{
 "cells": [
  {
   "cell_type": "raw",
   "id": "35199c25",
   "metadata": {
    "tags": [
     "remove-cell"
    ]
   },
   "source": [
    "/// script\n",
    "requires-python = \">=3.12,<3.15\"\n",
    "dependencies = [\n",
    "  \"qpdk[models] @ git+https://github.com/gdsfactory/quantum-rf-pdk.git\",\n",
    "]\n",
    "///"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d55407d4",
   "metadata": {},
   "source": [
    "# CPW parametric amplifiers: layout and circuit models\n",
    "\n",
    "::::{admonition} Required extras\n",
    ":class: tip\n",
    "\n",
    "Needs `models` and the external\n",
    "[VACASK](https://codeberg.org/arpadbuermen/VACASK) simulator:\n",
    "`uv sync --extra models` (or `pip install \"qpdk[models]\"`). Install VACASK,\n",
    "put `vacask` on `PATH` or set `VACASK`; it compiles Verilog-A with the bundled\n",
    "`openvaf-r`, and Linux also needs `binutils`. See the\n",
    "{ref}`extras reference <notebook-extras>`.\n",
    "::::\n",
    "\n",
    "A flux-pumped JPA uses a SQUID to modulate the resonance of a distributed\n",
    "resonator at twice its frequency\n",
    "{cite:p}`yamamotoFluxdrivenJosephsonParametric2008`. To simulate that in a\n",
    "circuit solver, represent the linear part as a subcircuit and solve the\n",
    "pumped nonlinear part with harmonic balance\n",
    "{cite:p}`kundertSimulationNonlinearCircuits1986,maasNonlinearMicrowaveRF2003`.\n",
    "\n",
    "This notebook checks the models with released VACASK. It compares two\n",
    "line models against SAX. It then uses them to measure resonance against flux,\n",
    "the single-mode threshold, gain against pump amplitude, and the higher-mode\n",
    "conversion that breaks the simple signal-idler balance. The\n",
    "{doc}`TWPA notebook <josephsoncircuits_twpa>`\n",
    "covers traveling-wave amplification. The\n",
    "{doc}`lumped companion <vacask_lumped_parametric_amplifier>`\n",
    "runs lumped Kerr and SQUID examples.\n",
    "\n",
    "The analyses differ in what they assume. AC linearizes the circuit around its\n",
    "DC operating point. ACSP returns S-parameters with the pump off. HB finds the\n",
    "nonlinear periodic pump. HBAC finds infinitesimal signal and idler waves\n",
    "around that pump. The {ref}`vacask-analysis-guide` in the lumped companion\n",
    "compares them in detail."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d7da0825",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:38.790071Z",
     "iopub.status.busy": "2026-10-21T07:06:38.789972Z",
     "iopub.status.idle": "2026-10-21T07:06:38.793710Z",
     "shell.execute_reply": "2026-10-21T07:06:38.793071Z"
    },
    "tags": [
     "hide-input",
     "hide-output"
    ]
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "\n",
    "if \"google.colab\" in sys.modules:\n",
    "    import subprocess\n",
    "\n",
    "    print(\"Running in Google Colab. Installing dependencies...\")\n",
    "    subprocess.check_call([\n",
    "        sys.executable,\n",
    "        \"-m\",\n",
    "        \"pip\",\n",
    "        \"install\",\n",
    "        \"-q\",\n",
    "        \"qpdk[models] @ git+https://github.com/gdsfactory/quantum-rf-pdk.git\",\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "52455541",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:38.795156Z",
     "iopub.status.busy": "2026-10-21T07:06:38.795057Z",
     "iopub.status.idle": "2026-10-21T07:06:40.814281Z",
     "shell.execute_reply": "2026-10-21T07:06:40.813861Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import time\n",
    "from pathlib import Path\n",
    "\n",
    "import jax\n",
    "import jax.numpy as jnp\n",
    "from jax.typing import ArrayLike\n",
    "from matplotlib import font_manager, pyplot as plt\n",
    "from matplotlib.collections import PolyCollection\n",
    "from sax.models import rf\n",
    "\n",
    "import qpdk.colormaps  # ruff: ignore[unused-import] - registers the style colormap\n",
    "from qpdk import PDK, logger\n",
    "from qpdk.cells.resonator import resonator\n",
    "from qpdk.config import PATH\n",
    "from qpdk.models.constants import Φ_0\n",
    "from qpdk.models.cpw import get_cpw_dimensions, get_cpw_substrate_params\n",
    "from qpdk.models.junction import squid_junction\n",
    "from qpdk.simulation.vacask import (\n",
    "    Netlist,\n",
    "    Vacask,\n",
    "    VacaskError,\n",
    "    cpw_tline_params,\n",
    "    format_value,\n",
    "    vector_fit,\n",
    "    vector_fit_subckt,\n",
    ")\n",
    "\n",
    "# Agg suppresses notebook figure outputs in headless CI.\n",
    "if \"ipykernel\" in sys.modules:\n",
    "    from IPython import get_ipython\n",
    "    from matplotlib_inline.backend_inline import set_matplotlib_formats\n",
    "\n",
    "    if (ipython := get_ipython()) is not None:\n",
    "        ipython.run_line_magic(\"matplotlib\", \"inline\")\n",
    "        set_matplotlib_formats(\"png\", \"svg\")\n",
    "\n",
    "jax.config.update(\"jax_enable_x64\", True)\n",
    "PDK.activate()\n",
    "\n",
    "# The checkout stylesheet is absent from installed wheels.\n",
    "for _style in (PATH.docs / \"qpdk.mplstyle\", \"qpdk\"):\n",
    "    try:\n",
    "        plt.style.use(_style)\n",
    "    except OSError:\n",
    "        continue\n",
    "    break\n",
    "\n",
    "# The stylesheet names fonts that only the docs build ships; register them so\n",
    "# they resolve without docs/ipython_config.py.\n",
    "_font_dir = os.environ.get(\"QPDK_DOCS_FONTS_DIR\")\n",
    "for _fonts in (Path(_font_dir) if _font_dir else None, PATH.repo / \"build/docs-fonts\"):\n",
    "    if _fonts is not None and _fonts.is_dir():\n",
    "        for _font in sorted(_fonts.iterdir()):\n",
    "            if _font.suffix in {\".otf\", \".ttf\"}:\n",
    "                font_manager.fontManager.addfont(str(_font))\n",
    "        break"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a1bb7bb",
   "metadata": {},
   "source": [
    "## Finding VACASK\n",
    "\n",
    "{meth}`Vacask.find() <qpdk.simulation.vacask.Vacask.find>` checks the\n",
    "`VACASK`/`QPDK_VACASK` environment variables and `PATH`. The notebook stops\n",
    "if the binary is missing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6876fa98",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:40.815337Z",
     "iopub.status.busy": "2026-10-21T07:06:40.815170Z",
     "iopub.status.idle": "2026-10-21T07:06:40.817234Z",
     "shell.execute_reply": "2026-10-21T07:06:40.816928Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using VACASK at <runtime>\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    vacask = Vacask.find()\n",
    "except VacaskError as error:\n",
    "    print(error)\n",
    "    raise SystemExit(\n",
    "        \"VACASK is not installed; skipping the rest of this notebook.\"\n",
    "    ) from None\n",
    "print(f\"Using VACASK at {vacask.binary}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f62b7da",
   "metadata": {},
   "source": [
    "Every netlist uses `tolscale=1e-6 reltol=1e-6`. The default tolerances shift\n",
    "the gain by more than the differences resolved here. Port conventions:\n",
    "\n",
    "- A port is a Norton source $I_\\text{s}$ in parallel with $R=50\\,\\Omega$.\n",
    "  So $V_\\text{inc}=I_\\text{s}R/2$ and $\\Gamma=2V/(I_\\text{s}R)-1$\n",
    "  {cite:p}`m.pozarMicrowaveEngineering2012`.\n",
    "- VACASK reports a `sine` source of amplitude $A$ as $-\\text{j}A$, so the\n",
    "  incident HB phasor is $-\\text{j}I_\\text{s}R/2$.\n",
    "- `hbac` writes the response at $f_\\text{s}+k f_\\text{p}$ as `node;k`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e94b1509",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:40.817958Z",
     "iopub.status.busy": "2026-10-21T07:06:40.817918Z",
     "iopub.status.idle": "2026-10-21T07:06:40.819995Z",
     "shell.execute_reply": "2026-10-21T07:06:40.819753Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [],
   "source": [
    "R_PORT = 50.0\n",
    "I_SIG = 1e-9\n",
    "OPTIONS = \"options tolscale=1e-6 reltol=1e-6\"\n",
    "SMALL_SIGNAL = f\"mag=1e-9 spur={{[0]}} smag=[{I_SIG}]\"\n",
    "\n",
    "\n",
    "def db(x: ArrayLike) -> jax.Array:\n",
    "    r\"\"\"Power gain in dB of a wave amplitude ratio, :math:`20\\log_{10}|A|`. See :cite:p:`m.pozarMicrowaveEngineering2012`.\"\"\"\n",
    "    return 20 * jnp.log10(jnp.abs(x))\n",
    "\n",
    "\n",
    "def reflection(v: ArrayLike, source_current: float) -> jax.Array:\n",
    "    r\"\"\"Reflection coefficient of a Norton port from its node voltage.\n",
    "\n",
    "    Uses :math:`\\Gamma=2V/(I_\\text{s}R)-1`\n",
    "    :cite:p:`m.pozarMicrowaveEngineering2012`.\n",
    "\n",
    "    Returns:\n",
    "        Complex reflected wave amplitude divided by the incident amplitude.\n",
    "    \"\"\"\n",
    "    return 2 * jnp.asarray(v) / (source_current * R_PORT) - 1\n",
    "\n",
    "\n",
    "def conversion(v: ArrayLike, source_current: float) -> jax.Array:\n",
    "    r\"\"\"Conversion gain into a sideband other than the one driven.\n",
    "\n",
    "    The sideband amplitude is :math:`2V/(I_\\text{s}R)`, as in\n",
    "    frequency-conversion analysis :cite:p:`maasNonlinearMicrowaveRF2003`.\n",
    "\n",
    "    Returns:\n",
    "        Complex sideband wave amplitude divided by the incident amplitude.\n",
    "    \"\"\"\n",
    "    return 2 * jnp.asarray(v) / (source_current * R_PORT)\n",
    "\n",
    "\n",
    "def show_plot() -> None:\n",
    "    \"\"\"Show the current figure with Outfit titles, as the docs config does.\"\"\"\n",
    "    fig = plt.gcf()\n",
    "    for text in [ax.title for ax in fig.axes] + list(fig.texts):\n",
    "        if text.get_text():\n",
    "            text.set_fontfamily(\"Outfit\")\n",
    "            text.set_fontweight(\"bold\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1fb1c2d4",
   "metadata": {},
   "source": [
    "## SQUID-terminated quarter-wave resonator\n",
    "\n",
    "Following {cite:t}`yamamotoFluxdrivenJosephsonParametric2008`, a 4680 µm CPW\n",
    "($\\lambda/4$ at 6.5 GHz) is shorted through the SQUID. It is coupled to the\n",
    "port by $C_\\text{c}=20$ fF, using the PDK `cpw` cross-section. The pump\n",
    "modulates the SQUID flux at $f_\\text{p}\\approx2f_0$. A signal at\n",
    "$f_\\text{s}$ is amplified with an idler at $f_\\text{p}-f_\\text{s}$. This is\n",
    "three-wave mixing.\n",
    "\n",
    "The symmetric SQUID is one junction with\n",
    "$I_\\text{c,tot}\\cos(\\pi\\Phi/\\Phi_0)$. This neglects loop inductance, valid for\n",
    "$\\beta_L=2L_\\text{loop}I_\\text{c}/\\Phi_0\\ll1$\n",
    "{cite:p}`tescheDcSQUIDNoise1977`. Its flux terminal is driven in units of\n",
    "$\\Phi_0$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c05fce6c",
   "metadata": {},
   "source": [
    "(vacask-cpw-layout)=\n",
    "## Use the same geometry for layout and models\n",
    "\n",
    "Make a QPDK meander with the `cpw` cross-section. Read its realized centreline length after grid snapping. Use that length and cross-section for both the SAX line model and VACASK's line impedance and delay. Here the realized length is 4680 µm, the strip width is 10 µm and the gap is 6 µm.\n",
    "\n",
    "The two end ports connect to the ideal coupling capacitor and SQUID in the circuit. Those end devices are not drawn here. The line model uses a uniform cross-section approximation {cite:p}`simonsCoplanarWaveguideCircuits2001,ghioneAnalyticalFormulasCoplanar1984`. It does not include coupling between meanders, bend corrections or end-pad parasitics. For those effects, export this geometry to a field solver as in the {doc}`CPW field simulation notebook <comsol_cpw_resonator>`.\n",
    "\n",
    "The plot below comes from the layout polygons. Changing the cross-section or length changes both the geometry and the model inputs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "63f31f7a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:40.820735Z",
     "iopub.status.busy": "2026-10-21T07:06:40.820697Z",
     "iopub.status.idle": "2026-10-21T07:06:41.117361Z",
     "shell.execute_reply": "2026-10-21T07:06:41.116951Z"
    },
    "lines_to_next_cell": 2,
    "tags": [
     "hide-input",
     "cpw-layout"
    ]
