python/NanoVNA-example.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Sample notebook to interact with NanoVNA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "cd python"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from nanovna import NanoVNA\n",
    "#reload script\n",
    "# %run nanovna.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# create instance and connect to the device\n",
    "nv = NanoVNA()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "nv.set_sweep(1e6, 300e6)\n",
    "nv.fetch_frequencies()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "s11 = nv.data(0)\n",
    "s12 = nv.data(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"261.19625pt\" version=\"1.1\" viewBox=\"0 0 385.25625 261.19625\" width=\"385.25625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 261.19625 \nL 385.25625 261.19625 \nL 385.25625 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 35.304688 224.64 \nL 370.104688 224.64 \nL 370.104688 7.2 \nL 35.304688 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#pba98ae02ec)\" d=\"M 90.171577 224.64 \nL 90.171577 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_2\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m3d3de739b6\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"90.171577\" xlink:href=\"#m3d3de739b6\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0.5 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(82.220015 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#pba98ae02ec)\" d=\"M 146.158199 224.64 \nL 146.158199 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"146.158199\" xlink:href=\"#m3d3de739b6\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1.0 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(138.206637 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#pba98ae02ec)\" d=\"M 202.144821 224.64 \nL 202.144821 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"202.144821\" xlink:href=\"#m3d3de739b6\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1.5 -->\n      <g transform=\"translate(194.193259 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#pba98ae02ec)\" d=\"M 258.131443 224.64 \nL 258.131443 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"258.131443\" xlink:href=\"#m3d3de739b6\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 2.0 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(250.179881 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#pba98ae02ec)\" d=\"M 314.118065 224.64 \nL 314.118065 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"314.118065\" xlink:href=\"#m3d3de739b6\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 2.5 -->\n      <g transform=\"translate(306.166503 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#pba98ae02ec)\" d=\"M 370.104688 224.64 \nL 370.104688 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"370.104688\" xlink:href=\"#m3d3de739b6\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 3.0 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(362.153125 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_7\">\n     <!-- 1e8 -->\n     <defs>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n     </defs>\n     <g transform=\"translate(351.226562 251.916562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-49\"/>\n      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"125.146484\" xlink:href=\"#DejaVuSans-56\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#pba98ae02ec)\" d=\"M 35.304688 209.436995 \nL 370.104688 209.436995 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m19209813ea\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m19209813ea\" y=\"209.436995\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- −80 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n      </defs>\n      <g transform=\"translate(7.2 213.236214)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-56\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#pba98ae02ec)\" d=\"M 35.304688 161.263035 \nL 370.104688 161.263035 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m19209813ea\" y=\"161.263035\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- −60 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g transform=\"translate(7.2 165.062254)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#pba98ae02ec)\" d=\"M 35.304688 113.089075 \nL 370.104688 113.089075 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m19209813ea\" y=\"113.089075\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- −40 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(7.2 116.888294)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#pba98ae02ec)\" d=\"M 35.304688 64.915116 \nL 370.104688 64.915116 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m19209813ea\" y=\"64.915116\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- −20 -->\n      <g transform=\"translate(7.2 68.714334)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_21\">\n      <path clip-path=\"url(#pba98ae02ec)\" d=\"M 35.304688 16.741156 \nL 370.104688 16.741156 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"35.304688\" xlink:href=\"#m19209813ea\" y=\"16.741156\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0 -->\n      <g transform=\"translate(21.942188 20.540375)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_23\">\n    <path clip-path=\"url(#pba98ae02ec)\" d=\"M 35.304688 98.146446 \nL 38.652688 73.675521 \nL 42.000688 61.962656 \nL 45.348688 55.355303 \nL 48.696688 50.749683 \nL 52.044688 47.663078 \nL 55.392688 45.606741 \nL 58.740688 44.371115 \nL 62.088688 43.861776 \nL 65.436688 44.004138 \nL 68.784688 44.815232 \nL 72.132688 46.316579 \nL 75.480688 48.670363 \nL 78.828688 52.061133 \nL 82.176688 56.912943 \nL 85.524688 64.087596 \nL 88.872688 75.986687 \nL 92.220688 106.025731 \nL 95.568688 89.541512 \nL 98.916688 72.331152 \nL 102.264688 64.125958 \nL 105.612688 59.365905 \nL 108.960688 56.592783 \nL 112.308688 55.10332 \nL 115.656688 54.587568 \nL 119.004688 54.675936 \nL 122.352688 55.120412 \nL 125.700688 55.85551 \nL 129.048687 57.112966 \nL 132.396688 59.908542 \nL 135.744687 66.356177 \nL 139.092688 77.836521 \nL 142.440688 60.545376 \nL 145.788688 43.626693 \nL 149.136688 33.201739 \nL 152.484688 26.918269 \nL 155.832688 23.294133 \nL 159.180688 21.281283 \nL 162.528688 20.134221 \nL 165.876688 19.462023 \nL 169.224688 19.053074 \nL 172.572688 18.780564 \nL 175.920688 18.594634 \nL 179.268687 18.468765 \nL 182.616688 18.380887 \nL 185.964687 18.307319 \nL 189.312688 18.257136 \nL 192.660687 18.229633 \nL 196.008688 18.209806 \nL 199.356687 18.191871 \nL 202.704688 18.181576 \nL 206.052688 18.164045 \nL 209.400688 18.162349 \nL 212.748688 18.168936 \nL 216.096688 18.165818 \nL 219.444688 18.159564 \nL 222.792687 18.142854 \nL 226.140688 18.151469 \nL 229.488687 18.151105 \nL 232.836688 18.143219 \nL 236.184687 18.136364 \nL 239.532688 18.125996 \nL 242.880687 18.138251 \nL 246.228688 18.15594 \nL 249.576688 18.144764 \nL 252.924688 18.15407 \nL 256.272688 18.141069 \nL 259.620688 18.146298 \nL 262.968688 18.139205 \nL 266.316688 18.145426 \nL 269.664688 18.146395 \nL 273.012688 18.14787 \nL 276.360688 18.153075 \nL 279.708687 18.135765 \nL 283.056688 18.12853 \nL 286.404688 18.114249 \nL 289.752688 18.113369 \nL 293.100687 18.117152 \nL 296.448688 18.121549 \nL 299.796688 18.110214 \nL 303.144688 18.106698 \nL 306.492687 18.098614 \nL 309.840688 18.090355 \nL 313.188688 18.073315 \nL 316.536688 18.071048 \nL 319.884687 18.058297 \nL 323.232687 18.047396 \nL 326.580688 18.044019 \nL 329.928688 18.038318 \nL 333.276688 18.022792 \nL 336.624687 18.02195 \nL 339.972688 18.015118 \nL 343.320688 18.013086 \nL 346.668688 18.005578 \nL 350.016687 17.998622 \nL 353.364688 17.999166 \nL 356.712688 17.978184 \nL 360.060688 17.976367 \nL 363.408687 17.974435 \nL 366.756687 17.968697 \nL 370.104688 17.939816 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_24\">\n    <path clip-path=\"url(#pba98ae02ec)\" d=\"M 35.304688 17.083636 \nL 38.652688 17.249486 \nL 42.000688 17.484745 \nL 45.348688 17.658754 \nL 48.696688 17.943671 \nL 52.044688 18.210387 \nL 55.392688 18.458628 \nL 58.740688 18.694036 \nL 62.088688 18.860747 \nL 65.436688 18.971397 \nL 68.784688 19.05214 \nL 72.132688 19.065554 \nL 75.480688 19.031035 \nL 78.828688 18.996372 \nL 82.176688 18.936005 \nL 85.524688 18.884447 \nL 88.872688 18.884675 \nL 92.220688 18.907941 \nL 95.568688 18.976789 \nL 98.916688 19.112205 \nL 102.264688 19.262148 \nL 105.612688 19.426594 \nL 108.960688 19.623147 \nL 112.308688 19.79371 \nL 115.656688 19.950583 \nL 119.004688 20.126775 \nL 122.352688 20.295095 \nL 125.700688 20.492799 \nL 129.048687 20.769399 \nL 132.396688 21.055354 \nL 135.744687 21.426251 \nL 139.092688 21.981257 \nL 142.440688 22.950351 \nL 145.788688 24.803555 \nL 149.136688 28.081516 \nL 152.484688 32.876637 \nL 155.832688 38.75468 \nL 159.180688 45.177108 \nL 162.528688 51.664917 \nL 165.876688 58.00648 \nL 169.224688 64.147001 \nL 172.572688 69.928213 \nL 175.920688 75.463382 \nL 179.268687 80.8076 \nL 182.616688 85.857448 \nL 185.964687 90.728066 \nL 189.312688 95.377736 \nL 192.660687 99.817743 \nL 196.008688 104.188469 \nL 199.356687 108.275421 \nL 202.704688 113.122705 \nL 206.052688 116.369216 \nL 209.400688 119.950212 \nL 212.748688 123.154647 \nL 216.096688 126.894023 \nL 219.444688 130.136397 \nL 222.792687 134.457698 \nL 