photometry_evaluation.ipynb

       "     <use xlink:href=\"#DejaVuSans-20\" x=\"816.113281\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" x=\"847.900391\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-69\" x=\"911.376953\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-73\" x=\"939.160156\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-74\" x=\"991.259766\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-72\" x=\"1030.46875\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-69\" x=\"1071.582031\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-62\" x=\"1099.365234\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-75\" x=\"1162.841797\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-74\" x=\"1226.220703\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-69\" x=\"1265.429688\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"1293.212891\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6e\" x=\"1354.394531\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p1bbf65c344\">\n",
       "   <rect x=\"48.039625\" y=\"24.14175\" width=\"357.12\" height=\"266.112\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "injected_l1_output_dir = \"/public/home/fangyuedong/project/processed_injected_50sqDeg_L1_outputs/\"\n",
    "chip_label = \"08\"\n",
    "nbins = 50\n",
    "bins = np.linspace(16., 28., nbins+1)\n",
    "\n",
    "cat_path_list_injected_l1 = glob(injected_l1_output_dir + \"*/*%s_cat*\"%(chip_label))\n",
    "mag_Kron_total_injected_l1 = np.array([])\n",
    "for cat_path in cat_path_list_injected_l1:\n",
    "    hdu = fits.open(cat_path)\n",
    "    print(\"number of objects detected in %s: %d\"%(os.path.basename(cat_path), len(hdu[1].data)))\n",
    "    mag_Kron = hdu[1].data[\"Mag_Kron\"]\n",
    "    mag_Kron_total_injected_l1 = np.append(mag_Kron_total, mag_Kron)\n",
    "    plt.figure()\n",
    "    plt.hist(mag_Kron, bins=bins)\n",
    "    plt.xlabel(\"MAG_KRON/mag\", size='x-large')\n",
    "    plt.ylabel(\"Counts\", size='x-large')\n",
    "    plt.title(os.path.basename(cat_path))\n",
    "    plt.show()\n",
    "    \n",
    "plt.figure()\n",
    "plt.hist(mag_Kron_total_injected_l1, bins=bins, density=True)\n",
    "plt.xlabel(\"Mag_Kron/mag\", size='x-large')\n",
    "plt.ylabel(\"Counts\", size='x-large')\n",
    "plt.title(\"Total KRON MAG distribution\", size='x-large')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4177f779",
   "metadata": {},
   "source": [
    "# 4. Matching and complteness checking"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "6aabcdf6",
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_hist_figure(counts, counts_detected, bins, name=\"val\", output_dir='./', fig_name='detected_counts.png', save_figure=False):\n",
    "    plt.figure()\n",
    "    plt.stairs(counts, bins, color='r', label='TU objects')\n",
    "    plt.stairs(counts_detected, bins, color='g', label='Detected')\n",
    "    plt.xlabel(name, size='x-large')\n",
    "    plt.title(\"Counts\")\n",
    "    plt.legend(loc='upper right', fancybox=True)\n",
    "    if save_figure:\n",
    "        fig_name = os.path.join(output_dir, fig_name)\n",
    "        plt.savefig(fig_name)\n",
    "        \n",
    "def create_fraction_figure(counts, counts_detected, bins, name='val', output_dir='./', fig_name=\"completeness_fraction.png\", save_figure=False):\n",
    "    fraction = counts_detected / counts\n",
    "    fraction[np.where(np.isnan(fraction))[0]] = 0.\n",