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m2026-10-21 10:06:40.902\u001b[0m | \u001b[1mINFO    \u001b[0m | \u001b[36m__main__\u001b[0m:\u001b[36m<module>\u001b[0m:\u001b[36m14\u001b[0m - \u001b[1mLayout length 4680.0 µm, Z0 49.3128 Ω, delay 38.4457 ps\u001b[0m\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Failed to find font weight bold, now using 400.\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"551.189933pt\" height=\"353.175pt\" viewBox=\"0 0 551.189933 353.175\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2026-10-21T10:06:41.023181</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.11.1, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 353.175 \n",
       "L 551.189933 353.175 \n",
       "L 551.189933 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 61.20957 309.56582 \n",
       "L 248.143607 309.56582 \n",
       "L 248.143607 25.2 \n",
       "L 61.20957 25.2 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"PolyCollection_1\">\n",
       "    <path d=\"M 114.620491 49.224811 \n",
       "L 114.620491 48.021164 \n",
       "L 194.732685 48.021164 \n",
       "L 194.732685 49.224811 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 46.015084 \n",
       "L 114.620491 44.811436 \n",
       "L 194.732685 44.811436 \n",
       "L 194.732685 46.015084 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 194.732685 89.346407 \n",
       "L 194.732685 88.142759 \n",
       "L 196.202139 88.092005 \n",
       "L 197.66437 87.93834 \n",
       "L 199.112158 87.682966 \n",
       "L 200.538882 87.327288 \n",
       "L 201.93712 86.873111 \n",
       "L 203.300452 86.322242 \n",
       "L 204.621856 85.677688 \n",
       "L 205.895115 84.942661 \n",
       "L 207.114009 84.120368 \n",
       "L 208.272721 83.215225 \n",
       "L 209.365232 82.231444 \n",
       "L 210.386527 81.173838 \n",
       "L 211.331792 80.047425 \n",
       "L 212.19581 78.85802 \n",
       "L 212.974972 77.611241 \n",
       "L 213.665264 76.312907 \n",
       "L 214.263276 74.969836 \n",
       "L 214.766201 73.588249 \n",
       "L 215.171429 72.174966 \n",
       "L 215.477155 70.736807 \n",
       "L 215.681775 69.280795 \n",
       "L 215.784286 67.81415 \n",
       "L 215.784286 66.343693 \n",
       "L 215.681775 64.877048 \n",
       "L 215.477155 63.421036 \n",
       "L 215.171429 61.982877 \n",
       "L 214.766201 60.569594 \n",
       "L 214.263276 59.188007 \n",
       "L 213.665264 57.844936 \n",
       "L 212.974972 56.546601 \n",
       "L 212.19581 55.299823 \n",
       "L 211.331792 54.110418 \n",
       "L 210.386527 52.984004 \n",
       "L 209.365232 51.926399 \n",
       "L 208.272721 50.942618 \n",
       "L 207.114009 50.037474 \n",
       "L 205.895115 49.215182 \n",
       "L 204.621856 48.480155 \n",
       "L 203.300452 47.835601 \n",
       "L 201.93712 47.284732 \n",
       "L 200.538882 46.830555 \n",
       "L 199.112158 46.474877 \n",
       "L 197.66437 46.219503 \n",
       "L 196.202139 46.065838 \n",
       "L 194.732685 46.015084 \n",
       "L 194.732685 44.811436 \n",
       "L 196.285993 44.864396 \n",
       "L 197.831878 45.026889 \n",
       "L 199.362718 45.296707 \n",
       "L 200.870888 45.672847 \n",
       "L 202.349169 46.153102 \n",
       "L 203.790136 46.735266 \n",
       "L 205.18717 47.416732 \n",
       "L 206.53345 48.193887 \n",
       "L 207.821955 49.063121 \n",
       "L 209.046867 50.020021 \n",
       "L 210.201968 51.059973 \n",
       "L 211.28164 52.178162 \n",
       "L 212.280668 53.36877 \n",
       "L 213.194437 54.626382 \n",
       "L 214.018133 55.944577 \n",
       "L 214.747745 57.316936 \n",
       "L 215.380061 58.736839 \n",
       "L 215.911672 60.197466 \n",
       "L 216.33997 61.691594 \n",
       "L 216.66315 63.212002 \n",
       "L 216.879606 64.751267 \n",
       "L 216.987934 66.301766 \n",
       "L 216.987934 67.856077 \n",
       "L 216.879606 69.406576 \n",
       "L 216.66315 70.945841 \n",
       "L 216.33997 72.466249 \n",
       "L 215.911672 73.960377 \n",
       "L 215.380061 75.421004 \n",
       "L 214.747745 76.840907 \n",
       "L 214.018133 78.213266 \n",
       "L 213.194437 79.531461 \n",
       "L 212.280668 80.789072 \n",
       "L 211.28164 81.979681 \n",
       "L 210.201968 83.09787 \n",
       "L 209.046867 84.137821 \n",
       "L 207.821955 85.094721 \n",
       "L 206.53345 85.963956 \n",
       "L 205.18717 86.741111 \n",
       "L 203.790136 87.422576 \n",
       "L 202.349169 88.004741 \n",
       "L 200.870888 88.484996 \n",
       "L 199.362718 88.861136 \n",
       "L 197.831878 89.130954 \n",
       "L 196.285993 89.293446 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 194.732685 86.136679 \n",
       "L 194.732685 84.933031 \n",
       "L 195.97806 84.888296 \n",
       "L 197.217215 84.757901 \n",
       "L 198.444535 84.541645 \n",
       "L 199.653599 84.240131 \n",
       "L 200.83859 83.854964 \n",
       "L 201.994092 83.388149 \n",
       "L 203.114087 82.841894 \n",
       "L 204.193157 82.219006 \n",
       "L 205.226288 81.522094 \n",
       "L 206.208264 80.754969 \n",
       "L 207.134271 79.921042 \n",
       "L 207.999894 79.024725 \n",
       "L 208.800922 78.070232 \n",
       "L 209.533341 77.061977 \n",
       "L 210.193542 76.005375 \n",
       "L 210.778716 74.90504 \n",
       "L 211.285451 73.76659 \n",
       "L 211.711743 72.595641 \n",
       "L 212.055184 71.397811 \n",
       "L 212.314169 70.179117 \n",
       "L 212.487695 68.944977 \n",
       "L 212.574558 67.70201 \n",
       "L 212.574558 66.455833 \n",
       "L 212.487695 65.212866 \n",
       "L 212.314169 63.978726 \n",
       "L 212.055184 62.760032 \n",
       "L 211.711743 61.562202 \n",
       "L 211.285451 60.391253 \n",
       "L 210.778716 59.252803 \n",
       "L 210.193542 58.152468 \n",
       "L 209.533341 57.095866 \n",
       "L 208.800922 56.08761 \n",
       "L 207.999894 55.133118 \n",
       "L 207.134271 54.236801 \n",
       "L 206.208264 53.402874 \n",
       "L 205.226288 52.635749 \n",
       "L 204.193157 51.938837 \n",
       "L 203.114087 51.315949 \n",
       "L 201.994092 50.769693 \n",
       "L 200.83859 50.302879 \n",
       "L 199.653599 49.917711 \n",
       "L 198.444535 49.616198 \n",
       "L 197.217215 49.399942 \n",
       "L 195.97806 49.269547 \n",
       "L 194.732685 49.224811 \n",
       "L 194.732685 48.021164 \n",
       "L 196.062115 48.068106 \n",
       "L 197.384924 48.207328 \n",
       "L 198.694894 48.438228 \n",
       "L 199.985605 48.760003 \n",
       "L 201.250639 49.171048 \n",
       "L 202.483977 49.669359 \n",
       "L 203.6794 50.252526 \n",
       "L 204.831492 50.917542 \n",
       "L 205.934234 51.661396 \n",
       "L 206.98241 52.480278 \n",
       "L 207.970806 53.370375 \n",
       "L 208.894806 54.327275 \n",
       "L 209.749998 55.346163 \n",
       "L 210.531767 56.422224 \n",
       "L 211.236704 57.550444 \n",
       "L 211.861196 58.724803 \n",
       "L 212.402236 59.940086 \n",
       "L 212.857014 61.189874 \n",
       "L 213.223726 62.468549 \n",
       "L 213.500364 63.769692 \n",
       "L 213.685525 65.086884 \n",
       "L 213.778206 66.413906 \n",
       "L 213.778206 67.743937 \n",
       "L 213.685525 69.070959 \n",
       "L 213.500364 70.388151 \n",
       "L 213.223726 71.689294 \n",
       "L 212.857014 72.967969 \n",
       "L 212.402236 74.217757 \n",
       "L 211.861196 75.43304 \n",
       "L 211.236704 76.607399 \n",
       "L 210.531767 77.735618 \n",
       "L 209.749998 78.81168 \n",
       "L 208.894806 79.830567 \n",
       "L 207.970806 80.787468 \n",
       "L 206.98241 81.677565 \n",
       "L 205.934234 82.496447 \n",
       "L 204.831492 83.240301 \n",
       "L 203.6794 83.905317 \n",
       "L 202.483977 84.488484 \n",
       "L 201.250639 84.986794 \n",
       "L 199.985605 85.39784 \n",
       "L 198.694894 85.719615 \n",
       "L 197.384924 85.950515 \n",
       "L 196.062115 86.089737 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 86.136679 \n",
       "L 114.620491 84.933031 \n",
       "L 194.732685 84.933031 \n",
       "L 194.732685 86.136679 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 89.346407 \n",
       "L 114.620491 88.142759 \n",
       "L 194.732685 88.142759 \n",
       "L 194.732685 89.346407 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 129.468002 \n",
       "L 113.067184 129.415042 \n",
       "L 111.521299 129.252549 \n",
       "L 109.990459 128.982732 \n",
       "L 108.482289 128.606592 \n",
       "L 107.004008 128.126336 \n",
       "L 105.563041 127.544172 \n",
       "L 104.166007 126.862707 \n",
       "L 102.819727 126.085551 \n",
       "L 101.531222 125.216317 \n",
       "L 100.30631 124.259417 \n",
       "L 99.151209 123.219465 \n",
       "L 98.071537 122.101276 \n",
       "L 97.072509 120.910668 \n",
       "L 96.15874 119.653056 \n",
       "L 95.335044 118.334861 \n",
       "L 94.605432 116.962502 \n",
       "L 93.973116 115.542599 \n",
       "L 93.441505 114.081972 \n",
       "L 93.013207 112.587844 \n",
       "L 92.690027 111.067436 \n",
       "L 92.473571 109.528171 \n",
       "L 92.365243 107.977672 \n",
       "L 92.365243 106.423362 \n",
       "L 92.473571 104.872863 \n",
       "L 92.690027 103.333598 \n",
       "L 93.013207 101.81319 \n",
       "L 93.441505 100.319061 \n",
       "L 93.973116 98.858435 \n",
       "L 94.605432 97.438531 \n",
       "L 95.335044 96.066172 \n",
       "L 96.15874 94.747977 \n",
       "L 97.072509 93.490366 \n",
       "L 98.071537 92.299758 \n",
       "L 99.151209 91.181569 \n",
       "L 100.30631 90.141617 \n",
       "L 101.531222 89.184717 \n",
       "L 102.819727 88.315482 \n",
       "L 104.166007 87.538327 \n",
       "L 105.563041 86.856862 \n",
       "L 107.004008 86.274698 \n",
       "L 108.482289 85.794442 \n",
       "L 109.990459 85.418302 \n",
       "L 111.521299 85.148484 \n",
       "L 113.067184 84.985992 \n",
       "L 114.620491 84.933031 \n",
       "L 114.620491 86.136679 \n",
       "L 113.151038 86.187433 \n",
       "L 111.688806 86.341099 \n",
       "L 110.241019 86.596473 \n",
       "L 108.814295 86.952151 \n",
       "L 107.416057 87.406327 \n",
       "L 106.052725 87.957197 \n",
       "L 104.731321 88.60175 \n",
       "L 103.458062 89.336778 \n",
       "L 102.239168 90.15907 \n",
       "L 101.080456 91.064213 \n",
       "L 99.987945 92.047995 \n",
       "L 98.96665 93.1056 \n",
       "L 98.021385 94.232014 \n",
       "L 97.157366 95.421418 \n",
       "L 96.378205 96.668197 \n",
       "L 95.687913 97.966532 \n",
       "L 95.089901 99.309602 \n",
       "L 94.586976 100.691189 \n",
       "L 94.181748 102.104472 \n",
       "L 93.876022 103.542631 \n",
       "L 93.671402 104.998644 \n",
       "L 93.568891 106.465289 \n",
       "L 93.568891 107.935745 \n",
       "L 93.671402 109.40239 \n",
       "L 93.876022 110.858403 \n",
       "L 94.181748 112.296561 \n",
       "L 94.586976 113.709845 \n",
       "L 95.089901 115.091432 \n",
       "L 95.687913 116.434502 \n",
       "L 96.378205 117.732837 \n",
       "L 97.157366 118.979616 \n",
       "L 98.021385 120.16902 \n",
       "L 98.96665 121.295434 \n",
       "L 99.987945 122.353039 \n",
       "L 101.080456 123.336821 \n",
       "L 102.239168 124.241964 \n",
       "L 103.458062 125.064256 \n",
       "L 104.731321 125.799284 \n",
       "L 106.052725 126.443837 \n",
       "L 107.416057 126.994707 \n",
       "L 108.814295 127.448883 \n",
       "L 110.241019 127.804561 \n",
       "L 111.688806 128.059935 \n",
       "L 113.151038 128.213601 \n",
       "L 114.620491 128.264355 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 126.258275 \n",
       "L 113.291062 126.211332 \n",
       "L 111.968253 126.072111 \n",
       "L 110.658283 125.841211 \n",
       "L 109.367572 125.519436 \n",
       "L 108.102538 125.10839 \n",
       "L 106.8692 124.61008 \n",
       "L 105.673777 124.026912 \n",
       "L 104.521685 123.361897 \n",
       "L 103.418943 122.618042 \n",
       "L 102.370767 121.799161 \n",
       "L 101.382371 120.909063 \n",
       "L 100.458371 119.952163 \n",
       "L 99.603179 118.933275 \n",
       "L 98.82141 117.857214 \n",
       "L 98.116473 116.728995 \n",
       "L 97.49198 115.554636 \n",
       "L 96.950941 114.339352 \n",
       "L 96.496162 113.089565 \n",
       "L 96.129451 111.810889 \n",