226.140688 137.482353 \nL 229.488687 140.487538 \nL 232.836688 143.674271 \nL 236.184687 146.874887 \nL 239.532688 149.978374 \nL 242.880687 153.010803 \nL 246.228688 153.965857 \nL 249.576688 156.774821 \nL 252.924688 160.91937 \nL 256.272688 163.759762 \nL 259.620688 166.205148 \nL 262.968688 167.024342 \nL 266.316688 169.176609 \nL 269.664688 171.245903 \nL 273.012688 174.100515 \nL 276.360688 177.671512 \nL 279.708687 175.812875 \nL 283.056688 174.972979 \nL 286.404688 175.425161 \nL 289.752688 177.312688 \nL 293.100687 182.922979 \nL 296.448688 171.274138 \nL 299.796688 181.664111 \nL 303.144688 177.907598 \nL 306.492687 187.37548 \nL 309.840688 182.122948 \nL 313.188688 179.983624 \nL 316.536688 180.902767 \nL 319.884687 184.826933 \nL 323.232687 191.578545 \nL 326.580688 188.751107 \nL 329.928688 183.264183 \nL 333.276688 178.124896 \nL 336.624687 194.04896 \nL 339.972688 193.727551 \nL 343.320688 214.756364 \nL 346.668688 193.078843 \nL 350.016687 184.962393 \nL 353.364688 202.617651 \nL 356.712688 184.877913 \nL 360.060688 184.20552 \nL 363.408687 199.511037 \nL 366.756687 202.995837 \nL 370.104688 103.179509 \n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 35.304688 224.64 \nL 35.304688 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 370.104688 224.64 \nL 370.104688 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 35.304688 224.64 \nL 370.104688 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 35.304688 7.2 \nL 370.104688 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pba98ae02ec\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"35.304688\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "text/plain": "<Figure size 432x288 with 1 Axes>"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nv.logmag(s11)\n",
    "nv.logmag(s12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"261.19625pt\" version=\"1.1\" viewBox=\"0 0 391.61875 261.19625\" width=\"391.61875pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 261.19625 \nL 391.61875 261.19625 \nL 391.61875 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 41.667188 224.64 \nL 376.467188 224.64 \nL 376.467188 7.2 \nL 41.667188 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 96.534077 224.64 \nL 96.534077 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_2\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"me80699e832\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"96.534077\" xlink:href=\"#me80699e832\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0.5 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(88.582515 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 152.520699 224.64 \nL 152.520699 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"152.520699\" xlink:href=\"#me80699e832\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1.0 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(144.569137 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 208.507321 224.64 \nL 208.507321 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"208.507321\" xlink:href=\"#me80699e832\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1.5 -->\n      <g transform=\"translate(200.555759 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 264.493943 224.64 \nL 264.493943 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"264.493943\" xlink:href=\"#me80699e832\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 2.0 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(256.542381 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 320.480565 224.64 \nL 320.480565 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"320.480565\" xlink:href=\"#me80699e832\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 2.5 -->\n      <g transform=\"translate(312.529003 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 376.467188 224.64 \nL 376.467188 7.2 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"376.467188\" xlink:href=\"#me80699e832\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 3.0 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(368.515625 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_7\">\n     <!-- 1e8 -->\n     <defs>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n     </defs>\n     <g transform=\"translate(357.589063 251.916562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-49\"/>\n      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"125.146484\" xlink:href=\"#DejaVuSans-56\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 41.667188 206.52 \nL 376.467188 206.52 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m66725150dc\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"41.667188\" xlink:href=\"#m66725150dc\" y=\"206.52\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- −150 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n      </defs>\n      <g transform=\"translate(7.2 210.319219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"211.035156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 41.667188 176.32 \nL 376.467188 176.32 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"41.667188\" xlink:href=\"#m66725150dc\" y=\"176.32\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- −100 -->\n      <g transform=\"translate(7.2 180.119219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"211.035156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 41.667188 146.12 \nL 376.467188 146.12 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"41.667188\" xlink:href=\"#m66725150dc\" y=\"146.12\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- −50 -->\n      <g transform=\"translate(13.5625 149.919219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 41.667188 115.92 \nL 376.467188 115.92 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"41.667188\" xlink:href=\"#m66725150dc\" y=\"115.92\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0 -->\n      <g transform=\"translate(28.304688 119.719219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_21\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 41.667188 85.72 \nL 376.467188 85.72 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"41.667188\" xlink:href=\"#m66725150dc\" y=\"85.72\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 50 -->\n      <g transform=\"translate(21.942188 89.519219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_23\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 41.667188 55.52 \nL 376.467188 55.52 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_24\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"41.667188\" xlink:href=\"#m66725150dc\" y=\"55.52\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 100 -->\n      <g transform=\"translate(15.579688 59.319219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_25\">\n      <path clip-path=\"url(#p2ef14b598b)\" d=\"M 41.667188 25.32 \nL 376.467188 25.32 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_26\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"41.667188\" xlink:href=\"#m66725150dc\" y=\"25.32\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 150 -->\n      <g transform=\"translate(15.579688 29.119219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_27\">\n    <path clip-path=\"url(#p2ef14b598b)\" d=\"M 41.667188 118.479391 \nL 45.015188 124.766107 \nL 48.363188 130.972703 \nL 51.711188 136.930617 \nL 55.059188 142.983152 \nL 58.407188 148.928294 \nL 61.755188 154.776206 \nL 65.103188 160.56401 \nL 68.451188 166.311715 \nL 71.799188 172.071963 \nL 75.147188 177.865116 \nL 78.495188 183.731948 \nL 81.843187 189.702796 \nL 85.191188 195.803585 \nL 88.539188 202.04983 \nL 91.887188 208.445147 \nL 95.235188 214.992833 \nL 98.583188 221.677608 \nL 101.931188 11.034654 \nL 105.279188 17.919838 \nL 108.627188 24.898616 \nL 111.975188 31.969276 \nL 115.323188 39.165768 \nL 118.671188 46.52381 \nL 122.019188 54.07724 \nL 125.367188 61.856885 \nL 128.715188 69.91529 \nL 132.063187 78.306802 \nL 135.411188 87.134268 \nL 138.759187 96.490792 \nL 142.107188 106.499047 \nL 145.455188 117.445275 \nL 148.803188 129.580897 \nL 152.151188 142.891501 \nL 155.499188 156.779108 \nL 158.847188 169.967574 \nL 162.195188 181.469191 \nL 165.543188 191.002517 \nL 168.891188 198.793802 \nL 172.239188 205.230816 \nL 175.587188 210.589817 \nL 178.935188 215.122604 \nL 182.283188 219.069413 \nL 185.631188 222.591421 \nL 188.979188 8.278296 \nL 192.327188 11.009301 \nL 195.675188 13.481775 \nL 199.023188 15.806046 \nL 202.371188 17.695077 \nL 205.719188 19.502191 \nL 209.067188 21.783003 \nL 212.415188 22.696625 \nL 215.763188 24.518997 \nL 219.111188 25.407675 \nL 222.459188 26.140685 \nL 225.807188 28.128679 \nL 229.155188 28.251157 \nL 232.503188 27.916519 \nL 235.851188 28.490131 \nL 239.199188 29.945006 \nL 242.547188 29.509415 \nL 245.895188 28.686986 \nL 249.243188 33.262275 \nL 252.591188 29.936628 \nL 255.939188 27.765267 \nL 259.287188 26.585444 \nL 262.635188 25.447042 \nL 265.983187 23.454937 \nL 269.331187 27.130828 \nL 272.679188 25.969545 \nL 276.027188 21.63869 \nL 279.375187 13.800638 \nL 282.723187 16.47451 \nL 286.071188 13.026815 \nL 289.419188 11.932568 \nL 292.767187 215.231796 \nL 296.115187 207.349266 \nL 299.463188 210.871262 \nL 302.811188 202.368348 \nL 306.159188 218.194557 \nL 309.507188 206.307219 \nL 312.855187 219.725616 \nL 316.203188 212.768005 \nL 319.551188 206.566521 \nL 322.899188 213.136399 \nL 326.247187 209.266637 \nL 329.595188 21.512323 \nL 332.943188 222.314245 \nL 336.291188 11.567679 \nL 339.639188 222.996223 \nL 342.987188 10.06746 \nL 346.335188 216.886286 \nL 349.683188 118.019562 \nL 353.031188 168.094382 \nL 356.379188 177.87907 \nL 359.727188 164.240809 \nL 363.075188 183.316284 \nL 366.423188 190.987982 \nL 369.771187 202.196978 \nL 373.119188 211.246074 \nL 376.467188 123.764941 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 41.667188 224.64 \nL 41.667188 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 376.467188 224.64 \nL 376.467188 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 41.667188 224.64 \nL 376.467188 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 41.667188 7.2 \nL 376.467188 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p2ef14b598b\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"41.667188\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "text/plain": "<Figure size 432x288 with 1 Axes>"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nv.phase(s12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "outputs": [],
