 \n",
       "L 330.39133 82.17952 \n",
       "L 329.1515 83.862522 \n",
       "L 327.883421 85.885859 \n",
       "L 325.759195 89.592199 \n",
       "L 325.10175 90.994524 \n",
       "L 324.061682 93.298539 \n",
       "L 321.233305 97.004879 \n",
       "L 321.052 97.130246 \n",
       "L 317.00225 100.2418 \n",
       "L 316.520644 100.711219 \n",
       "L 312.9525 104.043876 \n",
       "L 312.655141 104.417559 \n",
       "L 310.1147 108.123898 \n",
       "L 308.90275 110.853271 \n",
       "L 308.548536 111.830238 \n",
       "L 308.074 115.536578 \n",
       "L 308.408537 119.242918 \n",
       "L 308.90275 120.381852 \n",
       "L 309.908218 122.949258 \n",
       "L 308.90275 125.038705 \n",
       "L 307.159441 122.949258 \n",
       "L 304.853 121.86308 \n",
       "L 300.80325 121.39623 \n",
       "L 296.7535 122.313996 \n",
       "L 295.772621 122.949258 \n",
       "L 292.70375 125.150863 \n",
       "L 291.610525 126.655598 \n",
       "L 290.429854 130.361937 \n",
       "L 291.305713 134.068277 \n",
       "L 292.70375 135.779281 \n",
       "L 296.023961 137.774617 \n",
       "L 296.7535 138.070648 \n",
       "L 300.80325 138.129855 \n",
       "L 301.957913 137.774617 \n",
       "L 304.853 136.328962 \n",
       "L 307.597764 134.068277 \n",
       "L 308.90275 131.355475 \n",
       "L 309.512342 130.361937 \n",
       "L 309.917664 126.655598 \n",
       "L 312.9525 125.050052 \n",
       "L 315.729124 126.655598 \n",
       "L 317.00225 127.199196 \n",
       "L 321.052 128.016216 \n",
       "L 325.10175 127.967503 \n",
       "L 329.1515 127.197348 \n",
       "L 330.896677 126.655598 \n",
       "L 333.20125 125.672118 \n",
       "L 337.251 123.641879 \n",
       "L 338.711153 122.949258 \n",
       "L 341.30075 121.272061 \n",
       "L 345.3505 120.388044 \n",
       "L 349.40025 120.1847 \n",
       "L 353.45 119.683077 \n",
       "L 355.878009 119.242918 \n",
       "L 357.49975 118.884738 \n",
       "L 361.5495 117.796916 \n",
       "L 365.59925 116.644581 \n",
       "L 369.649 115.540753 \n",
       "L 369.665514 115.536578 \n",
       "L 373.69875 114.381927 \n",
       "L 377.7485 113.710164 \n",
       "L 381.79825 113.049429 \n",
       "L 385.848 112.331746 \n",
       "L 388.544865 111.830238 \n",
       "L 389.89775 111.52997 \n",
       "L 393.9475 110.612659 \n",
       "L 397.99725 109.726233 \n",
       "L 402.047 108.892242 \n",
       "L 406.09675 108.162423 \n",
       "L 406.333546 108.123898 \n",
       "L 410.1465 107.401042 \n",
       "L 414.19625 106.637557 \n",
       "L 418.246 105.886497 \n",
       "L 422.29575 105.155449 \n",
       "L 426.3455 104.450931 \n",
       "L 426.539621 104.417559 \n",
       "L 430.39525 103.635798 \n",
       "L 434.445 102.857459 \n",
       "M 251.505185 163.718996 \n",
       "L 252.20625 164.010197 \n",
       "L 252.720382 163.718996 \n",
       "L 253.066903 160.012656 \n",
       "L 252.20625 159.440606 \n",
       "L 251.090699 160.012656 \n",
       "L 251.505185 163.718996 \n",
       "z\n",
       "M 271.558759 148.893637 \n",
       "L 272.455 149.685261 \n",
       "L 276.50475 150.252587 \n",
       "L 278.796977 148.893637 \n",
       "L 280.058723 145.187297 \n",
       "L 276.50475 141.862242 \n",
       "L 272.455 142.762391 \n",
       "L 270.657517 145.187297 \n",
       "L 271.558759 148.893637 \n",
       "\" clip-path=\"url(#pa98d9757b4)\" style=\"fill: none; stroke: #000000; stroke-width: 1.5\"/>\n",
       "    <path d=\"M 350.27569 11.759062 \n",
       "L 349.40025 13.167244 \n",
       "L 348.080537 15.465402 \n",
       "L 345.819311 19.171742 \n",
       "L 345.3505 19.923346 \n",
       "L 343.647978 22.878082 \n",
       "L 341.343536 26.584422 \n",
       "L 341.30075 26.652647 \n",
       "L 339.185831 30.290762 \n",
       "L 337.251 33.358517 \n",
       "L 336.878986 33.997102 \n",
       "L 334.669721 37.703441 \n",
       "L 333.20125 40.017876 \n",
       "L 332.386274 41.409781 \n",
       "L 330.127912 45.116121 \n",