       "L 95.852813 110.509746 \n",
       "L 95.667652 109.192554 \n",
       "L 95.574971 107.865532 \n",
       "L 95.574971 106.535501 \n",
       "L 95.667652 105.20848 \n",
       "L 95.852813 103.891288 \n",
       "L 96.129451 102.590144 \n",
       "L 96.496162 101.311469 \n",
       "L 96.950941 100.061681 \n",
       "L 97.49198 98.846398 \n",
       "L 98.116473 97.672039 \n",
       "L 98.82141 96.54382 \n",
       "L 99.603179 95.467759 \n",
       "L 100.458371 94.448871 \n",
       "L 101.382371 93.491971 \n",
       "L 102.370767 92.601873 \n",
       "L 103.418943 91.782991 \n",
       "L 104.521685 91.039137 \n",
       "L 105.673777 90.374122 \n",
       "L 106.8692 89.790954 \n",
       "L 108.102538 89.292644 \n",
       "L 109.367572 88.881598 \n",
       "L 110.658283 88.559823 \n",
       "L 111.968253 88.328923 \n",
       "L 113.291062 88.189701 \n",
       "L 114.620491 88.142759 \n",
       "L 114.620491 89.346407 \n",
       "L 113.375117 89.391142 \n",
       "L 112.135962 89.521538 \n",
       "L 110.908642 89.737793 \n",
       "L 109.699578 90.039307 \n",
       "L 108.514586 90.424474 \n",
       "L 107.359084 90.891289 \n",
       "L 106.23909 91.437544 \n",
       "L 105.16002 92.060432 \n",
       "L 104.126889 92.757344 \n",
       "L 103.144913 93.524469 \n",
       "L 102.218906 94.358397 \n",
       "L 101.353283 95.254713 \n",
       "L 100.552255 96.209206 \n",
       "L 99.819835 97.217462 \n",
       "L 99.159635 98.274064 \n",
       "L 98.574461 99.374398 \n",
       "L 98.067725 100.512849 \n",
       "L 97.641433 101.683798 \n",
       "L 97.297993 102.881628 \n",
       "L 97.039008 104.100321 \n",
       "L 96.865482 105.334461 \n",
       "L 96.778619 106.577429 \n",
       "L 96.778619 107.823605 \n",
       "L 96.865482 109.066572 \n",
       "L 97.039008 110.300713 \n",
       "L 97.297993 111.519406 \n",
       "L 97.641433 112.717236 \n",
       "L 98.067725 113.888185 \n",
       "L 98.574461 115.026635 \n",
       "L 99.159635 116.12697 \n",
       "L 99.819835 117.183572 \n",
       "L 100.552255 118.191828 \n",
       "L 101.353283 119.146321 \n",
       "L 102.218906 120.042637 \n",
       "L 103.144913 120.876565 \n",
       "L 104.126889 121.643689 \n",
       "L 105.16002 122.340602 \n",
       "L 106.23909 122.963489 \n",
       "L 107.359084 123.509745 \n",
       "L 108.514586 123.97656 \n",
       "L 109.699578 124.361727 \n",
       "L 110.908642 124.663241 \n",
       "L 112.135962 124.879496 \n",
       "L 113.375117 125.009891 \n",
       "L 114.620491 125.054627 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 129.468002 \n",
       "L 114.620491 128.264355 \n",
       "L 194.732685 128.264355 \n",
       "L 194.732685 129.468002 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 126.258275 \n",
       "L 114.620491 125.054627 \n",
       "L 194.732685 125.054627 \n",
       "L 194.732685 126.258275 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 194.732685 169.589598 \n",
       "L 194.732685 168.38595 \n",
       "L 196.202139 168.335196 \n",
       "L 197.66437 168.181531 \n",
       "L 199.112158 167.926157 \n",
       "L 200.538882 167.570479 \n",
       "L 201.93712 167.116302 \n",
       "L 203.300452 166.565433 \n",
       "L 204.621856 165.920879 \n",
       "L 205.895115 165.185852 \n",
       "L 207.114009 164.363559 \n",
       "L 208.272721 163.458416 \n",
       "L 209.365232 162.474635 \n",
       "L 210.386527 161.41703 \n",
       "L 211.331792 160.290616 \n",
       "L 212.19581 159.101211 \n",
       "L 212.974972 157.854432 \n",
       "L 213.665264 156.556098 \n",
       "L 214.263276 155.213027 \n",
       "L 214.766201 153.83144 \n",
       "L 215.171429 152.418157 \n",
       "L 215.477155 150.979998 \n",
       "L 215.681775 149.523986 \n",
       "L 215.784286 148.057341 \n",
       "L 215.784286 146.586884 \n",
       "L 215.681775 145.120239 \n",
       "L 215.477155 143.664227 \n",
       "L 215.171429 142.226068 \n",
       "L 214.766201 140.812785 \n",
       "L 214.263276 139.431198 \n",
       "L 213.665264 138.088127 \n",
       "L 212.974972 136.789792 \n",
       "L 212.19581 135.543014 \n",
       "L 211.331792 134.353609 \n",
       "L 210.386527 133.227195 \n",
       "L 209.365232 132.16959 \n",
       "L 208.272721 131.185809 \n",
       "L 207.114009 130.280665 \n",
       "L 205.895115 129.458373 \n",
       "L 204.621856 128.723346 \n",
       "L 203.300452 128.078792 \n",
       "L 201.93712 127.527923 \n",
       "L 200.538882 127.073746 \n",
       "L 199.112158 126.718068 \n",
       "L 197.66437 126.462694 \n",
       "L 196.202139 126.309029 \n",
       "L 194.732685 126.258275 \n",
       "L 194.732685 125.054627 \n",
       "L 196.285993 125.107587 \n",
       "L 197.831878 125.27008 \n",
       "L 199.362718 125.539898 \n",
       "L 200.870888 125.916038 \n",
       "L 202.349169 126.396293 \n",
       "L 203.790136 126.978457 \n",
       "L 205.18717 127.659923 \n",
       "L 206.53345 128.437078 \n",
       "L 207.821955 129.306312 \n",
       "L 209.046867 130.263212 \n",
       "L 210.201968 131.303164 \n",
       "L 211.28164 132.421353 \n",
       "L 212.280668 133.611961 \n",
       "L 213.194437 134.869573 \n",
       "L 214.018133 136.187768 \n",
       "L 214.747745 137.560127 \n",
       "L 215.380061 138.98003 \n",
       "L 215.911672 140.440657 \n",
       "L 216.33997 141.934785 \n",
       "L 216.66315 143.455193 \n",
       "L 216.879606 144.994458 \n",
       "L 216.987934 146.544957 \n",
       "L 216.987934 148.099268 \n",
       "L 216.879606 149.649767 \n",
       "L 216.66315 151.189032 \n",
       "L 216.33997 152.70944 \n",
       "L 215.911672 154.203568 \n",
       "L 215.380061 155.664195 \n",
       "L 214.747745 157.084098 \n",
       "L 214.018133 158.456457 \n",
       "L 213.194437 159.774652 \n",
       "L 212.280668 161.032263 \n",
       "L 211.28164 162.222872 \n",
       "L 210.201968 163.341061 \n",
       "L 209.046867 164.381012 \n",
       "L 207.821955 165.337912 \n",
       "L 206.53345 166.207147 \n",
       "L 205.18717 166.984302 \n",
       "L 203.790136 167.665767 \n",
       "L 202.349169 168.247932 \n",
       "L 200.870888 168.728187 \n",
       "L 199.362718 169.104327 \n",
       "L 197.831878 169.374145 \n",
       "L 196.285993 169.536637 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 194.732685 166.37987 \n",
       "L 194.732685 165.176222 \n",
       "L 195.97806 165.131487 \n",
       "L 197.217215 165.001092 \n",
       "L 198.444535 164.784836 \n",
       "L 199.653599 164.483322 \n",
       "L 200.83859 164.098155 \n",
       "L 201.994092 163.63134 \n",
       "L 203.114087 163.085085 \n",
       "L 204.193157 162.462197 \n",
       "L 205.226288 161.765285 \n",
       "L 206.208264 160.99816 \n",
       "L 207.134271 160.164233 \n",
       "L 207.999894 159.267916 \n",
       "L 208.800922 158.313423 \n",
       "L 209.533341 157.305168 \n",
       "L 210.193542 156.248566 \n",
       "L 210.778716 155.148231 \n",
       "L 211.285451 154.009781 \n",
       "L 211.711743 152.838832 \n",
       "L 212.055184 151.641002 \n",
       "L 212.314169 150.422308 \n",
       "L 212.487695 149.188168 \n",
       "L 212.574558 147.945201 \n",
       "L 212.574558 146.699024 \n",
       "L 212.487695 145.456057 \n",
       "L 212.314169 144.221917 \n",
       "L 212.055184 143.003223 \n",
       "L 211.711743 141.805393 \n",
       "L 211.285451 140.634444 \n",
       "L 210.778716 139.495994 \n",
       "L 210.193542 138.395659 \n",
       "L 209.533341 137.339057 \n",
       "L 208.800922 136.330801 \n",
       "L 207.999894 135.376309 \n",
       "L 207.134271 134.479992 \n",
       "L 206.208264 133.646065 \n",
       "L 205.226288 132.87894 \n",
       "L 204.193157 132.182028 \n",
       "L 203.114087 131.55914 \n",
       "L 201.994092 131.012884 \n",
       "L 200.83859 130.54607 \n",
       "L 199.653599 130.160902 \n",
       "L 198.444535 129.859389 \n",
       "L 197.217215 129.643133 \n",
       "L 195.97806 129.512738 \n",
       "L 194.732685 129.468002 \n",
       "L 194.732685 128.264355 \n",
       "L 196.062115 128.311297 \n",
       "L 197.384924 128.450519 \n",
       "L 198.694894 128.681419 \n",
       "L 199.985605 129.003194 \n",
       "L 201.250639 129.414239 \n",
       "L 202.483977 129.91255 \n",
       "L 203.6794 130.495717 \n",
       "L 204.831492 131.160733 \n",
       "L 205.934234 131.904587 \n",
       "L 206.98241 132.723469 \n",
       "L 207.970806 133.613566 \n",
       "L 208.894806 134.570466 \n",
       "L 209.749998 135.589354 \n",
       "L 210.531767 136.665415 \n",
       "L 211.236704 137.793635 \n",
       "L 211.861196 138.967994 \n",
       "L 212.402236 140.183277 \n",
       "L 212.857014 141.433065 \n",
       "L 213.223726 142.71174 \n",
       "L 213.500364 144.012883 \n",
       "L 213.685525 145.330075 \n",
       "L 213.778206 146.657097 \n",
       "L 213.778206 147.987128 \n",
       "L 213.685525 149.31415 \n",
       "L 213.500364 150.631342 \n",
       "L 213.223726 151.932485 \n",
       "L 212.857014 153.21116 \n",
       "L 212.402236 154.460948 \n",
       "L 211.861196 155.676231 \n",
       "L 211.236704 156.85059 \n",
       "L 210.531767 157.978809 \n",
       "L 209.749998 159.054871 \n",
       "L 208.894806 160.073758 \n",
       "L 207.970806 161.030659 \n",
       "L 206.98241 161.920756 \n",
       "L 205.934234 162.739638 \n",
       "L 204.831492 163.483492 \n",
       "L 203.6794 164.148508 \n",
       "L 202.483977 164.731675 \n",
       "L 201.250639 165.229985 \n",
       "L 199.985605 165.641031 \n",
       "L 198.694894 165.962806 \n",
       "L 197.384924 166.193706 \n",
       "L 196.062115 166.332928 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 166.37987 \n",
       "L 114.620491 165.176222 \n",
       "L 194.732685 165.176222 \n",
       "L 194.732685 166.37987 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 169.589598 \n",
       "L 114.620491 168.38595 \n",
       "L 194.732685 168.38595 \n",
       "L 194.732685 169.589598 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 209.711193 \n",
       "L 113.067184 209.658233 \n",
       "L 111.521299 209.49574 \n",
       "L 109.990459 209.225923 \n",
       "L 108.482289 208.849783 \n",
       "L 107.004008 208.369527 \n",
       "L 105.563041 207.787363 \n",
       "L 104.166007 207.105898 \n",
       "L 102.819727 206.328742 \n",
       "L 101.531222 205.459508 \n",
       "L 100.30631 204.502608 \n",
       "L 99.151209 203.462656 \n",
       "L 98.071537 202.344467 \n",
       "L 97.072509 201.153859 \n",
       "L 96.15874 199.896248 \n",
       "L 95.335044 198.578052 \n",
       "L 94.605432 197.205693 \n",
       "L 93.973116 195.78579 \n",
       "L 93.441505 194.325163 \n",
       "L 93.013207 192.831035 \n",
       "L 92.690027 191.310627 \n",
       "L 92.473571 189.771362 \n",
       "L 92.365243 188.220863 \n",
       "L 92.365243 186.666553 \n",
       "L 92.473571 185.116054 \n",
       "L 92.690027 183.576789 \n",
       "L 93.013207 182.056381 \n",
       "L 93.441505 180.562252 \n",
       "L 93.973116 179.101626 \n",
       "L 94.605432 177.681723 \n",
       "L 95.335044 176.309363 \n",
       "L 96.15874 174.991168 \n",
       "L 97.072509 173.733557 \n",
       "L 98.071537 172.542949 \n",
       "L 99.151209 171.42476 \n",
       "L 100.30631 170.384808 \n",
       "L 101.531222 169.427908 \n",
       "L 102.819727 168.558674 \n",
       "L 104.166007 167.781518 \n",
       "L 105.563041 167.100053 \n",
       "L 107.004008 166.517889 \n",
       "L 108.482289 166.037633 \n",
       "L 109.990459 165.661493 \n",
       "L 111.521299 165.391675 \n",
       "L 113.067184 165.229183 \n",
       "L 114.620491 165.176222 \n",
       "L 114.620491 166.37987 \n",
       "L 113.151038 166.430624 \n",
       "L 111.688806 166.58429 \n",
       "L 110.241019 166.839664 \n",
       "L 108.814295 167.195342 \n",
       "L 107.416057 167.649518 \n",
       "L 106.052725 168.200388 \n",
       "L 104.731321 168.844941 \n",
       "L 103.458062 169.579969 \n",
       "L 102.239168 170.402261 \n",
       "L 101.080456 171.307404 \n",
       "L 99.987945 172.291186 \n",
       "L 98.96665 173.348791 \n",
       "L 98.021385 174.475205 \n",
       "L 97.157366 175.664609 \n",