   "source": [
    "## Various plots by scikit-rf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"235.34pt\" version=\"1.1\" viewBox=\"0 0 235.34 235.34\" width=\"235.34pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 235.34 \nL 235.34 235.34 \nL 235.34 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 10.7 224.64 \nL 228.14 224.64 \nL 228.14 7.2 \nL 10.7 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path clip-path=\"url(#p8d77cbedeb)\" d=\"M 119.42 214.756364 \nC 145.63171 214.756364 170.773385 204.342341 189.307863 185.807863 \nC 207.842341 167.273385 218.256364 142.13171 218.256364 115.92 \nC 218.256364 89.70829 207.842341 64.566615 189.307863 46.032137 \nC 170.773385 27.497659 145.63171 17.083636 119.42 17.083636 \nC 93.20829 17.083636 68.066615 27.497659 49.532137 46.032137 \nC 30.997659 64.566615 20.583636 89.70829 20.583636 115.92 \nC 20.583636 142.13171 30.997659 167.273385 49.532137 185.807863 \nC 68.066615 204.342341 93.20829 214.756364 119.42 214.756364 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 130.401818 203.774545 \nC 153.701116 203.774545 176.049272 194.517636 192.524363 178.042545 \nC 208.999455 161.567453 218.256364 139.219298 218.256364 115.92 \nC 218.256364 92.620702 208.999455 70.272547 192.524363 53.797455 \nC 176.049272 37.322364 153.701116 28.065455 130.401818 28.065455 \nC 107.10252 28.065455 84.754365 37.322364 68.279273 53.797455 \nC 51.804182 70.272547 42.547273 92.620702 42.547273 115.92 \nC 42.547273 139.219298 51.804182 161.567453 68.279273 178.042545 \nC 84.754365 194.517636 107.10252 203.774545 130.401818 203.774545 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 139.187273 194.989091 \nC 160.156641 194.989091 180.269981 186.657873 195.097563 171.83029 \nC 209.925145 157.002708 218.256364 136.889368 218.256364 115.92 \nC 218.256364 94.950632 209.925145 74.837292 195.097563 60.00971 \nC 180.269981 45.182127 160.156641 36.850909 139.187273 36.850909 \nC 118.217905 36.850909 98.104565 45.182127 83.276982 60.00971 \nC 68.4494 74.837292 60.118182 94.950632 60.118182 115.92 \nC 60.118182 136.889368 68.4494 157.002708 83.276982 171.83029 \nC 98.104565 186.657873 118.217905 194.989091 139.187273 194.989091 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 152.365455 181.810909 \nC 169.839928 181.810909 186.601045 174.868227 198.957363 162.511909 \nC 211.313682 150.15559 218.256364 133.394473 218.256364 115.92 \nC 218.256364 98.445527 211.313682 81.68441 198.957363 69.328091 \nC 186.601045 56.971773 169.839928 50.029091 152.365455 50.029091 \nC 134.890981 50.029091 118.129865 56.971773 105.773546 69.328091 \nC 93.417227 81.68441 86.474545 98.445527 86.474545 115.92 \nC 86.474545 133.394473 93.417227 150.15559 105.773546 162.511909 \nC 118.129865 174.868227 134.890981 181.810909 152.365455 181.810909 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_7\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 168.838182 165.338182 \nC 181.944037 165.338182 194.514874 160.13117 203.782113 150.863931 \nC 213.049352 141.596693 218.256364 129.025855 218.256364 115.92 \nC 218.256364 102.814145 213.049352 90.243307 203.782113 80.976069 \nC 194.514874 71.70883 181.944037 66.501818 168.838182 66.501818 \nC 155.732327 66.501818 143.161489 71.70883 133.89425 80.976069 \nC 124.627011 90.243307 119.42 102.814145 119.42 115.92 \nC 119.42 129.025855 124.627011 141.596693 133.89425 150.863931 \nC 143.161489 160.13117 155.732327 165.338182 168.838182 165.338182 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 185.310909 148.865455 \nC 194.048146 148.865455 202.428704 145.394114 208.606863 139.215954 \nC 214.785023 133.037795 218.256364 124.657237 218.256364 115.92 \nC 218.256364 107.182763 214.785023 98.802205 208.606863 92.624046 \nC 202.428704 86.445886 194.048146 82.974545 185.310909 82.974545 \nC 176.573672 82.974545 168.193114 86.445886 162.014955 92.624046 \nC 155.836795 98.802205 152.365455 107.182763 152.365455 115.92 \nC 152.365455 124.657237 155.836795 133.037795 162.014955 139.215954 \nC 168.193114 145.394114 176.573672 148.865455 185.310909 148.865455 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 198.489091 135.687273 \nC 203.731433 135.687273 208.759768 133.604468 212.466664 129.897573 \nC 216.173559 126.190677 218.256364 121.162342 218.256364 115.92 \nC 218.256364 110.677658 216.173559 105.649323 212.466664 101.942427 \nC 208.759768 98.235532 203.731433 96.152727 198.489091 96.152727 \nC 193.246749 96.152727 188.218414 98.235532 184.511518 101.942427 \nC 180.804623 105.649323 178.721818 110.677658 178.721818 115.92 \nC 178.721818 121.162342 180.804623 126.190677 184.511518 129.897573 \nC 188.218414 133.604468 193.246749 135.687273 198.489091 135.687273 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 207.274545 126.901818 \nC 210.186958 126.901818 212.980477 125.744705 215.039864 123.685318 \nC 217.09925 121.625932 218.256364 118.832412 218.256364 115.92 \nC 218.256364 113.007588 217.09925 110.214068 215.039864 108.154682 \nC 212.980477 106.095295 210.186958 104.938182 207.274545 104.938182 \nC 204.362133 104.938182 201.568614 106.095295 199.509227 108.154682 \nC 197.449841 110.214068 196.292727 113.007588 196.292727 115.92 \nC 196.292727 118.832412 197.449841 121.625932 199.509227 123.685318 \nC 201.568614 125.744705 204.362133 126.901818 207.274545 126.901818 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 212.44246 121.733904 \nC 213.984325 121.733904 215.463247 121.121314 216.553511 120.031051 \nC 217.643774 118.940787 218.256364 117.461865 218.256364 115.92 \nC 218.256364 114.378135 217.643774 112.899213 216.553511 111.808949 \nC 215.463247 110.718686 213.984325 110.106096 212.44246 110.106096 \nC 210.900595 110.106096 209.421673 110.718686 208.331409 111.808949 \nC 207.241146 112.899213 206.628556 114.378135 206.628556 115.92 \nC 206.628556 117.461865 207.241146 118.940787 208.331409 120.031051 \nC 209.421673 121.121314 210.900595 121.733904 212.44246 121.733904 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 215.261322 118.915041 \nC 216.055617 118.915041 216.817485 118.599465 217.379136 118.037814 \nC 217.940787 117.476163 218.256364 116.714294 218.256364 115.92 \nC 218.256364 115.125706 217.940787 114.363837 217.379136 113.802186 \nC 216.817485 113.240535 216.055617 112.924959 215.261322 112.924959 \nC 214.467028 112.924959 213.705159 113.240535 213.143508 113.802186 \nC 212.581857 114.363837 212.266281 115.125706 212.266281 115.92 \nC 212.266281 116.714294 212.581857 117.476163 213.143508 118.037814 \nC 213.705159 118.599465 214.467028 118.915041 215.261322 118.915041 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 323.103204 115.92 423.669904 74.263909 497.807815 0.125997 \nC 571.945727 -74.011914 613.601818 -174.578614 613.601818 -279.425455 \nC 613.601818 -384.272295 571.945727 -484.838995 497.807815 -558.976906 \nC 423.669904 -633.114818 323.103204 -674.770909 218.256364 -674.770909 \nC 113.409524 -674.770909 12.842823 -633.114818 -61.295088 -558.976906 \nC -135.433 -484.838995 -177.089091 -384.272295 -177.089091 -279.425455 \nC -177.089091 -174.578614 -135.433 -74.011914 -61.295088 0.125997 \nC 12.842823 74.263909 113.409524 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 270.679784 115.92 320.963134 95.091954 358.03209 58.022999 \nC 395.101045 20.954043 415.929091 -29.329307 415.929091 -81.752727 \nC 415.929091 -134.176147 395.101045 -184.459497 358.03209 -221.528453 \nC 320.963134 -258.597409 270.679784 -279.425455 218.256364 -279.425455 \nC 165.832944 -279.425455 115.549594 -258.597409 78.480638 -221.528453 \nC 41.411682 -184.459497 20.583636 -134.176147 20.583636 -81.752727 \nC 20.583636 -29.329307 41.411682 20.954043 78.480638 58.022999 \nC 115.549594 95.091954 165.832944 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_15\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 244.468074 115.92 269.609749 105.505977 288.144227 86.971499 \nC 306.678704 68.437021 317.092727 43.295346 317.092727 17.083636 \nC 317.092727 -9.128074 306.678704 -34.269749 288.144227 -52.804227 \nC 269.609749 -71.338704 244.468074 -81.752727 218.256364 -81.752727 \nC 192.044654 -81.752727 166.902979 -71.338704 148.368501 -52.804227 \nC 129.834023 -34.269749 119.42 -9.128074 119.42 17.083636 \nC 119.42 43.295346 129.834023 