    "    plt.figure()\n",
    "    plt.stairs(fraction, bins, color='r', label='completeness fraction')\n",
    "    plt.xlabel(name, size='x-large')\n",
    "    plt.title(\"Completeness Fraction\")\n",
    "    if save_figure:\n",
    "        fig_name = os.path.join(output_dir, fig_name)\n",
    "        plt.savefig(fig_name)\n",
    "    return fraction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "0a93a863",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Injected truth catalog:  CSST_MSC_MS_SCIE_20231022045923_20231022050153_10160000000_08_img_L1_injected.cat\n",
      "L1 processed photometry catalog:  CSST_MSC_MS_SCIE_20231022045923_20231022050153_10160000000_08_cat_L1_injected.fits\n",
      "number of matched sources =  472\n",
      "Injected truth catalog:  CSST_MSC_MS_SCIE_20231125034322_20231125034552_10160000003_08_img_L1_injected.cat\n",
      "L1 processed photometry catalog:  CSST_MSC_MS_SCIE_20231125034322_20231125034552_10160000003_08_cat_L1_injected.fits\n",
      "number of matched sources =  510\n",
      "Injected truth catalog:  CSST_MSC_MS_SCIE_20240615073556_20240615073826_10160000005_08_img_L1_injected.cat\n",
      "L1 processed photometry catalog:  CSST_MSC_MS_SCIE_20240615073556_20240615073826_10160000005_08_cat_L1_injected.fits\n",
      "number of matched sources =  537\n",
      "Injected truth catalog:  CSST_MSC_MS_SCIE_20231022050241_20231022050511_10160000001_08_img_L1_injected.cat\n",
      "L1 processed photometry catalog:  CSST_MSC_MS_SCIE_20231022050241_20231022050511_10160000001_08_cat_L1_injected.fits\n",
      "number of matched sources =  463\n",
      "Injected truth catalog:  CSST_MSC_MS_SCIE_20231022050559_20231022050829_10160000002_08_img_L1_injected.cat\n",
      "L1 processed photometry catalog:  CSST_MSC_MS_SCIE_20231022050559_20231022050829_10160000002_08_cat_L1_injected.fits\n",
      "number of matched sources =  458\n",
      "Injected truth catalog:  CSST_MSC_MS_SCIE_20240601050406_20240601050636_10160000004_08_img_L1_injected.cat\n",
      "L1 processed photometry catalog:  CSST_MSC_MS_SCIE_20240601050406_20240601050636_10160000004_08_cat_L1_injected.fits\n",
      "number of matched sources =  458\n"
     ]
    },
    {
     "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=\"397.6075pt\" height=\"330.64525pt\" viewBox=\"0 0 397.6075 330.64525\" 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>2024-04-23T07:21:54.994582</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.8.4, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 330.64525 \n",
       "L 397.6075 330.64525 \n",
       "L 397.6075 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 33.2875 288.430125 \n",
       "L 390.4075 288.430125 \n",
       "L 390.4075 22.318125 \n",
       "L 33.2875 22.318125 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 49.520227 288.430125 \n",
       "L 49.520227 285.688116 \n",
       "L 56.013318 285.688116 \n",
       "L 56.013318 284.121253 \n",
       "L 62.506409 284.121253 \n",
       "L 62.506409 282.554391 \n",
       "L 68.9995 282.554391 \n",
       "L 68.9995 282.554391 \n",
       "L 75.492591 282.554391 \n",
       "L 75.492591 284.121253 \n",
       "L 81.985682 284.121253 \n",
       "L 81.985682 282.554391 \n",
       "L 88.478773 282.554391 \n",
       "L 88.478773 279.420666 \n",
       "L 94.971864 279.420666 \n",
       "L 94.971864 281.77096 \n",
       "L 101.464955 281.77096 \n",
       "L 101.464955 273.153216 \n",
       "L 107.958045 273.153216 \n",