       "L 96.378205 176.911388 \n",
       "L 95.687913 178.209723 \n",
       "L 95.089901 179.552793 \n",
       "L 94.586976 180.93438 \n",
       "L 94.181748 182.347663 \n",
       "L 93.876022 183.785822 \n",
       "L 93.671402 185.241835 \n",
       "L 93.568891 186.70848 \n",
       "L 93.568891 188.178936 \n",
       "L 93.671402 189.645581 \n",
       "L 93.876022 191.101594 \n",
       "L 94.181748 192.539752 \n",
       "L 94.586976 193.953036 \n",
       "L 95.089901 195.334623 \n",
       "L 95.687913 196.677693 \n",
       "L 96.378205 197.976028 \n",
       "L 97.157366 199.222807 \n",
       "L 98.021385 200.412211 \n",
       "L 98.96665 201.538625 \n",
       "L 99.987945 202.59623 \n",
       "L 101.080456 203.580012 \n",
       "L 102.239168 204.485155 \n",
       "L 103.458062 205.307447 \n",
       "L 104.731321 206.042475 \n",
       "L 106.052725 206.687028 \n",
       "L 107.416057 207.237898 \n",
       "L 108.814295 207.692074 \n",
       "L 110.241019 208.047752 \n",
       "L 111.688806 208.303126 \n",
       "L 113.151038 208.456792 \n",
       "L 114.620491 208.507546 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 206.501466 \n",
       "L 113.291062 206.454524 \n",
       "L 111.968253 206.315302 \n",
       "L 110.658283 206.084402 \n",
       "L 109.367572 205.762627 \n",
       "L 108.102538 205.351581 \n",
       "L 106.8692 204.853271 \n",
       "L 105.673777 204.270103 \n",
       "L 104.521685 203.605088 \n",
       "L 103.418943 202.861233 \n",
       "L 102.370767 202.042352 \n",
       "L 101.382371 201.152254 \n",
       "L 100.458371 200.195354 \n",
       "L 99.603179 199.176466 \n",
       "L 98.82141 198.100405 \n",
       "L 98.116473 196.972186 \n",
       "L 97.49198 195.797827 \n",
       "L 96.950941 194.582543 \n",
       "L 96.496162 193.332756 \n",
       "L 96.129451 192.05408 \n",
       "L 95.852813 190.752937 \n",
       "L 95.667652 189.435745 \n",
       "L 95.574971 188.108723 \n",
       "L 95.574971 186.778692 \n",
       "L 95.667652 185.451671 \n",
       "L 95.852813 184.134479 \n",
       "L 96.129451 182.833335 \n",
       "L 96.496162 181.55466 \n",
       "L 96.950941 180.304872 \n",
       "L 97.49198 179.089589 \n",
       "L 98.116473 177.91523 \n",
       "L 98.82141 176.787011 \n",
       "L 99.603179 175.71095 \n",
       "L 100.458371 174.692062 \n",
       "L 101.382371 173.735162 \n",
       "L 102.370767 172.845064 \n",
       "L 103.418943 172.026182 \n",
       "L 104.521685 171.282328 \n",
       "L 105.673777 170.617313 \n",
       "L 106.8692 170.034145 \n",
       "L 108.102538 169.535835 \n",
       "L 109.367572 169.124789 \n",
       "L 110.658283 168.803014 \n",
       "L 111.968253 168.572114 \n",
       "L 113.291062 168.432892 \n",
       "L 114.620491 168.38595 \n",
       "L 114.620491 169.589598 \n",
       "L 113.375117 169.634333 \n",
       "L 112.135962 169.764729 \n",
       "L 110.908642 169.980984 \n",
       "L 109.699578 170.282498 \n",
       "L 108.514586 170.667665 \n",
       "L 107.359084 171.13448 \n",
       "L 106.23909 171.680735 \n",
       "L 105.16002 172.303623 \n",
       "L 104.126889 173.000535 \n",
       "L 103.144913 173.76766 \n",
       "L 102.218906 174.601588 \n",
       "L 101.353283 175.497904 \n",
       "L 100.552255 176.452397 \n",
       "L 99.819835 177.460653 \n",
       "L 99.159635 178.517255 \n",
       "L 98.574461 179.617589 \n",
       "L 98.067725 180.75604 \n",
       "L 97.641433 181.926989 \n",
       "L 97.297993 183.124819 \n",
       "L 97.039008 184.343512 \n",
       "L 96.865482 185.577653 \n",
       "L 96.778619 186.82062 \n",
       "L 96.778619 188.066796 \n",
       "L 96.865482 189.309763 \n",
       "L 97.039008 190.543904 \n",
       "L 97.297993 191.762597 \n",
       "L 97.641433 192.960427 \n",
       "L 98.067725 194.131376 \n",
       "L 98.574461 195.269826 \n",
       "L 99.159635 196.370161 \n",
       "L 99.819835 197.426763 \n",
       "L 100.552255 198.435019 \n",
       "L 101.353283 199.389512 \n",
       "L 102.218906 200.285828 \n",
       "L 103.144913 201.119756 \n",
       "L 104.126889 201.88688 \n",
       "L 105.16002 202.583793 \n",
       "L 106.23909 203.20668 \n",
       "L 107.359084 203.752936 \n",
       "L 108.514586 204.219751 \n",
       "L 109.699578 204.604918 \n",
       "L 110.908642 204.906432 \n",
       "L 112.135962 205.122687 \n",
       "L 113.375117 205.253082 \n",
       "L 114.620491 205.297818 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 209.711193 \n",
       "L 114.620491 208.507546 \n",
       "L 194.732685 208.507546 \n",
       "L 194.732685 209.711193 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 206.501466 \n",
       "L 114.620491 205.297818 \n",
       "L 194.732685 205.297818 \n",
       "L 194.732685 206.501466 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 194.732685 249.832789 \n",
       "L 194.732685 248.629141 \n",
       "L 196.202139 248.578387 \n",
       "L 197.66437 248.424722 \n",
       "L 199.112158 248.169348 \n",
       "L 200.538882 247.81367 \n",
       "L 201.93712 247.359493 \n",
       "L 203.300452 246.808624 \n",
       "L 204.621856 246.16407 \n",
       "L 205.895115 245.429043 \n",
       "L 207.114009 244.60675 \n",
       "L 208.272721 243.701607 \n",
       "L 209.365232 242.717826 \n",
       "L 210.386527 241.660221 \n",
       "L 211.331792 240.533807 \n",
       "L 212.19581 239.344402 \n",
       "L 212.974972 238.097623 \n",
       "L 213.665264 236.799289 \n",
       "L 214.263276 235.456218 \n",
       "L 214.766201 234.074631 \n",
       "L 215.171429 232.661348 \n",
       "L 215.477155 231.223189 \n",
       "L 215.681775 229.767177 \n",
       "L 215.784286 228.300532 \n",
       "L 215.784286 226.830075 \n",
       "L 215.681775 225.36343 \n",
       "L 215.477155 223.907418 \n",
       "L 215.171429 222.469259 \n",
       "L 214.766201 221.055976 \n",
       "L 214.263276 219.674389 \n",
       "L 213.665264 218.331318 \n",
       "L 212.974972 217.032983 \n",
       "L 212.19581 215.786205 \n",
       "L 211.331792 214.5968 \n",
       "L 210.386527 213.470386 \n",
       "L 209.365232 212.412781 \n",
       "L 208.272721 211.429 \n",
       "L 207.114009 210.523856 \n",
       "L 205.895115 209.701564 \n",
       "L 204.621856 208.966537 \n",
       "L 203.300452 208.321983 \n",
       "L 201.93712 207.771114 \n",
       "L 200.538882 207.316937 \n",
       "L 199.112158 206.961259 \n",
       "L 197.66437 206.705885 \n",
       "L 196.202139 206.55222 \n",
       "L 194.732685 206.501466 \n",
       "L 194.732685 205.297818 \n",
       "L 196.285993 205.350778 \n",
       "L 197.831878 205.513271 \n",
       "L 199.362718 205.783089 \n",
       "L 200.870888 206.159229 \n",
       "L 202.349169 206.639484 \n",
       "L 203.790136 207.221648 \n",
       "L 205.18717 207.903114 \n",
       "L 206.53345 208.680269 \n",
       "L 207.821955 209.549503 \n",
       "L 209.046867 210.506403 \n",
       "L 210.201968 211.546355 \n",
       "L 211.28164 212.664544 \n",
       "L 212.280668 213.855152 \n",
       "L 213.194437 215.112764 \n",
       "L 214.018133 216.430959 \n",
       "L 214.747745 217.803318 \n",
       "L 215.380061 219.223221 \n",
       "L 215.911672 220.683848 \n",
       "L 216.33997 222.177976 \n",
       "L 216.66315 223.698384 \n",
       "L 216.879606 225.237649 \n",
       "L 216.987934 226.788148 \n",
       "L 216.987934 228.342459 \n",
       "L 216.879606 229.892958 \n",
       "L 216.66315 231.432223 \n",
       "L 216.33997 232.952631 \n",
       "L 215.911672 234.446759 \n",
       "L 215.380061 235.907386 \n",
       "L 214.747745 237.327289 \n",
       "L 214.018133 238.699648 \n",
       "L 213.194437 240.017843 \n",
       "L 212.280668 241.275454 \n",
       "L 211.28164 242.466063 \n",
       "L 210.201968 243.584252 \n",
       "L 209.046867 244.624203 \n",
       "L 207.821955 245.581103 \n",
       "L 206.53345 246.450338 \n",
       "L 205.18717 247.227493 \n",
       "L 203.790136 247.908958 \n",
       "L 202.349169 248.491123 \n",
       "L 200.870888 248.971378 \n",
       "L 199.362718 249.347518 \n",
       "L 197.831878 249.617336 \n",
       "L 196.285993 249.779828 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 194.732685 246.623061 \n",
       "L 194.732685 245.419413 \n",
       "L 195.97806 245.374678 \n",
       "L 197.217215 245.244283 \n",
       "L 198.444535 245.028027 \n",
       "L 199.653599 244.726513 \n",
       "L 200.83859 244.341346 \n",
       "L 201.994092 243.874531 \n",
       "L 203.114087 243.328276 \n",
       "L 204.193157 242.705388 \n",
       "L 205.226288 242.008476 \n",
       "L 206.208264 241.241351 \n",
       "L 207.134271 240.407424 \n",
       "L 207.999894 239.511107 \n",
       "L 208.800922 238.556615 \n",
       "L 209.533341 237.548359 \n",
       "L 210.193542 236.491757 \n",
       "L 210.778716 235.391422 \n",
       "L 211.285451 234.252972 \n",
       "L 211.711743 233.082023 \n",
       "L 212.055184 231.884193 \n",
       "L 212.314169 230.665499 \n",
       "L 212.487695 229.431359 \n",
       "L 212.574558 228.188392 \n",
       "L 212.574558 226.942215 \n",
       "L 212.487695 225.699248 \n",
       "L 212.314169 224.465108 \n",
       "L 212.055184 223.246414 \n",
       "L 211.711743 222.048584 \n",
       "L 211.285451 220.877635 \n",
       "L 210.778716 219.739185 \n",
       "L 210.193542 218.63885 \n",
       "L 209.533341 217.582248 \n",
       "L 208.800922 216.573992 \n",
       "L 207.999894 215.6195 \n",
       "L 207.134271 214.723183 \n",
       "L 206.208264 213.889256 \n",
       "L 205.226288 213.122131 \n",
       "L 204.193157 212.425219 \n",
       "L 203.114087 211.802331 \n",
       "L 201.994092 211.256075 \n",
       "L 200.83859 210.789261 \n",
       "L 199.653599 210.404093 \n",
       "L 198.444535 210.10258 \n",
       "L 197.217215 209.886324 \n",
       "L 195.97806 209.755929 \n",
       "L 194.732685 209.711193 \n",
       "L 194.732685 208.507546 \n",
       "L 196.062115 208.554488 \n",
       "L 197.384924 208.69371 \n",
       "L 198.694894 208.92461 \n",
       "L 199.985605 209.246385 \n",
       "L 201.250639 209.65743 \n",
       "L 202.483977 210.155741 \n",
       "L 203.6794 210.738908 \n",
       "L 204.831492 211.403924 \n",
       "L 205.934234 212.147778 \n",
       "L 206.98241 212.96666 \n",
       "L 207.970806 213.856757 \n",
       "L 208.894806 214.813657 \n",
       "L 209.749998 215.832545 \n",
       "L 210.531767 216.908606 \n",
       "L 211.236704 218.036826 \n",
       "L 211.861196 219.211185 \n",
       "L 212.402236 220.426468 \n",
       "L 212.857014 221.676256 \n",
       "L 213.223726 222.954931 \n",
       "L 213.500364 224.256074 \n",
       "L 213.685525 225.573266 \n",
       "L 213.778206 226.900288 \n",
       "L 213.778206 228.230319 \n",
       "L 213.685525 229.557341 \n",
       "L 213.500364 230.874533 \n",
       "L 213.223726 232.175676 \n",
       "L 212.857014 233.454351 \n",
       "L 212.402236 234.704139 \n",
       "L 211.861196 235.919422 \n",
       "L 211.236704 237.093781 \n",
       "L 210.531767 238.222 \n",
       "L 209.749998 239.298062 \n",
       "L 208.894806 240.31695 \n",
       "L 207.970806 241.27385 \n",
       "L 206.98241 242.163947 \n",
       "L 205.934234 242.982829 \n",
       "L 204.831492 243.726683 \n",
       "L 203.6794 244.391699 \n",
       "L 202.483977 244.974866 \n",
       "L 201.250639 245.473176 \n",
       "L 199.985605 245.884222 \n",
       "L 198.694894 246.205997 \n",
       "L 197.384924 246.436897 \n",
       "L 196.062115 246.576119 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 246.623061 \n",
       "L 114.620491 245.419413 \n",
       "L 194.732685 245.419413 \n",
       "L 194.732685 246.623061 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 249.832789 \n",
       "L 114.620491 248.629141 \n",
       "L 194.732685 248.629141 \n",
       "L 194.732685 249.832789 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 289.954384 \n",
       "L 113.067184 289.901424 \n",
       "L 111.521299 289.738931 \n",
       "L 109.990459 289.469114 \n",
       "L 108.482289 289.092974 \n",
       "L 107.004008 288.612718 \n",
       "L 105.563041 288.030554 \n",
       "L 104.166007 287.349089 \n",