       "L 329.1515 46.655273 \n",
       "L 327.882653 48.822461 \n",
       "L 325.586321 52.528801 \n",
       "L 325.10175 53.281966 \n",
       "L 323.324093 56.235141 \n",
       "L 321.052 59.708426 \n",
       "L 320.911508 59.94148 \n",
       "L 318.641713 63.64782 \n",
       "L 317.00225 66.146692 \n",
       "L 316.274939 67.35416 \n",
       "L 313.973666 71.0605 \n",
       "L 312.9525 72.655044 \n",
       "L 311.709312 74.76684 \n",
       "L 309.386142 78.47318 \n",
       "L 308.90275 79.186187 \n",
       "L 306.959234 82.17952 \n",
       "L 304.853 85.141311 \n",
       "L 304.370792 85.885859 \n",
       "L 301.887684 89.592199 \n",
       "L 300.80325 91.151499 \n",
       "L 299.462802 93.298539 \n",
       "L 297.106378 97.004879 \n",
       "L 296.7535 97.585963 \n",
       "L 295.031742 100.711219 \n",
       "L 292.70375 104.21091 \n",
       "L 292.554076 104.417559 \n",
       "L 289.507889 108.123898 \n",
       "L 288.654 109.056851 \n",
       "L 286.478028 111.830238 \n",
       "L 284.60425 114.134745 \n",
       "L 283.646025 115.536578 \n",
       "L 281.274767 119.242918 \n",
       "L 280.5545 120.581328 \n",
       "L 279.447956 122.949258 \n",
       "L 277.964434 126.655598 \n",
       "L 276.50475 128.504607 \n",
       "L 273.849907 130.361937 \n",
       "L 272.455 131.141392 \n",
       "L 268.682963 134.068277 \n",
       "L 268.40525 134.27387 \n",
       "L 265.343438 137.774617 \n",
       "L 264.3555 139.29033 \n",
       "L 263.290877 141.480957 \n",
       "L 262.430171 145.187297 \n",
       "L 262.709409 148.893637 \n",
       "L 264.353618 152.599977 \n",
       "L 264.3555 152.601403 \n",
       "L 268.40525 156.170155 \n",
       "L 268.700956 156.306316 \n",
       "L 272.455 157.625729 \n",
       "L 276.50475 157.984832 \n",
       "L 280.5545 157.450083 \n",
       "L 284.286045 156.306316 \n",
       "L 284.60425 156.168376 \n",
       "L 288.654 153.927269 \n",
       "L 291.043382 152.599977 \n",
       "L 292.70375 151.265126 \n",
       "L 296.7535 149.886995 \n",
       "L 300.80325 149.813629 \n",
       "L 304.853 149.441659 \n",
       "L 308.141072 148.893637 \n",
       "L 308.90275 148.739395 \n",
       "L 312.9525 147.648551 \n",
       "L 317.00225 146.429066 \n",
       "L 321.052 145.230033 \n",
       "L 321.207623 145.187297 \n",
       "L 325.10175 143.934851 \n",
       "L 329.1515 143.234427 \n",
       "L 333.20125 142.625891 \n",
       "L 337.251 141.934071 \n",
       "L 339.70021 141.480957 \n",
       "L 341.30075 141.127935 \n",
       "L 345.3505 140.200479 \n",
       "L 349.40025 139.293776 \n",
       "L 353.45 138.437867 \n",
       "L 356.934564 137.774617 \n",
       "L 357.49975 137.651969 \n",
       "L 361.5495 136.912216 \n",
       "L 365.59925 136.169307 \n",
       "L 369.649 135.430798 \n",
       "L 373.69875 134.706162 \n",
       "L 377.367032 134.068277 \n",
       "L 377.7485 133.990127 \n",
       "L 381.79825 133.171834 \n",
       "L 385.848 132.394617 \n",
       "L 389.89775 131.68021 \n",
       "L 393.9475 131.009189 \n",
       "L 397.977217 130.361937 \n",
       "L 397.99725 130.358168 \n",
       "L 402.047 129.597479 \n",
       "L 406.09675 128.86464 \n",
       "L 410.1465 128.160546 \n",
       "L 414.19625 127.485396 \n",
       "L 418.246 126.838658 \n",
       "L 419.426292 126.655598 \n",
       "L 422.29575 126.136151 \n",
       "L 426.3455 125.426367 \n",
       "L 430.39525 124.743018 \n",
       "L 434.445 124.085172 \n",
       "M 202.662878 193.369715 \n",
       "L 203.60925 194.317603 \n",
       "L 206.332518 193.369715 \n",
       "L 203.60925 191.491035 \n",
       "L 202.662878 193.369715 \n",
       "z\n",
       "M 224.388819 178.544355 \n",
       "L 227.90775 181.016025 \n",
       "L 231.9575 179.181524 \n",
       "L 232.588293 178.544355 \n",
       "L 232.32328 174.838016 \n",
       "L 231.9575 174.455422 \n",
       "L 227.90775 172.941857 \n",
       "L 225.085886 174.838016 \n",
       "L 224.388819 178.544355 \n",
       "z\n",