       "L 107.958045 277.462088 \n",
       "L 114.451136 277.462088 \n",
       "L 114.451136 279.420666 \n",
       "L 120.944227 279.420666 \n",
       "L 120.944227 272.761501 \n",
       "L 127.437318 272.761501 \n",
       "L 127.437318 268.060913 \n",
       "L 133.930409 268.060913 \n",
       "L 133.930409 275.895225 \n",
       "L 140.4235 275.895225 \n",
       "L 140.4235 273.936647 \n",
       "L 146.916591 273.936647 \n",
       "L 146.916591 270.019491 \n",
       "L 153.409682 270.019491 \n",
       "L 153.409682 265.71062 \n",
       "L 159.902773 265.71062 \n",
       "L 159.902773 269.627776 \n",
       "L 166.395864 269.627776 \n",
       "L 166.395864 268.844344 \n",
       "L 172.888955 268.844344 \n",
       "L 172.888955 275.50351 \n",
       "L 179.382045 275.50351 \n",
       "L 179.382045 260.618317 \n",
       "L 185.875136 260.618317 \n",
       "L 185.875136 261.010032 \n",
       "L 192.368227 261.010032 \n",
       "L 192.368227 260.226601 \n",
       "L 198.861318 260.226601 \n",
       "L 198.861318 257.092876 \n",
       "L 205.354409 257.092876 \n",
       "L 205.354409 255.526014 \n",
       "L 211.8475 255.526014 \n",
       "L 211.8475 248.866848 \n",
       "L 218.340591 248.866848 \n",
       "L 218.340591 232.806508 \n",
       "L 224.833682 232.806508 \n",
       "L 224.833682 229.672783 \n",
       "L 231.326773 229.672783 \n",
       "L 231.326773 212.437297 \n",
       "L 237.819864 212.437297 \n",
       "L 237.819864 209.303572 \n",
       "L 244.312955 209.303572 \n",
       "L 244.312955 225.363912 \n",
       "L 250.806045 225.363912 \n",
       "L 250.806045 185.800635 \n",
       "L 257.299136 185.800635 \n",
       "L 257.299136 181.100048 \n",
       "L 263.792227 181.100048 \n",
       "L 263.792227 155.638533 \n",
       "L 270.285318 155.638533 \n",
       "L 270.285318 143.495349 \n",
       "L 276.778409 143.495349 \n",
       "L 276.778409 127.826725 \n",
       "L 283.2715 127.826725 \n",
       "L 283.2715 95.706045 \n",
       "L 289.764591 95.706045 \n",
       "L 289.764591 107.849229 \n",
       "L 296.257682 107.849229 \n",
       "L 296.257682 64.760511 \n",
       "L 302.750773 64.760511 \n",
       "L 302.750773 34.990125 \n",
       "L 309.243864 34.990125 \n",
       "L 309.243864 45.174731 \n",
       "L 315.736955 45.174731 \n",
       "L 315.736955 70.24453 \n",
       "L 322.230045 70.24453 \n",
       "L 322.230045 37.732134 \n",
       "L 328.723136 37.732134 \n",
       "L 328.723136 85.521439 \n",
       "L 335.216227 85.521439 \n",
       "L 335.216227 95.706045 \n",
       "L 341.709318 95.706045 \n",
       "L 341.709318 138.011331 \n",
       "L 348.202409 138.011331 \n",
       "L 348.202409 177.182892 \n",
       "L 354.6955 177.182892 \n",
       "L 354.6955 211.653865 \n",
       "L 361.188591 211.653865 \n",
       "L 361.188591 215.962737 \n",
       "L 367.681682 215.962737 \n",
       "L 367.681682 245.733123 \n",
       "L 374.174773 245.733123 \n",
       "L 374.174773 288.430125 \n",
       "\" clip-path=\"url(#p9403a439a0)\" style=\"fill: none; stroke: #ff0000; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 49.520227 288.430125 \n",
       "L 49.520227 285.688116 \n",
       "L 56.013318 285.688116 \n",
       "L 56.013318 284.121253 \n",
       "L 62.506409 284.121253 \n",
       "L 62.506409 282.554391 \n",
       "L 68.9995 282.554391 \n",
       "L 68.9995 282.554391 \n",
       "L 75.492591 282.554391 \n",
       "L 75.492591 284.121253 \n",