       "L 102.819727 286.571933 \n",
       "L 101.531222 285.702699 \n",
       "L 100.30631 284.745799 \n",
       "L 99.151209 283.705847 \n",
       "L 98.071537 282.587658 \n",
       "L 97.072509 281.39705 \n",
       "L 96.15874 280.139439 \n",
       "L 95.335044 278.821243 \n",
       "L 94.605432 277.448884 \n",
       "L 93.973116 276.028981 \n",
       "L 93.441505 274.568354 \n",
       "L 93.013207 273.074226 \n",
       "L 92.690027 271.553818 \n",
       "L 92.473571 270.014553 \n",
       "L 92.365243 268.464054 \n",
       "L 92.365243 266.909744 \n",
       "L 92.473571 265.359245 \n",
       "L 92.690027 263.81998 \n",
       "L 93.013207 262.299572 \n",
       "L 93.441505 260.805443 \n",
       "L 93.973116 259.344817 \n",
       "L 94.605432 257.924914 \n",
       "L 95.335044 256.552554 \n",
       "L 96.15874 255.234359 \n",
       "L 97.072509 253.976748 \n",
       "L 98.071537 252.78614 \n",
       "L 99.151209 251.667951 \n",
       "L 100.30631 250.627999 \n",
       "L 101.531222 249.671099 \n",
       "L 102.819727 248.801865 \n",
       "L 104.166007 248.024709 \n",
       "L 105.563041 247.343244 \n",
       "L 107.004008 246.76108 \n",
       "L 108.482289 246.280824 \n",
       "L 109.990459 245.904684 \n",
       "L 111.521299 245.634866 \n",
       "L 113.067184 245.472374 \n",
       "L 114.620491 245.419413 \n",
       "L 114.620491 246.623061 \n",
       "L 113.151038 246.673815 \n",
       "L 111.688806 246.827481 \n",
       "L 110.241019 247.082855 \n",
       "L 108.814295 247.438533 \n",
       "L 107.416057 247.892709 \n",
       "L 106.052725 248.443579 \n",
       "L 104.731321 249.088132 \n",
       "L 103.458062 249.82316 \n",
       "L 102.239168 250.645452 \n",
       "L 101.080456 251.550595 \n",
       "L 99.987945 252.534377 \n",
       "L 98.96665 253.591982 \n",
       "L 98.021385 254.718396 \n",
       "L 97.157366 255.9078 \n",
       "L 96.378205 257.154579 \n",
       "L 95.687913 258.452914 \n",
       "L 95.089901 259.795984 \n",
       "L 94.586976 261.177571 \n",
       "L 94.181748 262.590854 \n",
       "L 93.876022 264.029013 \n",
       "L 93.671402 265.485026 \n",
       "L 93.568891 266.951671 \n",
       "L 93.568891 268.422127 \n",
       "L 93.671402 269.888772 \n",
       "L 93.876022 271.344785 \n",
       "L 94.181748 272.782943 \n",
       "L 94.586976 274.196227 \n",
       "L 95.089901 275.577814 \n",
       "L 95.687913 276.920884 \n",
       "L 96.378205 278.219219 \n",
       "L 97.157366 279.465998 \n",
       "L 98.021385 280.655402 \n",
       "L 98.96665 281.781816 \n",
       "L 99.987945 282.839421 \n",
       "L 101.080456 283.823203 \n",
       "L 102.239168 284.728346 \n",
       "L 103.458062 285.550638 \n",
       "L 104.731321 286.285666 \n",
       "L 106.052725 286.930219 \n",
       "L 107.416057 287.481089 \n",
       "L 108.814295 287.935265 \n",
       "L 110.241019 288.290943 \n",
       "L 111.688806 288.546317 \n",
       "L 113.151038 288.699983 \n",
       "L 114.620491 288.750737 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 286.744657 \n",
       "L 113.291062 286.697715 \n",
       "L 111.968253 286.558493 \n",
       "L 110.658283 286.327593 \n",
       "L 109.367572 286.005818 \n",
       "L 108.102538 285.594772 \n",
       "L 106.8692 285.096462 \n",
       "L 105.673777 284.513294 \n",
       "L 104.521685 283.848279 \n",
       "L 103.418943 283.104424 \n",
       "L 102.370767 282.285543 \n",
       "L 101.382371 281.395445 \n",
       "L 100.458371 280.438545 \n",
       "L 99.603179 279.419657 \n",
       "L 98.82141 278.343596 \n",
       "L 98.116473 277.215377 \n",
       "L 97.49198 276.041018 \n",
       "L 96.950941 274.825734 \n",
       "L 96.496162 273.575947 \n",
       "L 96.129451 272.297271 \n",
       "L 95.852813 270.996128 \n",
       "L 95.667652 269.678936 \n",
       "L 95.574971 268.351914 \n",
       "L 95.574971 267.021883 \n",
       "L 95.667652 265.694862 \n",
       "L 95.852813 264.37767 \n",
       "L 96.129451 263.076526 \n",
       "L 96.496162 261.797851 \n",
       "L 96.950941 260.548063 \n",
       "L 97.49198 259.33278 \n",
       "L 98.116473 258.158421 \n",
       "L 98.82141 257.030202 \n",
       "L 99.603179 255.954141 \n",
       "L 100.458371 254.935253 \n",
       "L 101.382371 253.978353 \n",
       "L 102.370767 253.088255 \n",
       "L 103.418943 252.269373 \n",
       "L 104.521685 251.525519 \n",
       "L 105.673777 250.860504 \n",
       "L 106.8692 250.277336 \n",
       "L 108.102538 249.779026 \n",
       "L 109.367572 249.36798 \n",
       "L 110.658283 249.046205 \n",
       "L 111.968253 248.815305 \n",
       "L 113.291062 248.676083 \n",
       "L 114.620491 248.629141 \n",
       "L 114.620491 249.832789 \n",
       "L 113.375117 249.877525 \n",
       "L 112.135962 250.00792 \n",
       "L 110.908642 250.224175 \n",
       "L 109.699578 250.525689 \n",
       "L 108.514586 250.910856 \n",
       "L 107.359084 251.377671 \n",
       "L 106.23909 251.923926 \n",
       "L 105.16002 252.546814 \n",
       "L 104.126889 253.243726 \n",
       "L 103.144913 254.010851 \n",
       "L 102.218906 254.844779 \n",
       "L 101.353283 255.741095 \n",
       "L 100.552255 256.695588 \n",
       "L 99.819835 257.703844 \n",
       "L 99.159635 258.760446 \n",
       "L 98.574461 259.860781 \n",
       "L 98.067725 260.999231 \n",
       "L 97.641433 262.17018 \n",
       "L 97.297993 263.36801 \n",
       "L 97.039008 264.586703 \n",
       "L 96.865482 265.820844 \n",
       "L 96.778619 267.063811 \n",
       "L 96.778619 268.309987 \n",
       "L 96.865482 269.552954 \n",
       "L 97.039008 270.787095 \n",
       "L 97.297993 272.005788 \n",
       "L 97.641433 273.203618 \n",
       "L 98.067725 274.374567 \n",
       "L 98.574461 275.513017 \n",
       "L 99.159635 276.613352 \n",
       "L 99.819835 277.669954 \n",
       "L 100.552255 278.67821 \n",
       "L 101.353283 279.632703 \n",
       "L 102.218906 280.529019 \n",
       "L 103.144913 281.362947 \n",
       "L 104.126889 282.130071 \n",
       "L 105.16002 282.826984 \n",
       "L 106.23909 283.449871 \n",
       "L 107.359084 283.996127 \n",
       "L 108.514586 284.462942 \n",
       "L 109.699578 284.848109 \n",
       "L 110.908642 285.149623 \n",
       "L 112.135962 285.365878 \n",
       "L 113.375117 285.496273 \n",
       "L 114.620491 285.541009 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 289.954384 \n",
       "L 114.620491 288.750737 \n",
       "L 194.732685 288.750737 \n",
       "L 194.732685 289.954384 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "    <path d=\"M 114.620491 286.744657 \n",
       "L 114.620491 285.541009 \n",
       "L 194.732685 285.541009 \n",
       "L 194.732685 286.744657 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"PolyCollection_2\">\n",
       "    <path d=\"M 114.620491 48.021164 \n",
       "L 114.620491 46.015084 \n",
       "L 194.732685 46.015084 \n",
       "L 194.732685 48.021164 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 194.732685 88.142759 \n",
       "L 194.732685 86.136679 \n",
       "L 196.062115 86.089737 \n",
       "L 197.384924 85.950515 \n",
       "L 198.694894 85.719615 \n",
       "L 199.985605 85.39784 \n",
       "L 201.250639 84.986794 \n",
       "L 202.483977 84.488484 \n",
       "L 203.6794 83.905317 \n",
       "L 204.831492 83.240301 \n",
       "L 205.934234 82.496447 \n",
       "L 206.98241 81.677565 \n",
       "L 207.970806 80.787468 \n",
       "L 208.894806 79.830567 \n",
       "L 209.749998 78.81168 \n",
       "L 210.531767 77.735618 \n",
       "L 211.236704 76.607399 \n",
       "L 211.861196 75.43304 \n",
       "L 212.402236 74.217757 \n",
       "L 212.857014 72.967969 \n",
       "L 213.223726 71.689294 \n",
       "L 213.500364 70.388151 \n",
       "L 213.685525 69.070959 \n",
       "L 213.778206 67.743937 \n",
       "L 213.778206 66.413906 \n",
       "L 213.685525 65.086884 \n",
       "L 213.500364 63.769692 \n",
       "L 213.223726 62.468549 \n",
       "L 212.857014 61.189874 \n",
       "L 212.402236 59.940086 \n",
       "L 211.861196 58.724803 \n",
       "L 211.236704 57.550444 \n",
       "L 210.531767 56.422224 \n",
       "L 209.749998 55.346163 \n",
       "L 208.894806 54.327275 \n",
       "L 207.970806 53.370375 \n",
       "L 206.98241 52.480278 \n",
       "L 205.934234 51.661396 \n",
       "L 204.831492 50.917542 \n",
       "L 203.6794 50.252526 \n",
       "L 202.483977 49.669359 \n",
       "L 201.250639 49.171048 \n",
       "L 199.985605 48.760003 \n",
       "L 198.694894 48.438228 \n",
       "L 197.384924 48.207328 \n",
       "L 196.062115 48.068106 \n",
       "L 194.732685 48.021164 \n",
       "L 194.732685 46.015084 \n",
       "L 196.202139 46.065838 \n",
       "L 197.66437 46.219503 \n",
       "L 199.112158 46.474877 \n",
       "L 200.538882 46.830555 \n",
       "L 201.93712 47.284732 \n",
       "L 203.300452 47.835601 \n",
       "L 204.621856 48.480155 \n",
       "L 205.895115 49.215182 \n",
       "L 207.114009 50.037474 \n",
       "L 208.272721 50.942618 \n",
       "L 209.365232 51.926399 \n",
       "L 210.386527 52.984004 \n",
       "L 211.331792 54.110418 \n",
       "L 212.19581 55.299823 \n",
       "L 212.974972 56.546601 \n",
       "L 213.665264 57.844936 \n",
       "L 214.263276 59.188007 \n",
       "L 214.766201 60.569594 \n",
       "L 215.171429 61.982877 \n",
       "L 215.477155 63.421036 \n",
       "L 215.681775 64.877048 \n",
       "L 215.784286 66.343693 \n",
       "L 215.784286 67.81415 \n",
       "L 215.681775 69.280795 \n",
       "L 215.477155 70.736807 \n",
       "L 215.171429 72.174966 \n",
       "L 214.766201 73.588249 \n",
       "L 214.263276 74.969836 \n",
       "L 213.665264 76.312907 \n",
       "L 212.974972 77.611241 \n",
       "L 212.19581 78.85802 \n",
       "L 211.331792 80.047425 \n",
       "L 210.386527 81.173838 \n",
       "L 209.365232 82.231444 \n",
       "L 208.272721 83.215225 \n",
       "L 207.114009 84.120368 \n",
       "L 205.895115 84.942661 \n",
       "L 204.621856 85.677688 \n",
       "L 203.300452 86.322242 \n",
       "L 201.93712 86.873111 \n",
       "L 200.538882 87.327288 \n",
       "L 199.112158 87.682966 \n",
       "L 197.66437 87.93834 \n",
       "L 196.202139 88.092005 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 114.620491 88.142759 \n",
       "L 114.620491 86.136679 \n",
       "L 194.732685 86.136679 \n",
       "L 194.732685 88.142759 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 114.620491 128.264355 \n",
       "L 113.151038 128.213601 \n",
       "L 111.688806 128.059935 \n",
       "L 110.241019 127.804561 \n",
       "L 108.814295 127.448883 \n",
       "L 107.416057 126.994707 \n",
       "L 106.052725 126.443837 \n",
       "L 104.731321 125.799284 \n",
       "L 103.458062 125.064256 \n",
       "L 102.239168 124.241964 \n",
       "L 101.080456 123.336821 \n",
       "L 99.987945 122.353039 \n",
       "L 98.96665 121.295434 \n",
       "L 98.021385 120.16902 \n",
       "L 97.157366 118.979616 \n",
       "L 96.378205 117.732837 \n",
       "L 95.687913 116.434502 \n",
       "L 95.089901 115.091432 \n",
       "L 94.586976 113.709845 \n",
       "L 94.181748 112.296561 \n",
       "L 93.876022 110.858403 \n",
       "L 93.671402 109.40239 \n",
       "L 93.568891 107.935745 \n",
       "L 93.568891 106.465289 \n",
       "L 93.671402 104.998644 \n",
       "L 93.876022 103.542631 \n",
       "L 94.181748 102.104472 \n",
       "L 94.586976 100.691189 \n",
       "L 95.089901 99.309602 \n",
       "L 95.687913 97.966532 \n",
       "L 96.378205 96.668197 \n",
       "L 97.157366 95.421418 \n",
       "L 98.021385 94.232014 \n",
       "L 98.96665 93.1056 \n",
       "L 99.987945 92.047995 \n",
       "L 101.080456 91.064213 \n",
       "L 102.239168 90.15907 \n",
       "L 103.458062 89.336778 \n",
       "L 104.731321 88.60175 \n",
       "L 106.052725 87.957197 \n",
       "L 107.416057 87.406327 \n",
       "L 108.814295 86.952151 \n",
       "L 110.241019 86.596473 \n",
       "L 111.688806 86.341099 \n",
       "L 113.151038 86.187433 \n",
       "L 114.620491 86.136679 \n",
       "L 114.620491 88.142759 \n",
       "L 113.291062 88.189701 \n",
       "L 111.968253 88.328923 \n",
       "L 110.658283 88.559823 \n",