       "M 247.78829 167.425336 \n",
       "L 248.1565 167.665379 \n",
       "L 252.20625 168.560449 \n",
       "L 256.256 167.633061 \n",
       "L 256.67151 167.425336 \n",
       "L 260.30575 163.955857 \n",
       "L 260.531299 163.718996 \n",
       "L 261.690738 160.012656 \n",
       "L 260.577624 156.306316 \n",
       "L 260.30575 156.009993 \n",
       "L 256.256 153.544347 \n",
       "L 252.20625 153.372322 \n",
       "L 248.1565 154.918129 \n",
       "L 246.672754 156.306316 \n",
       "L 244.405861 160.012656 \n",
       "L 244.62643 163.718996 \n",
       "L 247.78829 167.425336 \n",
       "\" clip-path=\"url(#pa98d9757b4)\" style=\"fill: none; stroke: #000000; stroke-width: 1.5\"/>\n",
       "    <path d=\"M 322.833051 11.759062 \n",
       "L 321.052 14.743349 \n",
       "L 320.653038 15.465402 \n",
       "L 318.56065 19.171742 \n",
       "L 317.00225 21.768282 \n",
       "L 316.385634 22.878082 \n",
       "L 314.263187 26.584422 \n",
       "L 312.9525 28.756359 \n",
       "L 312.095324 30.290762 \n",
       "L 309.939597 33.997102 \n",
       "L 308.90275 35.70295 \n",
       "L 307.776639 37.703441 \n",
       "L 305.579653 41.409781 \n",
       "L 304.853 42.596441 \n",
       "L 303.425225 45.116121 \n",
       "L 301.187389 48.822461 \n",
       "L 300.80325 49.446262 \n",
       "L 299.047009 52.528801 \n",
       "L 296.768884 56.235141 \n",
       "L 296.7535 56.26003 \n",
       "L 294.642479 59.94148 \n",
       "L 292.70375 63.05447 \n",
       "L 292.361411 63.64782 \n",
       "L 290.174549 67.35416 \n",
       "L 288.654 69.772092 \n",
       "L 287.905133 71.0605 \n",
       "L 285.669396 74.76684 \n",
       "L 284.60425 76.457276 \n",
       "L 283.430802 78.47318 \n",
       "L 281.16153 82.17952 \n",
       "L 280.5545 83.148772 \n",
       "L 278.946003 85.885859 \n",
       "L 276.544021 89.592199 \n",
       "L 276.50475 89.651753 \n",
       "L 274.288891 93.298539 \n",
       "L 272.455 96.093911 \n",
       "L 271.905654 97.004879 \n",
       "L 269.611951 100.711219 \n",
       "L 268.40525 102.585439 \n",
       "L 267.322229 104.417559 \n",
       "L 265.063298 108.123898 \n",
       "L 264.3555 109.245458 \n",
       "L 262.754467 111.830238 \n",
       "L 260.30575 115.264614 \n",
       "L 260.128286 115.536578 \n",
       "L 257.628454 119.242918 \n",
       "L 256.256 121.158152 \n",
       "L 255.105069 122.949258 \n",
       "L 252.670811 126.655598 \n",
       "L 252.20625 127.385825 \n",
       "L 250.506879 130.361937 \n",
       "L 248.445025 134.068277 \n",
       "L 248.1565 134.511155 \n",
       "L 245.639175 137.774617 \n",
       "L 244.10675 139.385324 \n",
       "L 242.370255 141.480957 \n",
       "L 240.057 144.076283 \n",
       "L 239.228375 145.187297 \n",
       "L 236.547751 148.893637 \n",
       "L 236.00725 149.746111 \n",
       "L 234.491597 152.599977 \n",
       "L 232.967365 156.306316 \n",
       "L 231.9575 159.52453 \n",
       "L 231.626132 160.012656 \n",
       "L 227.90775 161.954337 \n",
       "L 225.222436 163.718996 \n",
       "L 223.858 164.490661 \n",
       "L 220.594849 167.425336 \n",
       "L 219.80825 168.235864 \n",
       "L 217.927818 171.131676 \n",
       "L 216.578074 174.838016 \n",
       "L 216.495005 178.544355 \n",
       "L 217.826671 182.250695 \n",
       "L 219.80825 184.66054 \n",
       "L 221.497343 185.957035 \n",
       "L 223.858 187.196694 \n",
       "L 227.90775 188.09809 \n",
       "L 231.9575 187.921515 \n",
       "L 236.00725 186.829246 \n",
       "L 238.112348 185.957035 \n",
       "L 240.057 184.755506 \n",
       "L 243.854636 182.250695 \n",
       "L 244.10675 181.987585 \n",
       "L 248.1565 179.606769 \n",
       "L 252.20625 179.636494 \n",
       "L 256.256 179.437458 \n",
       "L 260.30575 178.853599 \n",
       "L 261.754415 178.544355 \n",
       "L 264.3555 177.856679 \n",
       "L 268.40525 176.573248 \n",
       "L 272.455 175.255692 \n",
       "L 273.833968 174.838016 \n",
       "L 276.50475 173.836767 \n",