68.437021 148.368501 86.971499 \nC 166.902979 105.505977 192.044654 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_16\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 231.362219 115.92 243.933056 110.712989 253.200295 101.44575 \nC 262.467534 92.178511 267.674545 79.607673 267.674545 66.501818 \nC 267.674545 53.395963 262.467534 40.825126 253.200295 31.557887 \nC 243.933056 22.290648 231.362219 17.083636 218.256364 17.083636 \nC 205.150509 17.083636 192.579671 22.290648 183.312432 31.557887 \nC 174.045193 40.825126 168.838182 53.395963 168.838182 66.501818 \nC 168.838182 79.607673 174.045193 92.178511 183.312432 101.44575 \nC 192.579671 110.712989 205.150509 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_17\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 224.809291 115.92 231.09471 113.316494 235.728329 108.682875 \nC 240.361949 104.049255 242.965455 97.763837 242.965455 91.210909 \nC 242.965455 84.657982 240.361949 78.372563 235.728329 73.738943 \nC 231.09471 69.105324 224.809291 66.501818 218.256364 66.501818 \nC 211.703436 66.501818 205.418017 69.105324 200.784398 73.738943 \nC 196.150778 78.372563 193.547273 84.657982 193.547273 91.210909 \nC 193.547273 97.763837 196.150778 104.049255 200.784398 108.682875 \nC 205.418017 113.316494 211.703436 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_18\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 221.532827 115.92 224.675537 114.618247 226.992347 112.301437 \nC 229.309156 109.984628 230.610909 106.841918 230.610909 103.565455 \nC 230.610909 100.288991 229.309156 97.146281 226.992347 94.829472 \nC 224.675537 92.512662 221.532827 91.210909 218.256364 91.210909 \nC 214.9799 91.210909 211.837191 92.512662 209.520381 94.829472 \nC 207.203571 97.146281 205.901818 100.288991 205.901818 103.565455 \nC 205.901818 106.841918 207.203571 109.984628 209.520381 112.301437 \nC 211.837191 114.618247 214.9799 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_19\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 219.894596 115.92 221.46595 115.269124 222.624355 114.110719 \nC 223.78276 112.952314 224.433636 111.380959 224.433636 109.742727 \nC 224.433636 108.104495 223.78276 106.533141 222.624355 105.374736 \nC 221.46595 104.216331 219.894596 103.565455 218.256364 103.565455 \nC 216.618132 103.565455 215.046777 104.216331 213.888372 105.374736 \nC 212.729967 106.533141 212.079091 108.104495 212.079091 109.742727 \nC 212.079091 111.380959 212.729967 112.952314 213.888372 114.110719 \nC 215.046777 115.269124 216.618132 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_20\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 219.07548 115.92 219.861157 115.594562 220.440359 115.015359 \nC 221.019562 114.436157 221.345 113.65048 221.345 112.831364 \nC 221.345 112.012248 221.019562 111.22657 220.440359 110.647368 \nC 219.861157 110.068165 219.07548 109.742727 218.256364 109.742727 \nC 217.437248 109.742727 216.65157 110.068165 216.072368 110.647368 \nC 215.493165 111.22657 215.167727 112.012248 215.167727 112.831364 \nC 215.167727 113.65048 215.493165 114.436157 216.072368 115.015359 \nC 216.65157 115.594562 217.437248 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_21\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 113.409524 115.92 12.842823 157.576091 -61.295088 231.714003 \nC -135.433 305.851914 -177.089091 406.418614 -177.089091 511.265455 \nC -177.089091 616.112295 -135.433 716.678995 -61.295088 790.816906 \nC 12.842823 864.954818 113.409524 906.610909 218.256364 906.610909 \nC 323.103204 906.610909 423.669904 864.954818 497.807815 790.816906 \nC 571.945727 716.678995 613.601818 616.112295 613.601818 511.265455 \nC 613.601818 406.418614 571.945727 305.851914 497.807815 231.714003 \nC 423.669904 157.576091 323.103204 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_22\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 165.832944 115.92 115.549594 136.748046 78.480638 173.817001 \nC 41.411682 210.885957 20.583636 261.169307 20.583636 313.592727 \nC 20.583636 366.016147 41.411682 416.299497 78.480638 453.368453 \nC 115.549594 490.437409 165.832944 511.265455 218.256364 511.265455 \nC 270.679784 511.265455 320.963134 490.437409 358.03209 453.368453 \nC 395.101045 416.299497 415.929091 366.016147 415.929091 313.592727 \nC 415.929091 261.169307 395.101045 210.885957 358.03209 173.817001 \nC 320.963134 136.748046 270.679784 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_23\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 192.044654 115.92 166.902979 126.334023 148.368501 144.868501 \nC 129.834023 163.402979 119.42 188.544654 119.42 214.756364 \nC 119.42 240.968074 129.834023 266.109749 148.368501 284.644227 \nC 166.902979 303.178704 192.044654 313.592727 218.256364 313.592727 \nC 244.468074 313.592727 269.609749 303.178704 288.144227 284.644227 \nC 306.678704 266.109749 317.092727 240.968074 317.092727 214.756364 \nC 317.092727 188.544654 306.678704 163.402979 288.144227 144.868501 \nC 269.609749 126.334023 244.468074 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_24\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 205.150509 115.92 192.579671 121.127011 183.312432 130.39425 \nC 174.045193 139.661489 168.838182 152.232327 168.838182 165.338182 \nC 168.838182 178.444037 174.045193 191.014874 183.312432 200.282113 \nC 192.579671 209.549352 205.150509 214.756364 218.256364 214.756364 \nC 231.362219 214.756364 243.933056 209.549352 253.200295 200.282113 \nC 262.467534 191.014874 267.674545 178.444037 267.674545 165.338182 \nC 267.674545 152.232327 262.467534 139.661489 253.200295 130.39425 \nC 243.933056 121.127011 231.362219 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_25\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 211.703436 115.92 205.418017 118.523506 200.784398 123.157125 \nC 196.150778 127.790745 193.547273 134.076163 193.547273 140.629091 \nC 193.547273 147.182018 196.150778 153.467437 200.784398 158.101057 \nC 205.418017 162.734676 211.703436 165.338182 218.256364 165.338182 \nC 224.809291 165.338182 231.09471 162.734676 235.728329 158.101057 \nC 240.361949 153.467437 242.965455 147.182018 242.965455 140.629091 \nC 242.965455 134.076163 240.361949 127.790745 235.728329 123.157125 \nC 231.09471 118.523506 224.809291 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_26\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 214.9799 115.92 211.837191 117.221753 209.520381 119.538563 \nC 207.203571 121.855372 205.901818 124.998082 205.901818 128.274545 \nC 205.901818 131.551009 207.203571 134.693719 209.520381 137.010528 \nC 211.837191 139.327338 214.9799 140.629091 218.256364 140.629091 \nC 221.532827 140.629091 224.675537 139.327338 226.992347 137.010528 \nC 229.309156 134.693719 230.610909 131.551009 230.610909 128.274545 \nC 230.610909 124.998082 229.309156 121.855372 226.992347 119.538563 \nC 224.675537 117.221753 221.532827 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_27\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 216.618132 115.92 215.046777 116.570876 213.888372 117.729281 \nC 212.729967 118.887686 212.079091 120.459041 212.079091 122.097273 \nC 212.079091 123.735505 212.729967 125.306859 213.888372 126.465264 \nC 215.046777 127.623669 216.618132 128.274545 218.256364 128.274545 \nC 219.894596 128.274545 221.46595 127.623669 222.624355 126.465264 \nC 223.78276 125.306859 224.433636 123.735505 224.433636 122.097273 \nC 224.433636 120.459041 223.78276 118.887686 222.624355 117.729281 \nC 221.46595 116.570876 219.894596 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_28\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 217.437248 115.92 216.65157 116.245438 216.072368 116.824641 \nC 215.493165 117.403843 215.167727 118.18952 215.167727 119.008636 \nC 215.167727 119.827752 215.493165 120.61343 216.072368 121.192632 \nC 216.65157 121.771835 217.437248 122.097273 218.256364 122.097273 \nC 219.07548 122.097273 219.861157 121.771835 220.440359 121.192632 \nC 221.019562 120.61343 221.345 119.827752 221.345 119.008636 \nC 221.345 118.18952 221.019562 117.403843 220.440359 116.824641 \nC 219.861157 116.245438 219.07548 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#808080;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_29\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 119.42 214.756364 \nC 145.63171 214.756364 170.773385 204.342341 189.307863 185.807863 \nC 207.842341 167.273385 218.256364 142.13171 218.256364 115.92 \nC 218.256364 89.70829 207.842341 64.566615 189.307863 46.032137 \nC 170.773385 27.497659 145.63171 17.083636 119.42 17.083636 \nC 93.20829 17.083636 68.066615 27.497659 49.532137 46.032137 \nC 30.997659 64.566615 20.583636 89.70829 20.583636 115.92 \nC 20.583636 142.13171 30.997659 167.273385 49.532137 185.807863 \nC 68.066615 204.342341 93.20829 214.756364 119.42 214.756364 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_30\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 168.838182 165.338182 \nC 181.944037 165.338182 194.514874 160.13117 203.782113 150.863931 \nC 213.049352 141.596693 218.256364 129.025855 218.256364 115.92 \nC 218.256364 102.814145 213.049352 90.243307 203.782113 80.976069 \nC 194.514874 71.70883 181.944037 66.501818 168.838182 66.501818 \nC 155.732327 66.501818 143.161489 71.70883 133.89425 80.976069 \nC 124.627011 90.243307 119.42 102.814145 119.42 115.92 \nC 119.42 129.025855 