       "L 109.367572 88.881598 \n",
       "L 108.102538 89.292644 \n",
       "L 106.8692 89.790954 \n",
       "L 105.673777 90.374122 \n",
       "L 104.521685 91.039137 \n",
       "L 103.418943 91.782991 \n",
       "L 102.370767 92.601873 \n",
       "L 101.382371 93.491971 \n",
       "L 100.458371 94.448871 \n",
       "L 99.603179 95.467759 \n",
       "L 98.82141 96.54382 \n",
       "L 98.116473 97.672039 \n",
       "L 97.49198 98.846398 \n",
       "L 96.950941 100.061681 \n",
       "L 96.496162 101.311469 \n",
       "L 96.129451 102.590144 \n",
       "L 95.852813 103.891288 \n",
       "L 95.667652 105.20848 \n",
       "L 95.574971 106.535501 \n",
       "L 95.574971 107.865532 \n",
       "L 95.667652 109.192554 \n",
       "L 95.852813 110.509746 \n",
       "L 96.129451 111.810889 \n",
       "L 96.496162 113.089565 \n",
       "L 96.950941 114.339352 \n",
       "L 97.49198 115.554636 \n",
       "L 98.116473 116.728995 \n",
       "L 98.82141 117.857214 \n",
       "L 99.603179 118.933275 \n",
       "L 100.458371 119.952163 \n",
       "L 101.382371 120.909063 \n",
       "L 102.370767 121.799161 \n",
       "L 103.418943 122.618042 \n",
       "L 104.521685 123.361897 \n",
       "L 105.673777 124.026912 \n",
       "L 106.8692 124.61008 \n",
       "L 108.102538 125.10839 \n",
       "L 109.367572 125.519436 \n",
       "L 110.658283 125.841211 \n",
       "L 111.968253 126.072111 \n",
       "L 113.291062 126.211332 \n",
       "L 114.620491 126.258275 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 114.620491 128.264355 \n",
       "L 114.620491 126.258275 \n",
       "L 194.732685 126.258275 \n",
       "L 194.732685 128.264355 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 194.732685 168.38595 \n",
       "L 194.732685 166.37987 \n",
       "L 196.062115 166.332928 \n",
       "L 197.384924 166.193706 \n",
       "L 198.694894 165.962806 \n",
       "L 199.985605 165.641031 \n",
       "L 201.250639 165.229985 \n",
       "L 202.483977 164.731675 \n",
       "L 203.6794 164.148508 \n",
       "L 204.831492 163.483492 \n",
       "L 205.934234 162.739638 \n",
       "L 206.98241 161.920756 \n",
       "L 207.970806 161.030659 \n",
       "L 208.894806 160.073758 \n",
       "L 209.749998 159.054871 \n",
       "L 210.531767 157.978809 \n",
       "L 211.236704 156.85059 \n",
       "L 211.861196 155.676231 \n",
       "L 212.402236 154.460948 \n",
       "L 212.857014 153.21116 \n",
       "L 213.223726 151.932485 \n",
       "L 213.500364 150.631342 \n",
       "L 213.685525 149.31415 \n",
       "L 213.778206 147.987128 \n",
       "L 213.778206 146.657097 \n",
       "L 213.685525 145.330075 \n",
       "L 213.500364 144.012883 \n",
       "L 213.223726 142.71174 \n",
       "L 212.857014 141.433065 \n",
       "L 212.402236 140.183277 \n",
       "L 211.861196 138.967994 \n",
       "L 211.236704 137.793635 \n",
       "L 210.531767 136.665415 \n",
       "L 209.749998 135.589354 \n",
       "L 208.894806 134.570466 \n",
       "L 207.970806 133.613566 \n",
       "L 206.98241 132.723469 \n",
       "L 205.934234 131.904587 \n",
       "L 204.831492 131.160733 \n",
       "L 203.6794 130.495717 \n",
       "L 202.483977 129.91255 \n",
       "L 201.250639 129.414239 \n",
       "L 199.985605 129.003194 \n",
       "L 198.694894 128.681419 \n",
       "L 197.384924 128.450519 \n",
       "L 196.062115 128.311297 \n",
       "L 194.732685 128.264355 \n",
       "L 194.732685 126.258275 \n",
       "L 196.202139 126.309029 \n",
       "L 197.66437 126.462694 \n",
       "L 199.112158 126.718068 \n",
       "L 200.538882 127.073746 \n",
       "L 201.93712 127.527923 \n",
       "L 203.300452 128.078792 \n",
       "L 204.621856 128.723346 \n",
       "L 205.895115 129.458373 \n",
       "L 207.114009 130.280665 \n",
       "L 208.272721 131.185809 \n",
       "L 209.365232 132.16959 \n",
       "L 210.386527 133.227195 \n",
       "L 211.331792 134.353609 \n",
       "L 212.19581 135.543014 \n",
       "L 212.974972 136.789792 \n",
       "L 213.665264 138.088127 \n",
       "L 214.263276 139.431198 \n",
       "L 214.766201 140.812785 \n",
       "L 215.171429 142.226068 \n",
       "L 215.477155 143.664227 \n",
       "L 215.681775 145.120239 \n",
       "L 215.784286 146.586884 \n",
       "L 215.784286 148.057341 \n",
       "L 215.681775 149.523986 \n",
       "L 215.477155 150.979998 \n",
       "L 215.171429 152.418157 \n",
       "L 214.766201 153.83144 \n",
       "L 214.263276 155.213027 \n",
       "L 213.665264 156.556098 \n",
       "L 212.974972 157.854432 \n",
       "L 212.19581 159.101211 \n",
       "L 211.331792 160.290616 \n",
       "L 210.386527 161.41703 \n",
       "L 209.365232 162.474635 \n",
       "L 208.272721 163.458416 \n",
       "L 207.114009 164.363559 \n",
       "L 205.895115 165.185852 \n",
       "L 204.621856 165.920879 \n",
       "L 203.300452 166.565433 \n",
       "L 201.93712 167.116302 \n",
       "L 200.538882 167.570479 \n",
       "L 199.112158 167.926157 \n",
       "L 197.66437 168.181531 \n",
       "L 196.202139 168.335196 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 114.620491 168.38595 \n",
       "L 114.620491 166.37987 \n",
       "L 194.732685 166.37987 \n",
       "L 194.732685 168.38595 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 114.620491 208.507546 \n",
       "L 113.151038 208.456792 \n",
       "L 111.688806 208.303126 \n",
       "L 110.241019 208.047752 \n",
       "L 108.814295 207.692074 \n",
       "L 107.416057 207.237898 \n",
       "L 106.052725 206.687028 \n",
       "L 104.731321 206.042475 \n",
       "L 103.458062 205.307447 \n",
       "L 102.239168 204.485155 \n",
       "L 101.080456 203.580012 \n",
       "L 99.987945 202.59623 \n",
       "L 98.96665 201.538625 \n",
       "L 98.021385 200.412211 \n",
       "L 97.157366 199.222807 \n",
       "L 96.378205 197.976028 \n",
       "L 95.687913 196.677693 \n",
       "L 95.089901 195.334623 \n",
       "L 94.586976 193.953036 \n",
       "L 94.181748 192.539752 \n",
       "L 93.876022 191.101594 \n",
       "L 93.671402 189.645581 \n",
       "L 93.568891 188.178936 \n",
       "L 93.568891 186.70848 \n",
       "L 93.671402 185.241835 \n",
       "L 93.876022 183.785822 \n",
       "L 94.181748 182.347663 \n",
       "L 94.586976 180.93438 \n",
       "L 95.089901 179.552793 \n",
       "L 95.687913 178.209723 \n",
       "L 96.378205 176.911388 \n",
       "L 97.157366 175.664609 \n",
       "L 98.021385 174.475205 \n",
       "L 98.96665 173.348791 \n",
       "L 99.987945 172.291186 \n",
       "L 101.080456 171.307404 \n",
       "L 102.239168 170.402261 \n",
       "L 103.458062 169.579969 \n",
       "L 104.731321 168.844941 \n",
       "L 106.052725 168.200388 \n",
       "L 107.416057 167.649518 \n",
       "L 108.814295 167.195342 \n",
       "L 110.241019 166.839664 \n",
       "L 111.688806 166.58429 \n",
       "L 113.151038 166.430624 \n",
       "L 114.620491 166.37987 \n",
       "L 114.620491 168.38595 \n",
       "L 113.291062 168.432892 \n",
       "L 111.968253 168.572114 \n",
       "L 110.658283 168.803014 \n",
       "L 109.367572 169.124789 \n",
       "L 108.102538 169.535835 \n",
       "L 106.8692 170.034145 \n",
       "L 105.673777 170.617313 \n",
       "L 104.521685 171.282328 \n",
       "L 103.418943 172.026182 \n",
       "L 102.370767 172.845064 \n",
       "L 101.382371 173.735162 \n",
       "L 100.458371 174.692062 \n",
       "L 99.603179 175.71095 \n",
       "L 98.82141 176.787011 \n",
       "L 98.116473 177.91523 \n",
       "L 97.49198 179.089589 \n",
       "L 96.950941 180.304872 \n",
       "L 96.496162 181.55466 \n",
       "L 96.129451 182.833335 \n",
       "L 95.852813 184.134479 \n",
       "L 95.667652 185.451671 \n",
       "L 95.574971 186.778692 \n",
       "L 95.574971 188.108723 \n",
       "L 95.667652 189.435745 \n",
       "L 95.852813 190.752937 \n",
       "L 96.129451 192.05408 \n",
       "L 96.496162 193.332756 \n",
       "L 96.950941 194.582543 \n",
       "L 97.49198 195.797827 \n",
       "L 98.116473 196.972186 \n",
       "L 98.82141 198.100405 \n",
       "L 99.603179 199.176466 \n",
       "L 100.458371 200.195354 \n",
       "L 101.382371 201.152254 \n",
       "L 102.370767 202.042352 \n",
       "L 103.418943 202.861233 \n",
       "L 104.521685 203.605088 \n",
       "L 105.673777 204.270103 \n",
       "L 106.8692 204.853271 \n",
       "L 108.102538 205.351581 \n",
       "L 109.367572 205.762627 \n",
       "L 110.658283 206.084402 \n",
       "L 111.968253 206.315302 \n",
       "L 113.291062 206.454524 \n",
       "L 114.620491 206.501466 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 114.620491 208.507546 \n",
       "L 114.620491 206.501466 \n",
       "L 194.732685 206.501466 \n",
       "L 194.732685 208.507546 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 194.732685 248.629141 \n",
       "L 194.732685 246.623061 \n",
       "L 196.062115 246.576119 \n",
       "L 197.384924 246.436897 \n",
       "L 198.694894 246.205997 \n",
       "L 199.985605 245.884222 \n",
       "L 201.250639 245.473176 \n",
       "L 202.483977 244.974866 \n",
       "L 203.6794 244.391699 \n",
       "L 204.831492 243.726683 \n",
       "L 205.934234 242.982829 \n",
       "L 206.98241 242.163947 \n",
       "L 207.970806 241.27385 \n",
       "L 208.894806 240.31695 \n",
       "L 209.749998 239.298062 \n",
       "L 210.531767 238.222 \n",
       "L 211.236704 237.093781 \n",
       "L 211.861196 235.919422 \n",
       "L 212.402236 234.704139 \n",
       "L 212.857014 233.454351 \n",
       "L 213.223726 232.175676 \n",
       "L 213.500364 230.874533 \n",
       "L 213.685525 229.557341 \n",
       "L 213.778206 228.230319 \n",
       "L 213.778206 226.900288 \n",
       "L 213.685525 225.573266 \n",
       "L 213.500364 224.256074 \n",
       "L 213.223726 222.954931 \n",
       "L 212.857014 221.676256 \n",
       "L 212.402236 220.426468 \n",
       "L 211.861196 219.211185 \n",
       "L 211.236704 218.036826 \n",
       "L 210.531767 216.908606 \n",
       "L 209.749998 215.832545 \n",
       "L 208.894806 214.813657 \n",
       "L 207.970806 213.856757 \n",
       "L 206.98241 212.96666 \n",
       "L 205.934234 212.147778 \n",
       "L 204.831492 211.403924 \n",
       "L 203.6794 210.738908 \n",
       "L 202.483977 210.155741 \n",
       "L 201.250639 209.65743 \n",
       "L 199.985605 209.246385 \n",
       "L 198.694894 208.92461 \n",
       "L 197.384924 208.69371 \n",
       "L 196.062115 208.554488 \n",
       "L 194.732685 208.507546 \n",
       "L 194.732685 206.501466 \n",
       "L 196.202139 206.55222 \n",
       "L 197.66437 206.705885 \n",
       "L 199.112158 206.961259 \n",
       "L 200.538882 207.316937 \n",
       "L 201.93712 207.771114 \n",
       "L 203.300452 208.321983 \n",
       "L 204.621856 208.966537 \n",
       "L 205.895115 209.701564 \n",
       "L 207.114009 210.523856 \n",
       "L 208.272721 211.429 \n",
       "L 209.365232 212.412781 \n",
       "L 210.386527 213.470386 \n",
       "L 211.331792 214.5968 \n",
       "L 212.19581 215.786205 \n",
       "L 212.974972 217.032983 \n",
       "L 213.665264 218.331318 \n",
       "L 214.263276 219.674389 \n",
       "L 214.766201 221.055976 \n",
       "L 215.171429 222.469259 \n",
       "L 215.477155 223.907418 \n",
       "L 215.681775 225.36343 \n",
       "L 215.784286 226.830075 \n",
       "L 215.784286 228.300532 \n",
       "L 215.681775 229.767177 \n",
       "L 215.477155 231.223189 \n",
       "L 215.171429 232.661348 \n",
       "L 214.766201 234.074631 \n",
       "L 214.263276 235.456218 \n",
       "L 213.665264 236.799289 \n",
       "L 212.974972 238.097623 \n",
       "L 212.19581 239.344402 \n",
       "L 211.331792 240.533807 \n",
       "L 210.386527 241.660221 \n",
       "L 209.365232 242.717826 \n",
       "L 208.272721 243.701607 \n",
       "L 207.114009 244.60675 \n",
       "L 205.895115 245.429043 \n",
       "L 204.621856 246.16407 \n",
       "L 203.300452 246.808624 \n",
       "L 201.93712 247.359493 \n",
       "L 200.538882 247.81367 \n",
       "L 199.112158 248.169348 \n",
       "L 197.66437 248.424722 \n",
       "L 196.202139 248.578387 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 114.620491 248.629141 \n",
       "L 114.620491 246.623061 \n",