       "L 81.985682 284.121253 \n",
       "L 81.985682 282.554391 \n",
       "L 88.478773 282.554391 \n",
       "L 88.478773 279.420666 \n",
       "L 94.971864 279.420666 \n",
       "L 94.971864 281.77096 \n",
       "L 101.464955 281.77096 \n",
       "L 101.464955 273.153216 \n",
       "L 107.958045 273.153216 \n",
       "L 107.958045 277.462088 \n",
       "L 114.451136 277.462088 \n",
       "L 114.451136 279.812382 \n",
       "L 120.944227 279.812382 \n",
       "L 120.944227 272.761501 \n",
       "L 127.437318 272.761501 \n",
       "L 127.437318 268.060913 \n",
       "L 133.930409 268.060913 \n",
       "L 133.930409 275.895225 \n",
       "L 140.4235 275.895225 \n",
       "L 140.4235 273.936647 \n",
       "L 146.916591 273.936647 \n",
       "L 146.916591 270.802923 \n",
       "L 153.409682 270.802923 \n",
       "L 153.409682 266.102335 \n",
       "L 159.902773 266.102335 \n",
       "L 159.902773 270.019491 \n",
       "L 166.395864 270.019491 \n",
       "L 166.395864 268.844344 \n",
       "L 172.888955 268.844344 \n",
       "L 172.888955 275.50351 \n",
       "L 179.382045 275.50351 \n",
       "L 179.382045 261.010032 \n",
       "L 185.875136 261.010032 \n",
       "L 185.875136 261.401748 \n",
       "L 192.368227 261.401748 \n",
       "L 192.368227 261.793463 \n",
       "L 198.861318 261.793463 \n",
       "L 198.861318 259.051454 \n",
       "L 205.354409 259.051454 \n",
       "L 205.354409 259.44317 \n",
       "L 211.8475 259.44317 \n",
       "L 211.8475 253.567436 \n",
       "L 218.340591 253.567436 \n",
       "L 218.340591 239.465674 \n",
       "L 224.833682 239.465674 \n",
       "L 224.833682 237.898811 \n",
       "L 231.326773 237.898811 \n",
       "L 231.326773 227.32249 \n",
       "L 237.819864 227.32249 \n",
       "L 237.819864 226.539059 \n",
       "L 244.312955 226.539059 \n",
       "L 244.312955 242.599399 \n",
       "L 250.806045 242.599399 \n",
       "L 250.806045 213.612443 \n",
       "L 257.299136 213.612443 \n",
       "L 257.299136 231.631361 \n",
       "L 263.792227 231.631361 \n",
       "L 263.792227 223.797049 \n",
       "L 270.285318 223.797049 \n",
       "L 270.285318 232.414793 \n",
       "L 276.778409 232.414793 \n",
       "L 276.778409 237.507096 \n",
       "L 283.2715 237.507096 \n",
       "L 283.2715 237.11538 \n",
       "L 289.764591 237.11538 \n",
       "L 289.764591 257.484592 \n",
       "L 296.257682 257.484592 \n",
       "L 296.257682 258.659739 \n",
       "L 302.750773 258.659739 \n",
       "L 302.750773 267.669198 \n",
       "L 309.243864 267.669198 \n",
       "L 309.243864 280.204097 \n",
       "L 315.736955 280.204097 \n",
       "L 315.736955 285.2964 \n",
       "L 322.230045 285.2964 \n",
       "L 322.230045 285.688116 \n",
       "L 328.723136 285.688116 \n",
       "L 328.723136 288.430125 \n",
       "L 335.216227 288.430125 \n",
       "L 335.216227 287.254978 \n",
       "L 341.709318 287.254978 \n",
       "L 341.709318 288.038409 \n",
       "L 348.202409 288.038409 \n",
       "L 348.202409 288.038409 \n",
       "L 354.6955 288.038409 \n",
       "L 354.6955 288.430125 \n",
       "L 361.188591 288.430125 \n",
       "L 361.188591 288.038409 \n",
       "L 367.681682 288.038409 \n",
       "L 367.681682 288.430125 \n",
       "L 374.174773 288.430125 \n",
       "L 374.174773 288.430125 \n",