124.627011 141.596693 133.89425 150.863931 \nC 143.161489 160.13117 155.732327 165.338182 168.838182 165.338182 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_31\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 244.468074 115.92 269.609749 105.505977 288.144227 86.971499 \nC 306.678704 68.437021 317.092727 43.295346 317.092727 17.083636 \nC 317.092727 -9.128074 306.678704 -34.269749 288.144227 -52.804227 \nC 269.609749 -71.338704 244.468074 -81.752727 218.256364 -81.752727 \nC 192.044654 -81.752727 166.902979 -71.338704 148.368501 -52.804227 \nC 129.834023 -34.269749 119.42 -9.128074 119.42 17.083636 \nC 119.42 43.295346 129.834023 68.437021 148.368501 86.971499 \nC 166.902979 105.505977 192.044654 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_32\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 115.92 \nC 192.044654 115.92 166.902979 126.334023 148.368501 144.868501 \nC 129.834023 163.402979 119.42 188.544654 119.42 214.756364 \nC 119.42 240.968074 129.834023 266.109749 148.368501 284.644227 \nC 166.902979 303.178704 192.044654 313.592727 218.256364 313.592727 \nC 244.468074 313.592727 269.609749 303.178704 288.144227 284.644227 \nC 306.678704 266.109749 317.092727 240.968074 317.092727 214.756364 \nC 317.092727 188.544654 306.678704 163.402979 288.144227 144.868501 \nC 269.609749 126.334023 244.468074 115.92 218.256364 115.92 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\"/>\n   <g id=\"matplotlib.axis_2\"/>\n   <g id=\"line2d_1\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 10.7 115.92 \nL 228.14 115.92 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.1;\"/>\n   </g>\n   <g id=\"line2d_2\">\n    <path clip-path=\"url(#pca713ef905)\" d=\"M 218.256364 224.64 \nL 218.256364 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_3\"/>\n   <g id=\"line2d_4\">\n    <path clip-path=\"url(#p8d77cbedeb)\" d=\"M 120.663739 117.510202 \nL 119.447263 122.422248 \nL 116.337155 126.876159 \nL 111.827466 129.557366 \nL 106.542114 130.498764 \nL 101.351431 129.402256 \nL 96.962689 126.611945 \nL 93.868145 122.501509 \nL 92.439452 117.652351 \nL 92.767321 112.64806 \nL 94.795065 108.116994 \nL 98.241473 104.538802 \nL 102.720692 102.402584 \nL 107.621268 101.970567 \nL 112.379872 103.256811 \nL 116.323695 106.114866 \nL 118.903169 110.12072 \nL 119.882164 114.614086 \nL 119.236405 118.960389 \nL 117.292032 122.519236 \nL 114.523223 124.940106 \nL 111.505574 126.088726 \nL 108.805993 126.107575 \nL 106.758091 125.366698 \nL 105.553018 124.279635 \nL 105.049871 123.232367 \nL 105.035945 122.420429 \nL 105.349312 121.773614 \nL 106.025897 121.071893 \nL 107.601609 120.159487 \nL 110.898733 119.455961 \nL 116.879048 120.604867 \nL 124.906362 126.79366 \nL 130.532462 140.901525 \nL 126.513204 160.358889 \nL 110.694211 176.056037 \nL 89.50938 181.697325 \nL 70.002584 178.266279 \nL 54.927838 169.803104 \nL 44.240658 159.272363 \nL 37.055352 148.287921 \nL 32.414486 137.561528 \nL 29.699193 127.437006 \nL 28.438938 117.910014 \nL 28.2871 109.125003 \nL 28.941078 100.957313 \nL 30.277517 93.46165 \nL 32.198925 86.500763 \nL 34.51886 80.130634 \nL 37.170936 74.221792 \nL 40.116248 68.771971 \nL 43.235353 63.745311 \nL 46.610951 59.117499 \nL 50.161468 54.882559 \nL 53.795526 50.971695 \nL 57.503565 47.390392 \nL 61.285049 44.059607 \nL 65.179288 41.123604 \nL 69.061109 38.454944 \nL 73.009066 35.986806 \nL 76.893482 33.820146 \nL 80.895634 31.817435 \nL 84.931001 30.142045 \nL 88.990174 28.702265 \nL 92.971695 27.362021 \nL 96.949298 26.31252 \nL 100.922701 25.350155 \nL 104.838141 24.661325 \nL 108.654563 24.101293 \nL 112.496628 23.759515 \nL 116.338064 23.555512 \nL 120.032739 23.512654 \nL 123.717361 23.63361 \nL 127.410154 23.803021 \nL 131.070948 24.161889 \nL 134.577769 24.611593 \nL 138.116964 25.266112 \nL 141.50487 26.048622 \nL 144.921324 26.977944 \nL 148.24812 27.947119 \nL 151.522736 29.07195 \nL 154.681379 30.267025 \nL 157.771191 31.565036 \nL 160.77225 32.910583 \nL 163.731102 34.440173 \nL 166.662237 36.038218 \nL 169.529862 37.747693 \nL 172.225032 39.524186 \nL 174.872218 41.391849 \nL 177.461542 43.301887 \nL 179.938976 45.348334 \nL 182.32739 47.427571 \nL 184.580108 49.554395 \nL 186.814822 51.776556 \nL 188.934112 54.033085 \nL 191.004106 56.44339 \nL 192.991553 58.767844 \nL 194.830903 61.203952 \nL 196.621187 63.745004 \nL 198.27964 66.239275 \nL 202.049264 72.521401 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_33\">\n    <path d=\"M 10.7 224.64 \nL 10.7 7.2 \n\" style=\"fill:none;\"/>\n   </g>\n   <g id=\"patch_34\">\n    <path d=\"M 228.14 224.64 \nL 228.14 7.2 \n\" style=\"fill:none;\"/>\n   </g>\n   <g id=\"patch_35\">\n    <path d=\"M 10.7 224.64 \nL 228.14 224.64 \n\" style=\"fill:none;\"/>\n   </g>\n   <g id=\"patch_36\">\n    <path d=\"M 10.7 7.2 \nL 228.14 7.2 \n\" style=\"fill:none;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_37\">\n     <path d=\"M 17.7 29.878125 \nL 68.773438 29.878125 \nQ 70.773438 29.878125 70.773438 27.878125 \nL 70.773438 14.2 \nQ 70.773438 12.2 68.773438 12.2 \nL 17.7 12.2 \nQ 15.7 12.2 15.7 14.2 \nL 15.7 27.878125 \nQ 15.7 29.878125 17.7 29.878125 \nz\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n    </g>\n    <g id=\"line2d_5\">\n     <path d=\"M 19.7 20.298437 \nL 39.7 20.298437 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n    </g>\n    <g id=\"line2d_6\"/>\n    <g id=\"text_1\">\n     <!-- S11 -->\n     <defs>\n      <path d=\"M 53.515625 70.515625 \nL 53.515625 60.890625 \nQ 47.90625 63.578125 42.921875 64.890625 \nQ 37.9375 66.21875 33.296875 66.21875 \nQ 25.25 66.21875 20.875 63.09375 \nQ 16.5 59.96875 16.5 54.203125 \nQ 16.5 49.359375 19.40625 46.890625 \nQ 22.3125 44.4375 30.421875 42.921875 \nL 36.375 41.703125 \nQ 47.40625 39.59375 52.65625 34.296875 \nQ 57.90625 29 57.90625 20.125 \nQ 57.90625 9.515625 50.796875 4.046875 \nQ 43.703125 -1.421875 29.984375 -1.421875 \nQ 24.8125 -1.421875 18.96875 -0.25 \nQ 13.140625 0.921875 6.890625 3.21875 \nL 6.890625 13.375 \nQ 12.890625 10.015625 18.65625 8.296875 \nQ 24.421875 6.59375 29.984375 6.59375 \nQ 38.421875 6.59375 43.015625 9.90625 \nQ 47.609375 13.234375 47.609375 19.390625 \nQ 47.609375 24.75 44.3125 27.78125 \nQ 41.015625 30.8125 33.5 32.328125 \nL 27.484375 33.5 \nQ 16.453125 35.6875 11.515625 40.375 \nQ 6.59375 45.0625 6.59375 53.421875 \nQ 6.59375 63.09375 13.40625 68.65625 \nQ 20.21875 74.21875 32.171875 74.21875 \nQ 37.3125 74.21875 42.625 73.28125 \nQ 47.953125 72.359375 53.515625 70.515625 \nz\n\" id=\"DejaVuSans-83\"/>\n      <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n     </defs>\n     <g transform=\"translate(47.7 23.798437)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-49\"/>\n      <use x=\"127.099609\" xlink:href=\"#DejaVuSans-49\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p8d77cbedeb\">\n   <rect height=\"217.44\" width=\"217.44\" x=\"10.7\" y=\"7.2\"/>\n  </clipPath>\n  <clipPath id=\"pca713ef905\">\n   <path d=\"M 119.42 214.756364 \nC 145.63171 214.756364 170.773385 204.342341 189.307863 185.807863 \nC 207.842341 167.273385 218.256364 142.13171 218.256364 115.92 \nC 218.256364 89.70829 207.842341 64.566615 189.307863 46.032137 \nC 170.773385 27.497659 145.63171 17.083636 119.42 17.083636 \nC 93.20829 17.083636 68.066615 27.497659 49.532137 46.032137 \nC 30.997659 64.566615 20.583636 89.70829 20.583636 115.92 \nC 20.583636 142.13171 30.997659 167.273385 49.532137 185.807863 \nC 68.066615 204.342341 93.20829 214.756364 119.42 214.756364 \nz\n\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "text/plain": "<Figure size 432x288 with 1 Axes>"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = nv.smith(s11)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 406.889062 262.19625\" width=\"406.889062pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 262.19625 \nL 406.889062 262.19625 \nL 406.889062 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 55.345313 224.64 \nL 390.145312 224.64 \nL 390.145312 7.2 \nL 55.345313 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"me717f93f5f\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"110.212202\" xlink:href=\"#me717f93f5f\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 50 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g transform=\"translate(103.849702 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"166.198824\" xlink:href=\"#me717f93f5f\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(156.655074 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"222.185446\" xlink:href=\"#me717f93f5f\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 150 -->\n      <g transform=\"translate(212.641696 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"278.172068\" xlink:href=\"#me717f93f5f\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 200 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(268.628318 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"334.15869\" xlink:href=\"#me717f93f5f\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 250 -->\n      <g transform=\"translate(324.61494 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"390.145312\" xlink:href=\"#me717f93f5f\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 300 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(380.601562 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_7\">\n     <!