       "L 194.732685 246.623061 \n",
       "L 194.732685 248.629141 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 114.620491 288.750737 \n",
       "L 113.151038 288.699983 \n",
       "L 111.688806 288.546317 \n",
       "L 110.241019 288.290943 \n",
       "L 108.814295 287.935265 \n",
       "L 107.416057 287.481089 \n",
       "L 106.052725 286.930219 \n",
       "L 104.731321 286.285666 \n",
       "L 103.458062 285.550638 \n",
       "L 102.239168 284.728346 \n",
       "L 101.080456 283.823203 \n",
       "L 99.987945 282.839421 \n",
       "L 98.96665 281.781816 \n",
       "L 98.021385 280.655402 \n",
       "L 97.157366 279.465998 \n",
       "L 96.378205 278.219219 \n",
       "L 95.687913 276.920884 \n",
       "L 95.089901 275.577814 \n",
       "L 94.586976 274.196227 \n",
       "L 94.181748 272.782943 \n",
       "L 93.876022 271.344785 \n",
       "L 93.671402 269.888772 \n",
       "L 93.568891 268.422127 \n",
       "L 93.568891 266.951671 \n",
       "L 93.671402 265.485026 \n",
       "L 93.876022 264.029013 \n",
       "L 94.181748 262.590854 \n",
       "L 94.586976 261.177571 \n",
       "L 95.089901 259.795984 \n",
       "L 95.687913 258.452914 \n",
       "L 96.378205 257.154579 \n",
       "L 97.157366 255.9078 \n",
       "L 98.021385 254.718396 \n",
       "L 98.96665 253.591982 \n",
       "L 99.987945 252.534377 \n",
       "L 101.080456 251.550595 \n",
       "L 102.239168 250.645452 \n",
       "L 103.458062 249.82316 \n",
       "L 104.731321 249.088132 \n",
       "L 106.052725 248.443579 \n",
       "L 107.416057 247.892709 \n",
       "L 108.814295 247.438533 \n",
       "L 110.241019 247.082855 \n",
       "L 111.688806 246.827481 \n",
       "L 113.151038 246.673815 \n",
       "L 114.620491 246.623061 \n",
       "L 114.620491 248.629141 \n",
       "L 113.291062 248.676083 \n",
       "L 111.968253 248.815305 \n",
       "L 110.658283 249.046205 \n",
       "L 109.367572 249.36798 \n",
       "L 108.102538 249.779026 \n",
       "L 106.8692 250.277336 \n",
       "L 105.673777 250.860504 \n",
       "L 104.521685 251.525519 \n",
       "L 103.418943 252.269373 \n",
       "L 102.370767 253.088255 \n",
       "L 101.382371 253.978353 \n",
       "L 100.458371 254.935253 \n",
       "L 99.603179 255.954141 \n",
       "L 98.82141 257.030202 \n",
       "L 98.116473 258.158421 \n",
       "L 97.49198 259.33278 \n",
       "L 96.950941 260.548063 \n",
       "L 96.496162 261.797851 \n",
       "L 96.129451 263.076526 \n",
       "L 95.852813 264.37767 \n",
       "L 95.667652 265.694862 \n",
       "L 95.574971 267.021883 \n",
       "L 95.574971 268.351914 \n",
       "L 95.667652 269.678936 \n",
       "L 95.852813 270.996128 \n",
       "L 96.129451 272.297271 \n",
       "L 96.496162 273.575947 \n",
       "L 96.950941 274.825734 \n",
       "L 97.49198 276.041018 \n",
       "L 98.116473 277.215377 \n",
       "L 98.82141 278.343596 \n",
       "L 99.603179 279.419657 \n",
       "L 100.458371 280.438545 \n",
       "L 101.382371 281.395445 \n",
       "L 102.370767 282.285543 \n",
       "L 103.418943 283.104424 \n",
       "L 104.521685 283.848279 \n",
       "L 105.673777 284.513294 \n",
       "L 106.8692 285.096462 \n",
       "L 108.102538 285.594772 \n",
       "L 109.367572 286.005818 \n",
       "L 110.658283 286.327593 \n",
       "L 111.968253 286.558493 \n",
       "L 113.291062 286.697715 \n",
       "L 114.620491 286.744657 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "    <path d=\"M 114.620491 288.750737 \n",
       "L 114.620491 286.744657 \n",
       "L 194.732685 286.744657 \n",
       "L 194.732685 288.750737 \n",
       "z\n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path d=\"M 74.498896 309.56582 \n",
       "L 74.498896 25.2 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path id=\"m572c10e580\" d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m572c10e580\" x=\"74.498896\" y=\"309.56582\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathdefault{−200}$ -->\n",
       "      <g transform=\"translate(61.798896 326.25332) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-5f3\" d=\"M 3584 2091 \n",
       "L 3584 1553 \n",
       "L 656 1553 \n",
       "L 656 2091 \n",
       "L 3584 2091 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-53f\" d=\"M 481 0 \n",
       "L 481 428 \n",
       "L 2028 2106 \n",
       "Q 2288 2388 2459 2600 \n",
       "Q 2631 2813 2718 3005 \n",
       "Q 2806 3197 2806 3413 \n",
       "Q 2806 3778 2554 3990 \n",
       "Q 2303 4203 1931 4203 \n",
       "Q 1534 4203 1298 3965 \n",
       "Q 1063 3728 1063 3334 \n",
       "L 494 3334 \n",
       "Q 494 3747 684 4059 \n",
       "Q 875 4372 1203 4545 \n",
       "Q 1531 4719 1947 4719 \n",
       "Q 2363 4719 2683 4545 \n",
       "Q 3003 4372 3186 4078 \n",
       "Q 3369 3784 3369 3419 \n",
       "Q 3369 3166 3278 2927 \n",
       "Q 3188 2688 2959 2384 \n",
       "Q 2731 2081 2319 1644 \n",
       "L 1300 559 \n",
       "L 1300 522 \n",
       "L 3447 522 \n",
       "L 3447 0 \n",
       "L 481 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-53d\" d=\"M 2019 -63 \n",
       "Q 1241 -63 811 562 \n",
       "Q 381 1188 381 2325 \n",
       "Q 381 3456 814 4087 \n",
       "Q 1247 4719 2019 4719 \n",
       "Q 2794 4719 3225 4087 \n",
       "Q 3656 3456 3656 2325 \n",
       "Q 3656 1188 3228 562 \n",
       "Q 2800 -63 2019 -63 \n",
       "z\n",
       "M 2019 456 \n",
       "Q 2531 456 2807 948 \n",
       "Q 3084 1441 3084 2325 \n",
       "Q 3084 3216 2807 3709 \n",
       "Q 2531 4203 2019 4203 \n",
       "Q 1509 4203 1231 3708 \n",
       "Q 953 3213 953 2325 \n",
       "Q 953 1441 1231 948 \n",
       "Q 1509 456 2019 456 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(127.148438 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(190.234375 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path d=\"M 114.620491 309.56582 \n",
       "L 114.620491 25.2 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m572c10e580\" x=\"114.620491\" y=\"309.56582\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathdefault{0}$ -->\n",
       "      <g transform=\"translate(111.420491 326.25332) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path d=\"M 154.742087 309.56582 \n",
       "L 154.742087 25.2 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m572c10e580\" x=\"154.742087\" y=\"309.56582\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathdefault{200}$ -->\n",
       "      <g transform=\"translate(145.342087 326.25332) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(60.986328 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(124.072266 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path d=\"M 194.863682 309.56582 \n",
       "L 194.863682 25.2 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m572c10e580\" x=\"194.863682\" y=\"309.56582\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathdefault{400}$ -->\n",
       "      <g transform=\"translate(185.313682 326.25332) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-542\" d=\"M 375 947 \n",
       "L 375 1431 \n",
       "L 2413 4656 \n",
       "L 3134 4656 \n",
       "L 3134 1469 \n",
       "L 3766 1469 \n",
       "L 3766 947 \n",
       "L 3134 947 \n",
       "L 3134 0 \n",
       "L 2566 0 \n",
       "L 2566 947 \n",
       "L 375 947 \n",
       "z\n",
       "M 2569 1469 \n",
       "L 2569 3913 \n",
       "L 2531 3913 \n",
       "L 1009 1506 \n",
       "L 1009 1469 \n",
       "L 2569 1469 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-542\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(64.599609 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(127.685547 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path d=\"M 234.985278 309.56582 \n",
       "L 234.985278 25.2 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m572c10e580\" x=\"234.985278\" y=\"309.56582\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathdefault{600}$ -->\n",
       "      <g transform=\"translate(225.535278 326.25332) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-545\" d=\"M 2019 -63 \n",
       "Q 1728 -63 1437 43 \n",
       "Q 1147 150 908 400 \n",
       "Q 669 650 525 1078 \n",
       "Q 381 1506 381 2150 \n",
       "Q 381 3378 840 4048 \n",
       "Q 1300 4719 2091 4719 \n",
       "Q 2481 4719 2790 4562 \n",
       "Q 3100 4406 3297 4128 \n",
       "Q 3494 3850 3550 3484 \n",
       "L 2969 3484 \n",
       "Q 2891 3788 2672 3991 \n",
       "Q 2453 4194 2091 4194 \n",
       "Q 1553 4194 1248 3730 \n",
       "Q 944 3266 944 2425 \n",
       "L 981 2425 \n",
       "Q 1169 2716 1467 2880 \n",
       "Q 1766 3044 2128 3044 \n",
       "Q 2528 3044 2859 2847 \n",
       "Q 3191 2650 3389 2301 \n",
       "Q 3588 1953 3588 1503 \n",
       "Q 3588 1069 3394 714 \n",
       "Q 3200 359 2847 148 \n",
       "Q 2494 -63 2019 -63 \n",
       "z\n",
       "M 2019 459 \n",
       "Q 2300 459 2525 600 \n",
       "Q 2750 741 2881 977 \n",
       "Q 3013 1213 3013 1503 \n",
       "Q 3013 1788 2886 2020 \n",
       "Q 2759 2253 2537 2390 \n",
       "Q 2316 2528 2034 2528 \n",
       "Q 1753 2528 1525 2384 \n",
       "Q 1297 2241 1162 2005 \n",
       "Q 1028 1769 1028 1497 \n",
       "Q 1028 1222 1156 986 \n",
       "Q 1284 750 1509 604 \n",
       "Q 1734 459 2019 459 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(62.011719 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(125.097656 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_6\">\n",
       "     <!-- x (µm) -->\n",
       "     <g transform=\"translate(138.075182 343.32168) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-3e1\" d=\"M 203 0 \n",
       "L 1431 1794 \n",
       "L 275 3494 \n",
       "L 931 3494 \n",
       "L 1366 2816 \n",
       "Q 1484 2628 1579 2461 \n",
       "Q 1675 2294 1766 2134 \n",
       "Q 1850 2294 1937 2461 \n",
       "Q 2025 2628 2147 2816 \n",
       "L 2591 3494 \n",
       "L 3234 3494 \n",
       "L 2066 1763 \n",
       "L 3291 0 \n",
       "L 2638 0 \n",
       "L 2125 784 \n",
       "Q 2009 963 1918 1123 \n",
       "Q 1828 1284 1741 1431 \n",
       "Q 1659 1284 1575 1123 \n",
       "Q 1491 963 1372 784 \n",
       "L 853 0 \n",
       "L 203 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-6f1\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-59d\" d=\"M 681 1897 \n",
       "Q 681 2406 786 2964 \n",
       "Q 891 3522 1072 4039 \n",
       "Q 1253 4556 1488 4941 \n",
       "L 2034 4941 \n",
       "Q 1794 4450 1617 3919 \n",
       "Q 1441 3388 1347 2870 \n",
       "Q 1253 2353 1253 1897 \n",
       "Q 1253 1275 1442 617 \n",
       "Q 1631 -41 2034 -872 \n",
       "L 1488 -872 \n",
       "Q 1091 -194 886 509 \n",
       "Q 681 1213 681 1897 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-397\" d=\"M 494 -1306 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 1375 \n",
       "Q 1056 884 1303 665 \n",
       "Q 1550 447 1903 447 \n",
       "Q 2259 447 2493 667 \n",
       "Q 2728 888 2728 1375 \n",
       "L 2728 3494 \n",
       "L 3291 3494 \n",
       "L 3291 791 \n",
       "Q 3291 619 3366 551 \n",
       "Q 3441 484 3628 484 \n",
       "L 3719 484 \n",
       "L 3719 0 \n",
       "L 3606 0 \n",
       "Q 2903 0 2769 525 \n",
       "Q 2678 300 2526 175 \n",
       "Q 2375 50 2208 0 \n",
       "Q 2041 -50 1900 -50 \n",
       "Q 1700 -50 1451 59 \n",
       "Q 1203 169 1056 472 \n",
       "L 1056 -1306 \n",
       "L 494 -1306 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2fe\" d=\"M 494 0 \n",
       "L 494 3494 \n",
       "L 1041 3494 \n",
       "L 1044 2853 \n",
       "Q 1172 3206 1442 3381 \n",
       "Q 1713 3556 2022 3556 \n",
       "Q 2366 3556 2592 3361 \n",
       "Q 2819 3166 2913 2844 \n",
       "Q 3038 3175 3336 3365 \n",
       "Q 3634 3556 4013 3556 \n",
       "Q 4316 3556 4566 3425 \n",
       "Q 4816 3294 4964 3028 \n",
       "Q 5113 2763 5113 2356 \n",
       "L 5113 0 \n",
       "L 4550 0 \n",
       "L 4550 2341 \n",
       "Q 4550 2719 4337 2881 \n",
       "Q 4125 3044 3844 3044 \n",
       "Q 3491 3044 3287 2828 \n",
       "Q 3084 2613 3084 2281 \n",
       "L 3084 0 \n",
       "L 2522 0 \n",
       "L 2522 2397 \n",
       "Q 2522 2688 2328 2866 \n",
       "Q 2134 3044 1838 3044 \n",
       "Q 1531 3044 1293 2831 \n",