       "L 280.5545 173.02387 \n",
       "L 284.60425 172.476437 \n",
       "L 288.654 171.814705 \n",
       "L 292.388068 171.131676 \n",
       "L 292.70375 171.063011 \n",
       "L 296.7535 170.119077 \n",
       "L 300.80325 169.179131 \n",
       "L 304.853 168.28478 \n",
       "L 308.90275 167.459088 \n",
       "L 309.115419 167.425336 \n",
       "L 312.9525 166.737982 \n",
       "L 317.00225 166.010715 \n",
       "L 321.052 165.278194 \n",
       "L 325.10175 164.551884 \n",
       "L 329.1515 163.843019 \n",
       "L 329.869668 163.718996 \n",
       "L 333.20125 163.044555 \n",
       "L 337.251 162.260488 \n",
       "L 341.30075 161.536362 \n",
       "L 345.3505 160.869791 \n",
       "L 349.40025 160.222804 \n",
       "L 350.728735 160.012656 \n",
       "L 353.45 159.510846 \n",
       "L 357.49975 158.781904 \n",
       "L 361.5495 158.079859 \n",
       "L 365.59925 157.405582 \n",
       "L 369.649 156.759039 \n",
       "L 372.609225 156.306316 \n",
       "L 373.69875 156.112899 \n",
       "L 377.7485 155.410189 \n",
       "L 381.79825 154.732358 \n",
       "L 385.848 154.0786 \n",
       "L 389.89775 153.448237 \n",
       "L 393.9475 152.840567 \n",
       "L 395.5847 152.599977 \n",
       "L 397.99725 152.188253 \n",
       "L 402.047 151.51591 \n",
       "L 406.09675 150.87016 \n",
       "L 410.1465 150.247824 \n",
       "L 414.19625 149.646915 \n",
       "L 418.246 149.066429 \n",
       "L 419.471685 148.893637 \n",
       "L 422.29575 148.432167 \n",
       "L 426.3455 147.788431 \n",
       "L 430.39525 147.166925 \n",
       "L 434.445 146.566645 \n",
       "M 134.481165 237.845793 \n",
       "L 134.7635 238.283557 \n",
       "L 135.074394 237.845793 \n",
       "L 134.7635 237.630194 \n",
       "L 134.481165 237.845793 \n",
       "M 156.596175 223.020434 \n",
       "L 159.062 224.729215 \n",
       "L 160.468069 223.020434 \n",
       "L 159.062 221.604574 \n",
       "L 156.596175 223.020434 \n",
       "z\n",
       "M 177.457484 208.195074 \n",
       "L 179.31075 210.865445 \n",
       "L 183.3605 211.21605 \n",
       "L 186.009432 208.195074 \n",
       "L 183.75622 204.488734 \n",
       "L 183.3605 204.253101 \n",
       "L 181.136707 204.488734 \n",
       "L 179.31075 204.756309 \n",
       "L 177.457484 208.195074 \n",
       "z\n",
       "M 197.981682 193.369715 \n",
       "L 199.5595 196.504438 \n",
       "L 200.096557 197.076055 \n",
       "L 203.60925 198.858569 \n",
       "L 207.659 198.666978 \n",
       "L 210.858337 197.076055 \n",
       "L 211.70875 196.091439 \n",
       "L 213.681224 193.369715 \n",
       "L 213.909981 189.663375 \n",
       "L 211.70875 186.440343 \n",
       "L 211.00539 185.957035 \n",
       "L 207.659 184.771935 \n",
       "L 203.60925 185.210573 \n",
       "L 202.380871 185.957035 \n",
       "L 199.5595 188.069936 \n",
       "L 198.526881 189.663375 \n",
       "L 197.981682 193.369715 \n",
       "z\n",
       "\" clip-path=\"url(#pa98d9757b4)\" style=\"fill: none; stroke: #000000; stroke-width: 1.5\"/>\n",
       "    <path d=\"M 293.564282 11.759062 \n",
       "L 292.70375 13.263019 \n",
       "L 291.532631 15.465402 \n",
       "L 289.467215 19.171742 \n",
       "L 288.654 20.585307 \n",
       "L 287.42838 22.878082 \n",
       "L 285.347318 26.584422 \n",
       "L 284.60425 27.868936 \n",
       "L 283.302635 30.290762 \n",
       "L 281.203903 33.997102 \n",
       "L 280.5545 35.113385 \n",
       "L 279.154654 37.703441 \n",
       "L 277.035286 41.409781 \n",
       "L 276.50475 42.315822 \n",
       "L 274.981692 45.116121 \n",
       "L 272.83875 48.822461 \n",
       "L 272.455 49.473687 \n",
       "L 270.783095 52.528801 \n",
       "L 268.614699 56.235141 \n",
       "L 268.40525 56.588402 \n",
       "L 266.559201 59.94148 \n",
       "L 264.363367 63.64782 \n",
       "L 264.3555 63.661001 \n",
       "L 262.306799 67.35416 \n",
       "L 260.30575 70.700516 \n",
       "L 260.105841 71.0605 \n",
       "L 258.017425 74.76684 \n",