       "\" clip-path=\"url(#p9403a439a0)\" style=\"fill: none; stroke: #008000; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path id=\"mc1b308f73a\" 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=\"#mc1b308f73a\" x=\"49.520227\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 16 -->\n",
       "      <g transform=\"translate(43.157727 303.028562) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \n",
       "Q 1688 2584 1439 2293 \n",
       "Q 1191 2003 1191 1497 \n",
       "Q 1191 994 1439 701 \n",
       "Q 1688 409 2113 409 \n",
       "Q 2538 409 2786 701 \n",
       "Q 3034 994 3034 1497 \n",
       "Q 3034 2003 2786 2293 \n",
       "Q 2538 2584 2113 2584 \n",
       "z\n",
       "M 3366 4563 \n",
       "L 3366 3988 \n",
       "Q 3128 4100 2886 4159 \n",
       "Q 2644 4219 2406 4219 \n",
       "Q 1781 4219 1451 3797 \n",
       "Q 1122 3375 1075 2522 \n",
       "Q 1259 2794 1537 2939 \n",
       "Q 1816 3084 2150 3084 \n",
       "Q 2853 3084 3261 2657 \n",
       "Q 3669 2231 3669 1497 \n",
       "Q 3669 778 3244 343 \n",
       "Q 2819 -91 2113 -91 \n",
       "Q 1303 -91 875 529 \n",
       "Q 447 1150 447 2328 \n",
       "Q 447 3434 972 4092 \n",
       "Q 1497 4750 2381 4750 \n",
       "Q 2619 4750 2861 4703 \n",
       "Q 3103 4656 3366 4563 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-36\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mc1b308f73a\" x=\"103.629318\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 18 -->\n",
       "      <g transform=\"translate(97.266818 303.028562) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-38\" d=\"M 2034 2216 \n",
       "Q 1584 2216 1326 1975 \n",
       "Q 1069 1734 1069 1313 \n",
       "Q 1069 891 1326 650 \n",
       "Q 1584 409 2034 409 \n",
       "Q 2484 409 2743 651 \n",
       "Q 3003 894 3003 1313 \n",
       "Q 3003 1734 2745 1975 \n",
       "Q 2488 2216 2034 2216 \n",
       "z\n",
       "M 1403 2484 \n",
       "Q 997 2584 770 2862 \n",
       "Q 544 3141 544 3541 \n",
       "Q 544 4100 942 4425 \n",
       "Q 1341 4750 2034 4750 \n",
       "Q 2731 4750 3128 4425 \n",
       "Q 3525 4100 3525 3541 \n",
       "Q 3525 3141 3298 2862 \n",
       "Q 3072 2584 2669 2484 \n",
       "Q 3125 2378 3379 2068 \n",
       "Q 3634 1759 3634 1313 \n",
       "Q 3634 634 3220 271 \n",
       "Q 2806 -91 2034 -91 \n",
       "Q 1263 -91 848 271 \n",
       "Q 434 634 434 1313 \n",
       "Q 434 1759 690 2068 \n",
       "Q 947 2378 1403 2484 \n",
       "z\n",
       "M 1172 3481 \n",
       "Q 1172 3119 1398 2916 \n",
       "Q 1625 2713 2034 2713 \n",
       "Q 2441 2713 2670 2916 \n",
       "Q 2900 3119 2900 3481 \n",
       "Q 2900 3844 2670 4047 \n",
       "Q 2441 4250 2034 4250 \n",
       "Q 1625 4250 1398 4047 \n",
       "Q 1172 3844 1172 3481 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-38\" 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=\"#mc1b308f73a\" x=\"157.738409\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(151.375909 303.028562) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-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=\"#mc1b308f73a\" x=\"211.8475\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 22 -->\n",
       "      <g transform=\"translate(205.485 303.028562) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-32\" 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=\"#mc1b308f73a\" x=\"265.956591\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 24 -->\n",
       "      <g transform=\"translate(259.594091 303.028562) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \n",