-- Frequency (MHz) -->\n     <defs>\n      <path d=\"M 9.8125 72.90625 \nL 51.703125 72.90625 \nL 51.703125 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.109375 \nL 48.578125 43.109375 \nL 48.578125 34.8125 \nL 19.671875 34.8125 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-70\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\nM 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nL 54.390625 -20.796875 \nL 45.40625 -20.796875 \nz\n\" id=\"DejaVuSans-113\"/>\n      <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 32.171875 -5.078125 \nQ 28.375 -14.84375 24.75 -17.8125 \nQ 21.140625 -20.796875 15.09375 -20.796875 \nL 7.90625 -20.796875 \nL 7.90625 -13.28125 \nL 13.1875 -13.28125 \nQ 16.890625 -13.28125 18.9375 -11.515625 \nQ 21 -9.765625 23.484375 -3.21875 \nL 25.09375 0.875 \nL 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 11.921875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nz\n\" id=\"DejaVuSans-121\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n      <path d=\"M 9.8125 72.90625 \nL 24.515625 72.90625 \nL 43.109375 23.296875 \nL 61.8125 72.90625 \nL 76.515625 72.90625 \nL 76.515625 0 \nL 66.890625 0 \nL 66.890625 64.015625 \nL 48.09375 14.015625 \nL 38.1875 14.015625 \nL 19.390625 64.015625 \nL 19.390625 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-77\"/>\n      <path d=\"M 9.8125 72.90625 \nL 19.671875 72.90625 \nL 19.671875 43.015625 \nL 55.515625 43.015625 \nL 55.515625 72.90625 \nL 65.375 72.90625 \nL 65.375 0 \nL 55.515625 0 \nL 55.515625 34.71875 \nL 19.671875 34.71875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-72\"/>\n      <path d=\"M 5.515625 54.6875 \nL 48.1875 54.6875 \nL 48.1875 46.484375 \nL 14.40625 7.171875 \nL 48.1875 7.171875 \nL 48.1875 0 \nL 4.296875 0 \nL 4.296875 8.203125 \nL 38.09375 47.515625 \nL 5.515625 47.515625 \nz\n\" id=\"DejaVuSans-122\"/>\n      <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n     </defs>\n     <g transform=\"translate(180.258594 252.916562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-70\"/>\n      <use x=\"57.410156\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"98.492188\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"160.015625\" xlink:href=\"#DejaVuSans-113\"/>\n      <use x=\"223.492188\" xlink:href=\"#DejaVuSans-117\"/>\n      <use x=\"286.871094\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"348.394531\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"411.773438\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"466.753906\" xlink:href=\"#DejaVuSans-121\"/>\n      <use x=\"525.933594\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"557.720703\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"596.734375\" xlink:href=\"#DejaVuSans-77\"/>\n      <use x=\"683.013672\" xlink:href=\"#DejaVuSans-72\"/>\n      <use x=\"758.208984\" xlink:href=\"#DejaVuSans-122\"/>\n      <use x=\"810.699219\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m0aafb43847\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"55.345313\" xlink:href=\"#m0aafb43847\" y=\"198.725985\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- −150 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n      </defs>\n      <g transform=\"translate(20.878125 202.525204)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"211.035156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"55.345313\" xlink:href=\"#m0aafb43847\" y=\"170.844136\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- −100 -->\n      <g transform=\"translate(20.878125 174.643355)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"211.035156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"55.345313\" xlink:href=\"#m0aafb43847\" y=\"142.962287\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- −50 -->\n      <g transform=\"translate(27.240625 146.761506)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"55.345313\" xlink:href=\"#m0aafb43847\" y=\"115.080438\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0 -->\n      <g transform=\"translate(41.982813 118.879657)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"55.345313\" xlink:href=\"#m0aafb43847\" y=\"87.198589\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 50 -->\n      <g transform=\"translate(35.620313 90.997808)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"55.345313\" xlink:href=\"#m0aafb43847\" y=\"59.31674\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 100 -->\n      <g transform=\"translate(29.257813 63.115958)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"55.345313\" xlink:href=\"#m0aafb43847\" y=\"31.434891\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 150 -->\n      <g transform=\"translate(29.257813 35.234109)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_15\">\n     <!-- Phase (deg) -->\n     <defs>\n      <path d=\"M 19.671875 64.796875 \nL 19.671875 37.40625 \nL 32.078125 37.40625 \nQ 38.96875 37.40625 42.71875 40.96875 \nQ 46.484375 44.53125 46.484375 51.125 \nQ 46.484375 57.671875 42.71875 61.234375 \nQ 38.96875 64.796875 32.078125 64.796875 \nz\nM 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.34375 72.90625 50.609375 67.359375 \nQ 56.890625 61.8125 56.890625 51.125 \nQ 56.890625 40.328125 50.609375 34.8125 \nQ 44.34375 29.296875 32.078125 29.296875 \nL 19.671875 29.296875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-80\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n      <path d=\"M 45.40625 27.984375 \nQ 45.40625 37.75 41.375 43.109375 \nQ 37.359375 48.484375 30.078125 48.484375 \nQ 22.859375 48.484375 18.828125 43.109375 \nQ 14.796875 37.75 14.796875 27.984375 \nQ 14.796875 18.265625 18.828125 12.890625 \nQ 22.859375 7.515625 30.078125 7.515625 \nQ 37.359375 7.515625 41.375 12.890625 \nQ 45.40625 18.265625 45.40625 27.984375 \nz\nM 54.390625 6.78125 \nQ 54.390625 -7.171875 48.1875 -13.984375 \nQ 42 -20.796875 29.203125 -20.796875 \nQ 24.46875 -20.796875 20.265625 -20.09375 \nQ 16.0625 -19.390625 12.109375 -17.921875 \nL 12.109375 -9.1875 \nQ 16.0625 -11.328125 19.921875 -12.34375 \nQ 23.78125 -13.375 27.78125 -13.375 \nQ 36.625 -13.375 41.015625 -8.765625 \nQ 45.40625 -4.15625 45.40625 5.171875 \nL 45.40625 9.625 \nQ 42.625 4.78125 38.28125 2.390625 \nQ 33.9375 0 27.875 0 \nQ 17.828125 0 11.671875 7.65625 \nQ 5.515625 15.328125 5.515625 27.984375 \nQ 5.515625 40.671875 11.671875 48.328125 \nQ 17.828125 56 27.875 56 \nQ 33.9375 56 38.28125 53.609375 \nQ 42.625 51.21875 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nz\n\" id=\"DejaVuSans-103\"/>\n     </defs>\n     <g transform=\"translate(14.798438 145.764531)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-80\"/>\n      <use x=\"60.302734\" xlink:href=\"#DejaVuSans-104\"/>\n      <use x=\"123.681641\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"184.960938\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"237.060547\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"298.583984\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"330.371094\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"369.384766\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"432.861328\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"494.384766\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"557.861328\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_14\">\n    <path clip-path=\"url(#pea2850f8a5)\" d=\"M 55.345313 144.060882 \nL 58.693313 165.133802 \nL 62.041313 174.031336 \nL 65.389313 181.498712 \nL 68.737313 188.384711 \nL 72.085313 194.973501 \nL 75.433312 201.258126 \nL 78.781313 207.4006 \nL 82.129312 213.406465 \nL 85.477313 18.608534 \nL 88.825312 24.51019 \nL 92.173313 30.460857 \nL 95.521312 36.447362 \nL 98.869313 42.462015 \nL 102.217312 48.681505 \nL 105.565313 55.120361 \nL 108.913312 62.053208 \nL 112.261313 75.760856 \nL 115.609312 167.194751 \nL 118.957313 175.234004 \nL 122.305312 181.158395 \nL 125.653312 186.398859 \nL 129.001312 191.016318 \nL 132.349312 194.975545 \nL 135.697313 198.121815 \nL 139.045312 200.41581 \nL 142.393312 201.893854 \nL 145.741312 202.859172 \nL 149.089313 203.723147 \nL 152.437312 204.450742 \nL 155.785312 202.887987 \nL 159.133312 181.146075 \nL 162.481313 150.337891 \nL 165.829312 151.895185 \nL 169.177312 160.210622 \nL 172.525312 169.871643 \nL 175.873312 178.903384 \nL 179.221312 186.68177 \nL 182.569312 193.217254 \nL 185.917312 198.742708 \nL 189.265312 203.491555 \nL 192.613312 207.665944 \nL 195.961312 211.37611 \nL 199.309312 214.756364 \nL 202.657312 17.083636 \nL 206.005312 19.942069 \nL 209.353312 22.59115 \nL 212.701312 25.099575 \nL 216.049312 27.45194 \nL 219.397312 29.697217 \nL 222.745312 31.843373 \nL 226.093312 33.89134 \nL 229.441312 35.873586 \nL 232.789312 37.786197 \nL 236.137312 39.633993 \nL 239.485312 41.417829 \nL 242.833312 43.160431 \nL 246.181312 44.846728 \nL 249.529312 46.475865 \nL 252.877312 48.085723 \nL 256.225312 49.623061 \nL 259.573312 51.169209 \nL 262.921312 52.678781 \nL 266.269312 54.167731 \nL 269.617312 55.620426 \nL 272.965312 57.042886 \nL 276.313312 58.456353 \nL 279.661313 59.830702 \nL 283.009312 61.164075 \nL 286.357312 62.497411 \nL 289.705312 63.827417 \nL 293.053312 65.104963 \nL 296.401312 66.379814 \nL 299.749312 67.657529 \nL 303.097312 68.928385 \nL 306.445312 70.149119 \nL 309.793312 71.391586 \nL 313.141312 72.591967 \nL 316.489312 73.814504 \nL 319.837312 75.010664 \nL 323.185313 76.205589 \nL 326.533312 