       "L 256.256 77.691234 \n",
       "L 255.818777 78.47318 \n",
       "L 253.698017 82.17952 \n",
       "L 252.20625 84.64246 \n",
       "L 251.507167 85.885859 \n",
       "L 249.355141 89.592199 \n",
       "L 248.1565 91.552676 \n",
       "L 247.161675 93.298539 \n",
       "L 244.946348 97.004879 \n",
       "L 244.10675 98.356938 \n",
       "L 242.751448 100.711219 \n",
       "L 240.487916 104.417559 \n",
       "L 240.057 105.108167 \n",
       "L 238.314565 108.123898 \n",
       "L 236.020024 111.830238 \n",
       "L 236.00725 111.850824 \n",
       "L 233.88021 115.536578 \n",
       "L 231.9575 118.572538 \n",
       "L 231.558553 119.242918 \n",
       "L 229.281638 122.949258 \n",
       "L 227.90775 125.050429 \n",
       "L 226.94016 126.655598 \n",
       "L 224.604775 130.361937 \n",
       "L 223.858 131.516048 \n",
       "L 222.341334 134.068277 \n",
       "L 220.038189 137.774617 \n",
       "L 219.80825 138.149089 \n",
       "L 217.85786 141.480957 \n",
       "L 215.7585 144.54844 \n",
       "L 215.34029 145.187297 \n",
       "L 212.782111 148.893637 \n",
       "L 211.70875 150.351853 \n",
       "L 210.221806 152.599977 \n",
       "L 207.660761 156.306316 \n",
       "L 207.659 156.308937 \n",
       "L 205.446284 160.012656 \n",
       "L 203.60925 163.163913 \n",
       "L 203.312281 163.718996 \n",
       "L 201.065529 167.425336 \n",
       "L 199.5595 169.108406 \n",
       "L 197.809211 171.131676 \n",
       "L 195.50975 173.511409 \n",
       "L 194.432053 174.838016 \n",
       "L 191.46 178.444534 \n",
       "L 191.391863 178.544355 \n",
       "L 189.116564 182.250695 \n",
       "L 187.41025 185.752397 \n",
       "L 187.322908 185.957035 \n",
       "L 186.023371 189.663375 \n",
       "L 183.3605 192.515796 \n",
       "L 181.872821 193.369715 \n",
       "L 179.31075 194.535314 \n",
       "L 175.692618 197.076055 \n",
       "L 175.261 197.374706 \n",
       "L 172.309419 200.782395 \n",
       "L 171.21125 202.742907 \n",
       "L 170.47621 204.488734 \n",
       "L 170.005366 208.195074 \n",
       "L 170.847125 211.901414 \n",
       "L 171.21125 212.519423 \n",
       "L 173.709089 215.607754 \n",
       "L 175.261 216.751039 \n",
       "L 179.31075 218.348426 \n",
       "L 183.3605 218.656518 \n",
       "L 187.41025 217.889704 \n",
       "L 191.46 216.193867 \n",
       "L 192.595356 215.607754 \n",
       "L 195.50975 213.311483 \n",
       "L 197.477502 211.901414 \n",
       "L 199.5595 209.913177 \n",
       "L 203.60925 209.763127 \n",
       "L 207.659 209.787486 \n",
       "L 211.70875 209.344066 \n",
       "L 215.7585 208.522751 \n",
       "L 217.014265 208.195074 \n",
       "L 219.80825 207.279825 \n",
       "L 223.858 205.83138 \n",
       "L 227.799548 204.488734 \n",
       "L 227.90775 204.442436 \n",
       "L 231.9575 203.236803 \n",
       "L 236.00725 202.762374 \n",
       "L 240.057 202.13997 \n",
       "L 244.10675 201.405114 \n",
       "L 247.251435 200.782395 \n",
       "L 248.1565 200.569525 \n",
       "L 252.20625 199.585091 \n",
       "L 256.256 198.632685 \n",
       "L 260.30575 197.748177 \n",
       "L 264.347408 197.076055 \n",
       "L 264.3555 197.07456 \n",
       "L 268.40525 196.358736 \n",
       "L 272.455 195.626216 \n",
       "L 276.50475 194.889798 \n",
       "L 280.5545 194.163441 \n",
       "L 284.60425 193.458991 \n",
       "L 285.128367 193.369715 \n",
       "L 288.654 192.671652 \n",
       "L 292.70375 191.919629 \n",
       "L 296.7535 191.241297 \n",
       "L 300.80325 190.588555 \n",
       "L 304.853 189.951683 \n",
       "L 306.713489 189.663375 \n",
       "L 308.90275 189.271084 \n",
       "L 312.9525 188.561226 \n",
       "L 317.00225 187.877646 \n",
       "L 321.052 187.221006 \n",
       "L 325.10175 186.594192 \n",
       "L 329.1515 185.99795 \n",
       "L 329.432329 185.957035 \n",
       "L 333.20125 185.324284 \n",
       "L 337.251 184.665882 \n",
       "L 341.30075 184.029648 \n",
       "L 345.3505 183.415069 \n",