       "L 825 1625 \n",
       "L 2419 1625 \n",
       "L 2419 4116 \n",
       "z\n",
       "M 2253 4666 \n",
       "L 3047 4666 \n",
       "L 3047 1625 \n",
       "L 3713 1625 \n",
       "L 3713 1100 \n",
       "L 3047 1100 \n",
       "L 3047 0 \n",
       "L 2419 0 \n",
       "L 2419 1100 \n",
       "L 313 1100 \n",
       "L 313 1709 \n",
       "L 2253 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-34\" 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=\"#mc1b308f73a\" x=\"320.065682\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 26 -->\n",
       "      <g transform=\"translate(313.703182 303.028562) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-36\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mc1b308f73a\" x=\"374.174773\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 28 -->\n",
       "      <g transform=\"translate(367.812273 303.028562) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-38\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_8\">\n",
       "     <!-- mag_injected -->\n",
       "     <g transform=\"translate(163.47475 320.05) scale(0.144 -0.144)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-6d\" d=\"M 3328 2828 \n",
       "Q 3544 3216 3844 3400 \n",
       "Q 4144 3584 4550 3584 \n",
       "Q 5097 3584 5394 3201 \n",
       "Q 5691 2819 5691 2113 \n",
       "L 5691 0 \n",
       "L 5113 0 \n",
       "L 5113 2094 \n",
       "Q 5113 2597 4934 2840 \n",
       "Q 4756 3084 4391 3084 \n",
       "Q 3944 3084 3684 2787 \n",
       "Q 3425 2491 3425 1978 \n",
       "L 3425 0 \n",
       "L 2847 0 \n",
       "L 2847 2094 \n",
       "Q 2847 2600 2669 2842 \n",
       "Q 2491 3084 2119 3084 \n",
       "Q 1678 3084 1418 2786 \n",
       "Q 1159 2488 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1356 3278 1631 3431 \n",
       "Q 1906 3584 2284 3584 \n",
       "Q 2666 3584 2933 3390 \n",
       "Q 3200 3197 3328 2828 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-61\" d=\"M 2194 1759 \n",
       "Q 1497 1759 1228 1600 \n",
       "Q 959 1441 959 1056 \n",
       "Q 959 750 1161 570 \n",
       "Q 1363 391 1709 391 \n",
       "Q 2188 391 2477 730 \n",
       "Q 2766 1069 2766 1631 \n",
       "L 2766 1759 \n",
       "L 2194 1759 \n",
       "z\n",
       "M 3341 1997 \n",
       "L 3341 0 \n",
       "L 2766 0 \n",
       "L 2766 531 \n",
       "Q 2569 213 2275 61 \n",
       "Q 1981 -91 1556 -91 \n",
       "Q 1019 -91 701 211 \n",
       "Q 384 513 384 1019 \n",
       "Q 384 1609 779 1909 \n",
       "Q 1175 2209 1959 2209 \n",
       "L 2766 2209 \n",
       "L 2766 2266 \n",
       "Q 2766 2663 2505 2880 \n",
       "Q 2244 3097 1772 3097 \n",
       "Q 1472 3097 1187 3025 \n",
       "Q 903 2953 641 2809 \n",
       "L 641 3341 \n",
       "Q 956 3463 1253 3523 \n",
       "Q 1550 3584 1831 3584 \n",
       "Q 2591 3584 2966 3190 \n",
       "Q 3341 2797 3341 1997 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-67\" d=\"M 2906 1791 \n",
       "Q 2906 2416 2648 2759 \n",
       "Q 2391 3103 1925 3103 \n",
       "Q 1463 3103 1205 2759 \n",
       "Q 947 2416 947 1791 \n",
       "Q 947 1169 1205 825 \n",
       "Q 1463 481 1925 481 \n",
       "Q 2391 481 2648 825 \n",
       "Q 2906 1169 2906 1791 \n",
       "z\n",
       "M 3481 434 \n",
       "Q 3481 -459 3084 -895 \n",
       "Q 2688 -1331 1869 -1331 \n",
       "Q 1566 -1331 1297 -1286 \n",
       "Q 1028 -1241 775 -1147 \n",
       "L 775 -588 \n",
       "Q 1028 -725 1275 -790 \n",