77.370711 \nL 329.881312 78.526482 \nL 333.229312 79.659785 \nL 336.577312 80.807308 \nL 339.925312 81.956885 \nL 343.273312 83.105871 \nL 346.621312 84.216543 \nL 349.969313 85.330989 \nL 353.317312 86.437038 \nL 356.665312 87.541454 \nL 360.013312 88.629572 \nL 363.361312 89.693942 \nL 366.709313 90.776363 \nL 370.057312 91.839253 \nL 373.405312 92.93001 \nL 376.753312 93.97894 \nL 380.101312 95.025809 \nL 383.449312 96.091746 \nL 386.797312 97.118679 \nL 390.145312 99.62866 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 55.345313 224.64 \nL 55.345313 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 390.145312 224.64 \nL 390.145312 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 55.345313 224.64 \nL 390.145312 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 55.345313 7.2 \nL 390.145312 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 332.071875 29.878125 \nL 383.145312 29.878125 \nQ 385.145312 29.878125 385.145312 27.878125 \nL 385.145312 14.2 \nQ 385.145312 12.2 383.145312 12.2 \nL 332.071875 12.2 \nQ 330.071875 12.2 330.071875 14.2 \nL 330.071875 27.878125 \nQ 330.071875 29.878125 332.071875 29.878125 \nz\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n    </g>\n    <g id=\"line2d_15\">\n     <path d=\"M 334.071875 20.298437 \nL 354.071875 20.298437 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n    </g>\n    <g id=\"line2d_16\"/>\n    <g id=\"text_16\">\n     <!-- S11 -->\n     <defs>\n      <path d=\"M 53.515625 70.515625 \nL 53.515625 60.890625 \nQ 47.90625 63.578125 42.921875 64.890625 \nQ 37.9375 66.21875 33.296875 66.21875 \nQ 25.25 66.21875 20.875 63.09375 \nQ 16.5 59.96875 16.5 54.203125 \nQ 16.5 49.359375 19.40625 46.890625 \nQ 22.3125 44.4375 30.421875 42.921875 \nL 36.375 41.703125 \nQ 47.40625 39.59375 52.65625 34.296875 \nQ 57.90625 29 57.90625 20.125 \nQ 57.90625 9.515625 50.796875 4.046875 \nQ 43.703125 -1.421875 29.984375 -1.421875 \nQ 24.8125 -1.421875 18.96875 -0.25 \nQ 13.140625 0.921875 6.890625 3.21875 \nL 6.890625 13.375 \nQ 12.890625 10.015625 18.65625 8.296875 \nQ 24.421875 6.59375 29.984375 6.59375 \nQ 38.421875 6.59375 43.015625 9.90625 \nQ 47.609375 13.234375 47.609375 19.390625 \nQ 47.609375 24.75 44.3125 27.78125 \nQ 41.015625 30.8125 33.5 32.328125 \nL 27.484375 33.5 \nQ 16.453125 35.6875 11.515625 40.375 \nQ 6.59375 45.0625 6.59375 53.421875 \nQ 6.59375 63.09375 13.40625 68.65625 \nQ 20.21875 74.21875 32.171875 74.21875 \nQ 37.3125 74.21875 42.625 73.28125 \nQ 47.953125 72.359375 53.515625 70.515625 \nz\n\" id=\"DejaVuSans-83\"/>\n     </defs>\n     <g transform=\"translate(362.071875 23.798437)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-49\"/>\n      <use x=\"127.099609\" xlink:href=\"#DejaVuSans-49\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pea2850f8a5\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"55.345313\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "text/plain": "<Figure size 432x288 with 1 Axes>"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "n.plot_s_deg()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 400.526562 262.19625\" width=\"400.526562pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 262.19625 \nL 400.526562 262.19625 \nL 400.526562 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 48.982813 224.64 \nL 383.782813 224.64 \nL 383.782813 7.2 \nL 48.982813 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m41e7c9b772\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"103.849702\" xlink:href=\"#m41e7c9b772\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 50 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g transform=\"translate(97.487202 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"159.836324\" xlink:href=\"#m41e7c9b772\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(150.292574 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"215.822946\" xlink:href=\"#m41e7c9b772\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 150 -->\n      <g transform=\"translate(206.279196 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"271.809568\" xlink:href=\"#m41e7c9b772\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 200 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(262.265818 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"327.79619\" xlink:href=\"#m41e7c9b772\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 250 -->\n      <g transform=\"translate(318.25244 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"383.782813\" xlink:href=\"#m41e7c9b772\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 300 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(374.239063 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_7\">\n     <!-- Frequency (MHz) -->\n     <defs>\n      <path d=\"M 9.8125 72.90625 \nL 51.703125 72.90625 \nL 51.703125 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.109375 \nL 48.578125 43.109375 \nL 48.578125 34.8125 \nL 19.671875 34.8125 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-70\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\nM 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nL 54.390625 -20.796875 \nL 45.40625 -20.796875 \nz\n\" id=\"DejaVuSans-113\"/>\n      <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 32.171875 -5.078125 \nQ 28.375 -14.84375 24.75 -17.8125 \nQ 21.140625 -20.796875 15.09375 -20.796875 \nL 7.90625 -20.796875 \nL 7.90625 -13.28125 \nL 13.1875 -13.28125 \nQ 16.890625 -13.28125 18.9375 -11.515625 \nQ 21 -9.765625 23.484375 -3.21875 \nL 25.09375 0.875 \nL 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 11.921875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nz\n\" id=\"DejaVuSans-121\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n      <path d=\"M 9.8125 72.90625 \nL 24.515625 72.90625 \nL 43.109375 23.296875 \nL 61.8125 72.90625 \nL 76.515625 72.90625 \nL 76.515625 0 \nL 66.890625 0 \nL 66.890625 64.015625 \nL 48.09375 14.015625 \nL 38.1875 14.015625 \nL 19.390625 64.015625 \nL 19.390625 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-77\"/>\n      <path d=\"M 9.8125 72.90625 \nL 19.671875 72.90625 \nL 19.671875 43.015625 \nL 55.515625 43.015625 \nL 55.515625 72.90625 \nL 65.375 72.90625 \nL 65.375 0 \nL 55.515625 0 \nL 55.515625 34.71875 \nL 19.671875 34.71875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-72\"/>\n      <path d=\"M 5.515625 54.6875 \nL 48.1875 54.6875 \nL 48.1875 46.484375 \nL 14.40625 7.171875 \nL 48.1875 7.171875 \nL 48.1875 0 \nL 4.296875 0 \nL 4.296875 8.203125 \nL 38.09375 47.515625 \nL 5.515625 47.515625 \nz\n\" id=\"DejaVuSans-122\"/>\n      <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n     </defs>\n     <g transform=\"translate(173.896094 252.916562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-70\"/>\n      <use x=\"57.410156\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"98.492188\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"160.015625\" xlink:href=\"#DejaVuSans-113\"/>\n      <use x=\"223.492188\" xlink:href=\"#DejaVuSans-117\"/>\n      <use x=\"286.871094\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"348.394531\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"411.773438\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"466.753906\" xlink:href=\"#DejaVuSans-121\"/>\n      <use x=\"525.933594\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"557.720703\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"596.734375\" xlink:href=\"#DejaVuSans-77\"/>\n      <use x=\"683.013672\" xlink:href=\"#DejaVuSans-72\"/>\n      <use x=\"758.208984\" xlink:href=\"#DejaVuSans-122\"/>\n      <use x=\"810.699219\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m0526a1aafe\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"48.982813\" xlink:href=\"#m0526a1aafe\" y=\"203.580468\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- −35 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n      </defs>\n      <g transform=\"translate(20.878125 207.379687)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"48.982813\" xlink:href=\"#m0526a1aafe\" y=\"176.553792\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- −30 -->\n      <g transform=\"translate(20.878125 180.35301)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"48.982813\" xlink:href=\"#m0526a1aafe\" y=\"149.527116\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- −25 -->\n      <g transform=\"translate(20.878125 153.326334)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"48.982813\" xlink:href=\"#m0526a1aafe\" y=\"122.500439\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- −20 -->\n      <g transform=\"translate(20.878125 126.299658)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"48.982813\" xlink:href=\"#m0526a1aafe\" y=\"95.473763\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- −15 -->\n      <g transform=\"translate(20.878125 99.272982)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"48.982813\" xlink:href=\"#m0526a1aafe\" y=\"68.447087\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- −10 -->\n      <g transform=\"translate(20.878125 72.246306)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"48.982813\" xlink:href=\"#m0526a1aafe\" y=\"41.420411\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- −5 -->\n      <g transform=\"translate(27.240625 45.21963)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"48.982813\" xlink:href=\"#m0526a1aafe\" y=\"14.393735\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 0 -->\n      <g transform=\"translate(35.620312 18.192954)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_16\">\n     <!