       "L 349.40025 182.821523 \n",
       "L 353.432251 182.250695 \n",
       "L 353.45 182.247802 \n",
       "L 357.49975 181.59723 \n",
       "L 361.5495 180.970611 \n",
       "L 365.59925 180.364475 \n",
       "L 369.649 179.777856 \n",
       "L 373.69875 179.209878 \n",
       "L 377.7485 178.659711 \n",
       "L 378.610242 178.544355 \n",
       "L 381.79825 178.054344 \n",
       "L 385.848 177.449184 \n",
       "L 389.89775 176.863626 \n",
       "L 393.9475 176.296434 \n",
       "L 397.99725 175.746384 \n",
       "L 402.047 175.21266 \n",
       "L 404.958726 174.838016 \n",
       "L 406.09675 174.670157 \n",
       "L 410.1465 174.082192 \n",
       "L 414.19625 173.511853 \n",
       "L 418.246 172.958314 \n",
       "L 422.29575 172.420859 \n",
       "L 426.3455 171.898664 \n",
       "L 430.39525 171.390982 \n",
       "L 432.502795 171.131676 \n",
       "L 434.445 170.858286 \n",
       "M 41.178874 300.85357 \n",
       "L 41.61925 301.173971 \n",
       "L 41.966855 300.85357 \n",
       "L 41.61925 300.460547 \n",
       "L 41.178874 300.85357 \n",
       "z\n",
       "M 110.36926 256.377492 \n",
       "L 110.465 256.444266 \n",
       "L 110.690557 256.377492 \n",
       "L 112.067731 252.671152 \n",
       "L 110.465 252.067709 \n",
       "L 109.767657 252.671152 \n",
       "L 110.36926 256.377492 \n",
       "M 130.693478 237.845793 \n",
       "L 130.71375 237.931143 \n",
       "L 132.448278 241.552133 \n",
       "L 134.7635 242.630774 \n",
       "L 137.467956 241.552133 \n",
       "L 138.81325 239.044847 \n",
       "L 139.221909 237.845793 \n",
       "L 138.81325 237.207691 \n",
       "L 134.7635 234.730514 \n",
       "L 130.71375 237.808808 \n",
       "L 130.693478 237.845793 \n",
       "M 152.431743 226.726773 \n",
       "L 155.01225 228.940131 \n",
       "L 159.062 229.786633 \n",
       "L 163.11175 228.340082 \n",
       "L 165.205094 226.726773 \n",
       "L 166.892944 223.020434 \n",
       "L 166.270144 219.314094 \n",
       "L 163.11175 216.522326 \n",
       "L 159.062 215.803925 \n",
       "L 155.01225 217.06058 \n",
       "L 152.689491 219.314094 \n",
       "L 151.208049 223.020434 \n",
       "L 152.431743 226.726773 \n",
       "z\n",
       "\" clip-path=\"url(#pa98d9757b4)\" style=\"fill: none; stroke: #000000; stroke-width: 1.5\"/>\n",
       "    <path d=\"M 261.590037 11.759062 \n",
       "L 260.30575 14.123386 \n",
       "L 259.623092 15.465402 \n",
       "L 257.689356 19.171742 \n",
       "L 256.256 21.798305 \n",
       "L 255.704253 22.878082 \n",
       "L 253.768855 26.584422 \n",
       "L 252.20625 29.43412 \n",
       "L 251.766465 30.290762 \n",
       "L 249.828043 33.997102 \n",
       "L 248.1565 37.030306 \n",
       "L 247.809237 37.703441 \n",
       "L 245.866327 41.409781 \n",
       "L 244.10675 44.58597 \n",
       "L 243.831834 45.116121 \n",
       "L 241.882668 48.822461 \n",
       "L 240.057 52.099843 \n",
       "L 239.833365 52.528801 \n",
       "L 237.876399 56.235141 \n",
       "L 236.00725 59.571592 \n",
       "L 235.813339 59.94148 \n",
       "L 233.846921 63.64782 \n",
       "L 231.9575 67.000773 \n",
       "L 231.771159 67.35416 \n",
       "L 229.792869 71.0605 \n",
       "L 227.90775 74.383423 \n",
       "L 227.704262 74.76684 \n",
       "L 225.711713 78.47318 \n",
       "L 223.858 81.71923 \n",
       "L 223.612143 82.17952 \n",
       "L 221.603818 85.885859 \n",
       "L 219.80825 89.009648 \n",
       "L 219.495093 89.592199 \n",
       "L 217.469421 93.298539 \n",
       "L 215.7585 96.2527 \n",
       "L 215.350817 97.004879 \n",
       "L 213.299675 100.711219 \n",
       "L 211.70875 103.432723 \n",
       "L 211.170625 104.417559 \n",
       "L 209.09442 108.123898 \n",
       "L 207.659 110.561343 \n",
       "L 206.960777 111.830238 \n",
       "L 204.860284 115.536578 \n",
       "L 203.60925 117.64919 \n",
       "L 202.726869 119.242918 \n",
       "L 200.592081 122.949258 \n",
       "L 199.5595 124.662718 \n",
       "L 198.437216 126.655598 \n",