       "Q 1522 -856 1778 -856 \n",
       "Q 2344 -856 2625 -561 \n",
       "Q 2906 -266 2906 331 \n",
       "L 2906 616 \n",
       "Q 2728 306 2450 153 \n",
       "Q 2172 0 1784 0 \n",
       "Q 1141 0 747 490 \n",
       "Q 353 981 353 1791 \n",
       "Q 353 2603 747 3093 \n",
       "Q 1141 3584 1784 3584 \n",
       "Q 2172 3584 2450 3431 \n",
       "Q 2728 3278 2906 2969 \n",
       "L 2906 3500 \n",
       "L 3481 3500 \n",
       "L 3481 434 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-5f\" d=\"M 3263 -1063 \n",
       "L 3263 -1509 \n",
       "L -63 -1509 \n",
       "L -63 -1063 \n",
       "L 3263 -1063 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-6e\" d=\"M 3513 2113 \n",
       "L 3513 0 \n",
       "L 2938 0 \n",
       "L 2938 2094 \n",
       "Q 2938 2591 2744 2837 \n",
       "Q 2550 3084 2163 3084 \n",
       "Q 1697 3084 1428 2787 \n",
       "Q 1159 2491 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1366 3272 1645 3428 \n",
       "Q 1925 3584 2291 3584 \n",
       "Q 2894 3584 3203 3211 \n",
       "Q 3513 2838 3513 2113 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-6a\" d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 -63 \n",
       "Q 1178 -731 923 -1031 \n",
       "Q 669 -1331 103 -1331 \n",
       "L -116 -1331 \n",
       "L -116 -844 \n",
       "L 38 -844 \n",
       "Q 366 -844 484 -692 \n",
       "Q 603 -541 603 -63 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
       "L 3597 1613 \n",
       "L 953 1613 \n",
       "Q 991 1019 1311 708 \n",
       "Q 1631 397 2203 397 \n",
       "Q 2534 397 2845 478 \n",
       "Q 3156 559 3463 722 \n",
       "L 3463 178 \n",
       "Q 3153 47 2828 -22 \n",
       "Q 2503 -91 2169 -91 \n",
       "Q 1331 -91 842 396 \n",
       "Q 353 884 353 1716 \n",
       "Q 353 2575 817 3079 \n",
       "Q 1281 3584 2069 3584 \n",
       "Q 2775 3584 3186 3129 \n",
       "Q 3597 2675 3597 1894 \n",
       "z\n",
       "M 3022 2063 \n",
       "Q 3016 2534 2758 2815 \n",
       "Q 2500 3097 2075 3097 \n",
       "Q 1594 3097 1305 2825 \n",
       "Q 1016 2553 972 2059 \n",
       "L 3022 2063 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \n",
       "L 3122 2828 \n",
       "Q 2878 2963 2633 3030 \n",
       "Q 2388 3097 2138 3097 \n",
       "Q 1578 3097 1268 2742 \n",
       "Q 959 2388 959 1747 \n",
       "Q 959 1106 1268 751 \n",
       "Q 1578 397 2138 397 \n",
       "Q 2388 397 2633 464 \n",
       "Q 2878 531 3122 666 \n",
       "L 3122 134 \n",
       "Q 2881 22 2623 -34 \n",
       "Q 2366 -91 2075 -91 \n",
       "Q 1284 -91 818 406 \n",
       "Q 353 903 353 1747 \n",
       "Q 353 2603 823 3093 \n",
       "Q 1294 3584 2113 3584 \n",
       "Q 2378 3584 2631 3529 \n",
       "Q 2884 3475 3122 3366 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
       "L 1172 3500 \n",
       "L 2356 3500 \n",
       "L 2356 3053 \n",
       "L 1172 3053 \n",
       "L 1172 1153 \n",
       "Q 1172 725 1289 603 \n",
       "Q 1406 481 1766 481 \n",
       "L 2356 481 \n",
       "L 2356 0 \n",
       "L 1766 0 \n",
       "Q 1100 0 847 248 \n",
       "Q 594 497 594 1153 \n",
       "L 594 3053 \n",
       "L 172 3053 \n",
       "L 172 3500 \n",
       "L 594 3500 \n",
       "L 594 4494 \n",
       "L 1172 4494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-64\" d=\"M 2906 2969 \n",
       "L 2906 4863 \n",
       "L 3481 4863 \n",
       "L 3481 0 \n",
       "L 2906 0 \n",
       "L 2906 525 \n",