-- Magnitude (dB) -->\n     <defs>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 45.40625 27.984375 \nQ 45.40625 37.75 41.375 43.109375 \nQ 37.359375 48.484375 30.078125 48.484375 \nQ 22.859375 48.484375 18.828125 43.109375 \nQ 14.796875 37.75 14.796875 27.984375 \nQ 14.796875 18.265625 18.828125 12.890625 \nQ 22.859375 7.515625 30.078125 7.515625 \nQ 37.359375 7.515625 41.375 12.890625 \nQ 45.40625 18.265625 45.40625 27.984375 \nz\nM 54.390625 6.78125 \nQ 54.390625 -7.171875 48.1875 -13.984375 \nQ 42 -20.796875 29.203125 -20.796875 \nQ 24.46875 -20.796875 20.265625 -20.09375 \nQ 16.0625 -19.390625 12.109375 -17.921875 \nL 12.109375 -9.1875 \nQ 16.0625 -11.328125 19.921875 -12.34375 \nQ 23.78125 -13.375 27.78125 -13.375 \nQ 36.625 -13.375 41.015625 -8.765625 \nQ 45.40625 -4.15625 45.40625 5.171875 \nL 45.40625 9.625 \nQ 42.625 4.78125 38.28125 2.390625 \nQ 33.9375 0 27.875 0 \nQ 17.828125 0 11.671875 7.65625 \nQ 5.515625 15.328125 5.515625 27.984375 \nQ 5.515625 40.671875 11.671875 48.328125 \nQ 17.828125 56 27.875 56 \nQ 33.9375 56 38.28125 53.609375 \nQ 42.625 51.21875 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nz\n\" id=\"DejaVuSans-103\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n      <path d=\"M 19.671875 34.8125 \nL 19.671875 8.109375 \nL 35.5 8.109375 \nQ 43.453125 8.109375 47.28125 11.40625 \nQ 51.125 14.703125 51.125 21.484375 \nQ 51.125 28.328125 47.28125 31.5625 \nQ 43.453125 34.8125 35.5 34.8125 \nz\nM 19.671875 64.796875 \nL 19.671875 42.828125 \nL 34.28125 42.828125 \nQ 41.5 42.828125 45.03125 45.53125 \nQ 48.578125 48.25 48.578125 53.8125 \nQ 48.578125 59.328125 45.03125 62.0625 \nQ 41.5 64.796875 34.28125 64.796875 \nz\nM 9.8125 72.90625 \nL 35.015625 72.90625 \nQ 46.296875 72.90625 52.390625 68.21875 \nQ 58.5 63.53125 58.5 54.890625 \nQ 58.5 48.1875 55.375 44.234375 \nQ 52.25 40.28125 46.1875 39.3125 \nQ 53.46875 37.75 57.5 32.78125 \nQ 61.53125 27.828125 61.53125 20.40625 \nQ 61.53125 10.640625 54.890625 5.3125 \nQ 48.25 0 35.984375 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-66\"/>\n     </defs>\n     <g transform=\"translate(14.798437 154.505156)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-77\"/>\n      <use x=\"86.279297\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"147.558594\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"211.035156\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"274.414062\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"302.197266\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"341.40625\" xlink:href=\"#DejaVuSans-117\"/>\n      <use x=\"404.785156\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"468.261719\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"529.785156\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"561.572266\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"600.585938\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"664.0625\" xlink:href=\"#DejaVuSans-66\"/>\n      <use x=\"732.666016\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_15\">\n    <path clip-path=\"url(#pb8c8f7505d)\" d=\"M 48.982813 197.074538 \nL 52.330813 142.159579 \nL 55.678813 115.874855 \nL 59.026813 101.047358 \nL 62.374813 90.711933 \nL 65.722813 83.785314 \nL 69.070813 79.170707 \nL 72.418813 76.397851 \nL 75.766813 75.25485 \nL 79.114812 75.574322 \nL 82.462813 77.39449 \nL 85.810812 80.763648 \nL 89.158813 86.045753 \nL 92.506812 93.654944 \nL 95.854813 104.542844 \nL 99.202813 120.64341 \nL 102.550813 147.346043 \nL 105.898813 214.756364 \nL 109.246813 177.76429 \nL 112.594813 139.142692 \nL 115.942813 120.729499 \nL 119.290813 110.047511 \nL 122.638813 103.824375 \nL 125.986813 100.481886 \nL 129.334812 99.324493 \nL 132.682813 99.522798 \nL 136.030812 100.520243 \nL 139.378813 102.169868 \nL 142.726812 104.991714 \nL 146.074813 111.265238 \nL 149.422812 125.73431 \nL 152.770813 151.497236 \nL 156.118813 112.694351 \nL 159.466813 74.727302 \nL 162.814813 51.332766 \nL 166.162813 37.232092 \nL 169.510813 29.099206 \nL 172.858812 24.582189 \nL 176.206813 22.008079 \nL 179.554812 20.499605 \nL 182.902813 19.581887 \nL 186.250812 18.97035 \nL 189.598813 18.553107 \nL 192.946812 18.270646 \nL 196.294813 18.073439 \nL 199.642812 17.908345 \nL 202.990813 17.795732 \nL 206.338812 17.734012 \nL 209.686813 17.689518 \nL 213.034812 17.64927 \nL 216.382812 17.626168 \nL 219.730813 17.586827 \nL 223.078812 17.58302 \nL 226.426813 17.597802 \nL 229.774812 17.590806 \nL 233.122813 17.576771 \nL 236.470812 17.539272 \nL 239.818813 17.558604 \nL 243.166812 17.557787 \nL 246.514813 17.540092 \nL 249.862812 17.524708 \nL 253.210813 17.50144 \nL 256.558812 17.528943 \nL 259.906813 17.568638 \nL 263.254813 17.543559 \nL 266.602813 17.564442 \nL 269.950813 17.535265 \nL 273.298812 17.547 \nL 276.646813 17.531083 \nL 279.994813 17.545044 \nL 283.342813 17.547218 \nL 286.690812 17.550528 \nL 290.038813 17.562208 \nL 293.386813 17.523363 \nL 296.734813 17.507127 \nL 300.082812 17.475079 \nL 303.430813 17.473104 \nL 306.778813 17.481594 \nL 310.126813 17.491461 \nL 313.474813 17.466024 \nL 316.822813 17.458133 \nL 320.170813 17.439993 \nL 323.518813 17.421459 \nL 326.866813 17.38322 \nL 330.214813 17.378132 \nL 333.562813 17.349518 \nL 336.910813 17.325056 \nL 340.258813 17.317477 \nL 343.606813 17.304683 \nL 346.954813 17.269841 \nL 350.302813 17.267952 \nL 353.650813 17.252622 \nL 356.998813 17.24806 \nL 360.346813 17.231213 \nL 363.694813 17.215602 \nL 367.042813 17.216823 \nL 370.390813 17.169737 \nL 373.738813 17.165659 \nL 377.086813 17.161324 \nL 380.434813 17.148447 \nL 383.782813 17.083636 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 48.982813 224.64 \nL 48.982813 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 383.782813 224.64 \nL 383.782813 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 48.982813 224.64 \nL 383.782813 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 48.982813 7.2 \nL 383.782813 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 55.982813 29.878125 \nL 107.05625 29.878125 \nQ 109.05625 29.878125 109.05625 27.878125 \nL 109.05625 14.2 \nQ 109.05625 12.2 107.05625 12.2 \nL 55.982813 12.2 \nQ 53.982813 12.2 53.982813 14.2 \nL 53.982813 27.878125 \nQ 53.982813 29.878125 55.982813 29.878125 \nz\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n    </g>\n    <g id=\"line2d_16\">\n     <path d=\"M 57.982813 20.298437 \nL 77.982812 20.298437 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n    </g>\n    <g id=\"line2d_17\"/>\n    <g id=\"text_17\">\n     <!-- S11 -->\n     <defs>\n      <path d=\"M 53.515625 70.515625 \nL 53.515625 60.890625 \nQ 47.90625 63.578125 42.921875 64.890625 \nQ 37.9375 66.21875 33.296875 66.21875 \nQ 25.25 66.21875 20.875 63.09375 \nQ 16.5 59.96875 16.5 54.203125 \nQ 16.5 49.359375 19.40625 46.890625 \nQ 22.3125 44.4375 30.421875 42.921875 \nL 36.375 41.703125 \nQ 47.40625 39.59375 52.65625 34.296875 \nQ 57.90625 29 57.90625 20.125 \nQ 57.90625 9.515625 50.796875 4.046875 \nQ 43.703125 -1.421875 29.984375 -1.421875 \nQ 24.8125 -1.421875 18.96875 -0.25 \nQ 13.140625 0.921875 6.890625 3.21875 \nL 6.890625 13.375 \nQ 12.890625 10.015625 18.65625 8.296875 \nQ 24.421875 6.59375 29.984375 6.59375 \nQ 38.421875 6.59375 43.015625 9.90625 \nQ 47.609375 13.234375 47.609375 19.390625 \nQ 47.609375 24.75 44.3125 27.78125 \nQ 41.015625 30.8125 33.5 32.328125 \nL 27.484375 33.5 \nQ 16.453125 35.6875 11.515625 40.375 \nQ 6.59375 45.0625 6.59375 53.421875 \nQ 6.59375 63.09375 13.40625 68.65625 \nQ 20.21875 74.21875 32.171875 74.21875 \nQ 37.3125 74.21875 42.625 73.28125 \nQ 47.953125 72.359375 53.515625 70.515625 \nz\n\" id=\"DejaVuSans-83\"/>\n     </defs>\n     <g transform=\"translate(85.982812 23.798437)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-49\"/>\n      <use x=\"127.099609\" xlink:href=\"#DejaVuSans-49\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pb8c8f7505d\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"48.982813\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "text/plain": "<Figure size 432x288 with 1 Axes>"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "n.plot_s_db()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "outputs": [],
   "source": [
    "## read/write touchstone file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "n.write_touchstone('100mhz-lpf-s11')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import skrf\n",
    "m = skrf.Network('100mhz-lpf-s11.s1p')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "outputs": [],
   "source": [
    "## read/write by skrf network format"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "n.write('100mhz-lpf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "1-Port Network: '',  1.0-300.0 MHz, 101 pts, z0=[50.+0.j]"
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import skrf\n",
    "skrf.read('100mhz-lpf.ntwk')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  },
  "toc": {
   "toc_cell": false,
   "toc_number_sections": true,
   "toc_threshold": 6,
   "toc_window_display": false
  },
  "widgets": {
   "state": {},
   "version": "1.1.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}