       "L 196.250005 130.361937 \n",
       "L 195.50975 131.576563 \n",
       "L 194.093872 134.068277 \n",
       "L 191.872333 137.774617 \n",
       "L 191.46 138.449898 \n",
       "L 189.735232 141.480957 \n",
       "L 187.498805 145.187297 \n",
       "L 187.41025 145.332617 \n",
       "L 185.346476 148.893637 \n",
       "L 183.3605 152.016416 \n",
       "L 183.014865 152.599977 \n",
       "L 180.758366 156.306316 \n",
       "L 179.31075 158.555135 \n",
       "L 178.4424 160.012656 \n",
       "L 176.165298 163.718996 \n",
       "L 175.261 165.160655 \n",
       "L 173.946797 167.425336 \n",
       "L 171.743003 171.131676 \n",
       "L 171.21125 171.975992 \n",
       "L 169.398439 174.838016 \n",
       "L 167.1615 177.943995 \n",
       "L 166.76446 178.544355 \n",
       "L 164.208663 182.250695 \n",
       "L 163.11175 183.775034 \n",
       "L 161.704375 185.957035 \n",
       "L 159.297163 189.663375 \n",
       "L 159.062 190.046223 \n",
       "L 157.219188 193.369715 \n",
       "L 155.286023 197.076055 \n",
       "L 155.01225 197.464885 \n",
       "L 152.05273 200.782395 \n",
       "L 150.9625 201.83146 \n",
       "L 148.604286 204.488734 \n",
       "L 146.91275 206.290155 \n",
       "L 145.448442 208.195074 \n",
       "L 142.863 211.796034 \n",
       "L 142.799615 211.901414 \n",
       "L 140.952031 215.607754 \n",
       "L 139.664627 219.314094 \n",
       "L 138.81325 221.512111 \n",
       "L 137.145043 223.020434 \n",
       "L 134.7635 223.924552 \n",
       "L 130.71375 226.140924 \n",
       "L 130.002282 226.726773 \n",
       "L 126.664 229.5425 \n",
       "L 125.951834 230.433113 \n",
       "L 123.77555 234.139453 \n",
       "L 122.891191 237.845793 \n",
       "L 123.309569 241.552133 \n",
       "L 125.298486 245.258473 \n",
       "L 126.664 246.627809 \n",
       "L 130.549197 248.964812 \n",
       "L 130.71375 249.039096 \n",
       "L 134.7635 249.827106 \n",
       "L 138.81325 249.574012 \n",
       "L 141.074384 248.964812 \n",
       "L 142.863 248.315256 \n",
       "L 146.91275 246.013121 \n",
       "L 148.128907 245.258473 \n",
       "L 150.9625 242.596129 \n",
       "L 152.595513 241.552133 \n",
       "L 155.01225 240.539999 \n",
       "L 159.062 240.83082 \n",
       "L 163.11175 240.596473 \n",
       "L 167.1615 239.8978 \n",
       "L 171.21125 238.836682 \n",
       "L 174.39884 237.845793 \n",
       "L 175.261 237.508167 \n",
       "L 179.31075 235.917663 \n",
       "L 183.3605 234.486389 \n",
       "L 185.754819 234.139453 \n",
       "L 187.41025 233.908236 \n",
       "L 191.46 233.344061 \n",
       "L 195.50975 232.628771 \n",
       "L 199.5595 231.808154 \n",
       "L 203.60925 230.938083 \n",
       "L 205.955996 230.433113 \n",
       "L 207.659 230.00369 \n",
       "L 211.70875 229.029458 \n",
       "L 215.7585 228.210712 \n",
       "L 219.80825 227.579974 \n",
       "L 223.858 226.94618 \n",
       "L 225.21498 226.726773 \n",
       "L 227.90775 226.228782 \n",
       "L 231.9575 225.473854 \n",
       "L 236.00725 224.732656 \n",
       "L 240.057 224.01704 \n",
       "L 244.10675 223.334161 \n",
       "L 246.110903 223.020434 \n",
       "L 248.1565 222.659809 \n",
       "L 252.20625 221.989442 \n",
       "L 256.256 221.331866 \n",
       "L 260.30575 220.688961 \n",
       "L 264.3555 220.063072 \n",
       "L 268.40525 219.456189 \n",
       "L 269.372163 219.314094 \n",
       "L 272.455 218.798981 \n",
       "L 276.50475 218.145424 \n",
       "L 280.5545 217.524632 \n",
       "L 284.60425 216.92701 \n",
       "L 288.654 216.346328 \n",
       "L 292.70375 215.782209 \n",
       "L 293.977819 215.607754 \n",
       "L 296.7535 215.176872 \n",
       "L 300.80325 214.564455 \n",
       "L 304.853 213.971524 \n",
       "L 308.90275 213.397443 \n",
       "L 312.9525 212.842992 \n",
       "L 317.00225 212.304858 \n",
       "L 320.112823 211.901414 \n",
       "L 321.052 211.76358 \n",
       "L 325.10175 211.17877 \n",
       "L 329.1515 210.610993 \n",