       "Q 2725 213 2448 61 \n",
       "Q 2172 -91 1784 -91 \n",
       "Q 1150 -91 751 415 \n",
       "Q 353 922 353 1747 \n",
       "Q 353 2572 751 3078 \n",
       "Q 1150 3584 1784 3584 \n",
       "Q 2172 3584 2448 3432 \n",
       "Q 2725 3281 2906 2969 \n",
       "z\n",
       "M 947 1747 \n",
       "Q 947 1113 1208 752 \n",
       "Q 1469 391 1925 391 \n",
       "Q 2381 391 2643 752 \n",
       "Q 2906 1113 2906 1747 \n",
       "Q 2906 2381 2643 2742 \n",
       "Q 2381 3103 1925 3103 \n",
       "Q 1469 3103 1208 2742 \n",
       "Q 947 2381 947 1747 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-6d\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-61\" x=\"97.412109\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-67\" x=\"158.691406\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5f\" x=\"222.167969\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-69\" x=\"272.167969\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-6e\" x=\"299.951172\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-6a\" x=\"363.330078\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-65\" x=\"391.113281\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-63\" x=\"452.636719\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-74\" x=\"507.617188\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-65\" x=\"546.826172\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-64\" x=\"608.349609\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <defs>\n",
       "       <path id=\"m4ac9ed64d9\" 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=\"#m4ac9ed64d9\" x=\"33.2875\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(19.925 292.229344) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m4ac9ed64d9\" x=\"33.2875\" y=\"249.258564\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 100 -->\n",
       "      <g transform=\"translate(7.2 253.057783) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"127.246094\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m4ac9ed64d9\" x=\"33.2875\" y=\"210.087003\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 200 -->\n",
       "      <g transform=\"translate(7.2 213.886222) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"127.246094\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m4ac9ed64d9\" x=\"33.2875\" y=\"170.915442\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 300 -->\n",
       "      <g transform=\"translate(7.2 174.714661) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
       "Q 3050 2419 3304 2112 \n",
       "Q 3559 1806 3559 1356 \n",
       "Q 3559 666 3084 287 \n",
       "Q 2609 -91 1734 -91 \n",
       "Q 1441 -91 1130 -33 \n",
       "Q 819 25 488 141 \n",
       "L 488 750 \n",
       "Q 750 597 1062 519 \n",
       "Q 1375 441 1716 441 \n",
       "Q 2309 441 2620 675 \n",
       "Q 2931 909 2931 1356 \n",
       "Q 2931 1769 2642 2001 \n",
       "Q 2353 2234 1838 2234 \n",
       "L 1294 2234 \n",
       "L 1294 2753 \n",
       "L 1863 2753 \n",
       "Q 2328 2753 2575 2939 \n",
       "Q 2822 3125 2822 3475 \n",
       "Q 2822 3834 2567 4026 \n",
       "Q 2313 4219 1838 4219 \n",
       "Q 1578 4219 1281 4162 \n",
       "Q 984 4106 628 3988 \n",
       "L 628 4550 \n",
       "Q 988 4650 1302 4700 \n",
       "Q 1616 4750 1894 4750 \n",
       "Q 2613 4750 3031 4423 \n",
       "Q 3450 4097 3450 3541 \n",
       "Q 3450 3153 3228 2886 \n",
       "Q 3006 2619 2597 2516 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",