       "L 333.20125 210.059506 \n",
       "L 337.251 209.523574 \n",
       "L 341.30075 209.002476 \n",
       "L 345.3505 208.495892 \n",
       "L 347.804931 208.195074 \n",
       "L 349.40025 207.974309 \n",
       "L 353.45 207.423815 \n",
       "L 357.49975 206.888195 \n",
       "L 361.5495 206.366764 \n",
       "L 365.59925 205.858875 \n",
       "L 369.649 205.363912 \n",
       "L 373.69875 204.881291 \n",
       "L 377.067616 204.488734 \n",
       "L 377.7485 204.399315 \n",
       "L 381.79825 203.874446 \n",
       "L 385.848 203.36281 \n",
       "L 389.89775 202.863819 \n",
       "L 393.9475 202.376922 \n",
       "L 397.99725 201.901596 \n",
       "L 402.047 201.43735 \n",
       "L 406.09675 200.983714 \n",
       "L 407.921871 200.782395 \n",
       "L 410.1465 200.506432 \n",
       "L 414.19625 200.012795 \n",
       "L 418.246 199.530629 \n",
       "L 422.29575 199.059463 \n",
       "L 426.3455 198.598848 \n",
       "L 430.39525 198.148362 \n",
       "L 434.445 197.707603 \n",
       "M 38.616255 300.85357 \n",
       "L 41.61925 303.038432 \n",
       "L 43.98962 300.85357 \n",
       "L 41.61925 298.173485 \n",
       "L 38.616255 300.85357 \n",
       "z\n",
       "M 61.290693 286.028211 \n",
       "L 61.868 286.765067 \n",
       "L 65.91775 287.893746 \n",
       "L 67.962996 286.028211 \n",
       "L 66.291377 282.321871 \n",
       "L 65.91775 282.07921 \n",
       "L 64.758593 282.321871 \n",
       "L 61.868 284.133957 \n",
       "L 61.290693 286.028211 \n",
       "z\n",
       "M 83.507921 271.202852 \n",
       "L 86.1665 273.72556 \n",
       "L 90.21625 273.629509 \n",
       "L 92.960845 271.202852 \n",
       "L 92.844049 267.496512 \n",
       "L 90.21625 265.235985 \n",
       "L 86.1665 265.299926 \n",
       "L 83.817585 267.496512 \n",
       "L 83.507921 271.202852 \n",
       "M 104.368059 256.377492 \n",
       "L 106.41525 259.14686 \n",
       "L 107.961951 260.083832 \n",
       "L 110.465 261.067195 \n",
       "L 114.51475 260.752382 \n",
       "L 116.018521 260.083832 \n",
       "L 118.5645 257.996918 \n",
       "L 120.009288 256.377492 \n",
       "L 120.918091 252.671152 \n",
       "L 119.543332 248.964812 \n",
       "L 118.5645 248.032847 \n",
       "L 114.51475 246.162062 \n",
       "L 110.465 246.348961 \n",
       "L 106.41525 248.568239 \n",
       "L 106.051938 248.964812 \n",
       "L 104.072468 252.671152 \n",
       "L 104.368059 256.377492 \n",
       "\" clip-path=\"url(#pa98d9757b4)\" style=\"fill: none; stroke: #000000; stroke-width: 1.5\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 29.47 308.26625 \n",
       "L 29.47 11.759062 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 434.445 308.26625 \n",
       "L 434.445 11.759062 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 29.47 308.26625 \n",
       "L 434.445 308.26625 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 29.47 11.759062 \n",
       "L 434.445 11.759062 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pa98d9757b4\">\n",
       "   <rect x=\"29.47\" y=\"11.759062\" width=\"404.975\" height=\"296.507187\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 70; D, x = cheb(N); x = x[1:N];\n",
    "L = 6.0; x = L*x; D = D/L;\n",
    "A = -dot(D,D);\n",
    "A = A[1:N,1:N] + (1+3j)*diag(x**2);\n",
    "lam, v = eig(A)\n",
    "fig = figure()\n",
    "plot(real(lam),imag(lam),\"o\")\n",
    "axis([0, 50, 0, 40])\n",
    "\n",
    "h = 0.5 # Smaller the value, finer the plot\n",
    "x = arange(0,50+h,h); y = arange(0,40+h,h); xx,yy = meshgrid(x,y,indexing='ij');\n",
    "zz = xx + 1j*yy;\n",
    "I = eye(N-1); sigmin = zeros((len(x),len(y))) \n",
    "for i in range(0,len(x)):\n",
    "    for j in range(0,len(y)):\n",
    "        sigmin[i,j] = min(svdvals(zz[i,j]*I - A));\n",
    "\n",
    "levels = 10.0**arange(-4.5,0.0,0.5);\n",
    "contour(xx,yy,sigmin,levels,colors = 'k');"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.12.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}