       "Q 1056 2619 1056 2200 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-59e\" d=\"M 300 -872 \n",
       "Q 716 -16 898 639 \n",
       "Q 1081 1294 1081 1897 \n",
       "Q 1081 2353 987 2870 \n",
       "Q 894 3388 719 3919 \n",
       "Q 544 4450 300 4941 \n",
       "L 847 4941 \n",
       "Q 1081 4556 1264 4039 \n",
       "Q 1447 3522 1550 2962 \n",
       "Q 1653 2403 1653 1897 \n",
       "Q 1653 1200 1445 497 \n",
       "Q 1238 -206 847 -872 \n",
       "L 300 -872 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-3e1\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(54.59375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(82.71875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-397\" transform=\"translate(119.1875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2fe\" transform=\"translate(177.78125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(265.375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path d=\"M 61.20957 287.747697 \n",
       "L 248.143607 287.747697 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <defs>\n",
       "       <path id=\"m6ce5accc6b\" d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6ce5accc6b\" x=\"61.20957\" y=\"287.747697\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathdefault{−1200}$ -->\n",
       "      <g transform=\"translate(24.80957 292.591447) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53e\" d=\"M 2041 4656 \n",
       "L 2041 0 \n",
       "L 1456 0 \n",
       "L 1456 4106 \n",
       "L 1425 4106 \n",
       "L 300 3272 \n",
       "L 300 3909 \n",
       "L 1313 4656 \n",
       "L 2041 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(106.835938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(167.822266 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(230.908203 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path d=\"M 61.20957 247.626101 \n",
       "L 248.143607 247.626101 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6ce5accc6b\" x=\"61.20957\" y=\"247.626101\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathdefault{−1000}$ -->\n",
       "      <g transform=\"translate(24.50957 252.469851) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(106.835938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(169.921875 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(233.007812 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path d=\"M 61.20957 207.504506 \n",
       "L 248.143607 207.504506 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6ce5accc6b\" x=\"61.20957\" y=\"207.504506\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- $\\mathdefault{−800}$ -->\n",
       "      <g transform=\"translate(28.70957 212.348256) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-547\" d=\"M 1978 -63 \n",
       "Q 1506 -63 1145 104 \n",
       "Q 784 272 582 565 \n",
       "Q 381 859 381 1238 \n",
       "Q 381 1531 500 1782 \n",
       "Q 619 2034 825 2203 \n",
       "Q 1031 2372 1291 2419 \n",
       "L 1291 2444 \n",
       "Q 950 2531 750 2822 \n",
       "Q 550 3113 550 3481 \n",
       "Q 550 3838 734 4117 \n",
       "Q 919 4397 1241 4558 \n",
       "Q 1563 4719 1978 4719 \n",
       "Q 2388 4719 2709 4558 \n",
       "Q 3031 4397 3217 4117 \n",
       "Q 3403 3838 3403 3481 \n",
       "Q 3403 3113 3201 2822 \n",
       "Q 3000 2531 2669 2444 \n",
       "L 2669 2419 \n",
       "Q 2922 2372 3128 2203 \n",
       "Q 3334 2034 3456 1782 \n",
       "Q 3578 1531 3578 1238 \n",
       "Q 3578 859 3373 565 \n",
       "Q 3169 272 2808 104 \n",
       "Q 2447 -63 1978 -63 \n",
       "z\n",
       "M 1978 453 \n",
       "Q 2441 453 2712 676 \n",
       "Q 2984 900 2984 1269 \n",
       "Q 2984 1528 2853 1726 \n",
       "Q 2722 1925 2494 2039 \n",
       "Q 2266 2153 1978 2153 \n",
       "Q 1538 2153 1252 1904 \n",
       "Q 966 1656 966 1269 \n",
       "Q 966 900 1236 676 \n",
       "Q 1506 453 1978 453 \n",
       "z\n",
       "M 1978 2650 \n",
       "Q 2347 2650 2587 2867 \n",
       "Q 2828 3084 2828 3438 \n",
       "Q 2828 3788 2593 3997 \n",
       "Q 2359 4206 1978 4206 \n",
       "Q 1591 4206 1358 3997 \n",
       "Q 1125 3788 1125 3438 \n",
       "Q 1125 3084 1362 2867 \n",
       "Q 1600 2650 1978 2650 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(128.027344 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(191.113281 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path d=\"M 61.20957 167.38291 \n",
       "L 248.143607 167.38291 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6ce5accc6b\" x=\"61.20957\" y=\"167.38291\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- $\\mathdefault{−600}$ -->\n",
       "      <g transform=\"translate(28.70957 172.22666) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(128.173828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(191.259766 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path d=\"M 61.20957 127.261315 \n",
       "L 248.143607 127.261315 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6ce5accc6b\" x=\"61.20957\" y=\"127.261315\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- $\\mathdefault{−400}$ -->\n",
       "      <g transform=\"translate(28.50957 132.105065) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-542\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(130.761719 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(193.847656 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path d=\"M 61.20957 87.139719 \n",
       "L 248.143607 87.139719 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6ce5accc6b\" x=\"61.20957\" y=\"87.139719\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- $\\mathdefault{−200}$ -->\n",
       "      <g transform=\"translate(28.80957 91.983469) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(127.148438 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(190.234375 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path d=\"M 61.20957 47.018124 \n",
       "L 248.143607 47.018124 \n",
       "\" clip-path=\"url(#pac0d9a5e5e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m6ce5accc6b\" x=\"61.20957\" y=\"47.018124\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- $\\mathdefault{0}$ -->\n",
       "      <g transform=\"translate(47.80957 51.861874) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_14\">\n",
       "     <!-- y (µm) -->\n",
       "     <g transform=\"translate(17.85625 184.072832) rotate(-90) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-3e6\" d=\"M 438 -1266 \n",
       "L 581 -778 \n",
       "L 641 -794 \n",
       "Q 900 -863 1087 -773 \n",
       "Q 1275 -684 1403 -309 \n",
       "L 1503 -19 \n",
       "L 169 3494 \n",
       "L 784 3494 \n",
       "L 1528 1422 \n",
       "Q 1609 1194 1673 969 \n",
       "Q 1738 744 1797 525 \n",
       "Q 1856 744 1920 969 \n",
       "Q 1984 1194 2066 1422 \n",
       "L 2816 3494 \n",
       "L 3428 3494 \n",
       "L 1894 -522 \n",
       "Q 1734 -938 1478 -1134 \n",
       "Q 1222 -1331 850 -1331 \n",
       "Q 700 -1331 590 -1309 \n",
       "Q 481 -1288 438 -1266 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-3e6\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(56.203125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(84.328125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-397\" transform=\"translate(120.796875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2fe\" transform=\"translate(179.390625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(266.984375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 61.20957 309.56582 \n",
       "L 61.20957 25.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 248.143607 309.56582 \n",
       "L 248.143607 25.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 61.20957 309.56582 \n",
       "L 248.143607 309.56582 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 61.20957 25.2 \n",
       "L 248.143607 25.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"text_15\">\n",
       "    <!-- Coupler -->\n",
       "    <g transform=\"translate(95.943929 35.018124) scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"Inter-Regular-49\" d=\"M 2447 -63 \n",
       "Q 1850 -63 1383 226 \n",
       "Q 916 516 648 1052 \n",
       "Q 381 1588 381 2325 \n",
       "Q 381 3066 648 3602 \n",
       "Q 916 4138 1383 4428 \n",
       "Q 1850 4719 2447 4719 \n",
       "Q 2919 4719 3314 4536 \n",
       "Q 3709 4353 3976 4012 \n",
       "Q 4244 3672 4325 3191 \n",
       "L 3731 3191 \n",
       "Q 3666 3509 3477 3728 \n",
       "Q 3288 3947 3019 4058 \n",
       "Q 2750 4169 2447 4169 \n",
       "Q 2028 4169 1690 3956 \n",
       "Q 1353 3744 1156 3333 \n",
       "Q 959 2922 959 2325 \n",
       "Q 959 1731 1157 1320 \n",
       "Q 1356 909 1693 698 \n",
       "Q 2031 488 2447 488 \n",
       "Q 2753 488 3020 600 \n",
       "Q 3288 713 3477 931 \n",
       "Q 3666 1150 3731 1466 \n",
       "L 4325 1466 \n",
       "Q 4244 994 3980 650 \n",
       "Q 3716 306 3320 121 \n",
       "Q 2925 -63 2447 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Inter-Regular-316\" d=\"M 1916 -75 \n",
       "Q 1441 -75 1083 150 \n",
       "Q 725 375 525 781 \n",
       "Q 325 1188 325 1725 \n",
       "Q 325 2272 525 2680 \n",
       "Q 725 3088 1083 3313 \n",
       "Q 1441 3538 1916 3538 \n",
       "Q 2394 3538 2753 3313 \n",
       "Q 3113 3088 3313 2680 \n",
       "Q 3513 2272 3513 1725 \n",
       "Q 3513 1188 3313 781 \n",
       "Q 3113 375 2753 150 \n",
       "Q 2394 -75 1916 -75 \n",
       "z\n",
       "M 1916 428 \n",
       "Q 2269 428 2497 609 \n",
       "Q 2725 791 2834 1086 \n",
       "Q 2944 1381 2944 1725 \n",
       "Q 2944 2072 2834 2370 \n",
       "Q 2725 2669 2497 2851 \n",
       "Q 2269 3034 1916 3034 \n",
       "Q 1566 3034 1341 2851 \n",
       "Q 1116 2669 1006 2372 \n",
       "Q 897 2075 897 1725 \n",
       "Q 897 1381 1006 1086 \n",
       "Q 1116 791 1341 609 \n",
       "Q 1566 428 1916 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Inter-Regular-393\" d=\"M 1678 -44 \n",
       "Q 1150 -44 822 284 \n",
       "Q 494 613 494 1275 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 1322 \n",
       "Q 1056 919 1268 691 \n",
       "Q 1481 463 1847 463 \n",
       "Q 2222 463 2473 708 \n",
       "Q 2725 953 2725 1400 \n",
       "L 2725 3494 \n",
       "L 3291 3494 \n",
       "L 3291 0 \n",
       "L 2747 0 \n",
       "L 2747 653 \n",
       "Q 2575 272 2298 114 \n",
       "Q 2022 -44 1678 -44 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Inter-Regular-34b\" d=\"M 494 -1306 \n",
       "L 494 3494 \n",
       "L 1038 3494 \n",
       "L 1038 2934 \n",
       "L 1100 2934 \n",
       "Q 1159 3028 1265 3170 \n",
       "Q 1372 3313 1572 3425 \n",
       "Q 1772 3538 2113 3538 \n",
       "Q 2550 3538 2883 3319 \n",
       "Q 3216 3100 3405 2695 \n",
       "Q 3594 2291 3594 1738 \n",
       "Q 3594 1181 3406 775 \n",
       "Q 3219 369 2886 147 \n",
       "Q 2553 -75 2116 -75 \n",
       "Q 1784 -75 1581 39 \n",
       "Q 1378 153 1268 298 \n",
       "Q 1159 444 1100 541 \n",
       "L 1056 541 \n",
       "L 1056 -1306 \n",
       "L 494 -1306 \n",
       "z\n",
       "M 2031 428 \n",
       "Q 2359 428 2579 604 \n",
       "Q 2800 781 2911 1079 \n",
       "Q 3022 1378 3022 1744 \n",
       "Q 3022 2106 2912 2398 \n",
       "Q 2803 2691 2583 2862 \n",
       "Q 2363 3034 2031 3034 \n",
       "Q 1550 3034 1300 2678 \n",
       "Q 1050 2322 1050 1744 \n",
       "Q 1050 1159 1303 793 \n",
       "Q 1556 428 2031 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Inter-Regular-2e0\" d=\"M 1056 4656 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 4656 \n",
       "L 1056 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Inter-Regular-266\" d=\"M 1963 -75 \n",
       "Q 1456 -75 1089 150 \n",
       "Q 722 375 523 778 \n",
       "Q 325 1181 325 1719 \n",
       "Q 325 2256 519 2665 \n",
       "Q 713 3075 1067 3306 \n",
       "Q 1422 3538 1897 3538 \n",
       "Q 2175 3538 2445 3445 \n",
       "Q 2716 3353 2936 3148 \n",
       "Q 3156 2944 3287 2609 \n",
       "Q 3419 2275 3419 1791 \n",
       "L 3419 1556 \n",
       "L 894 1556 \n",
       "Q 916 1009 1208 717 \n",
       "Q 1500 425 1966 425 \n",
       "Q 2275 425 2498 561 \n",
       "Q 2722 697 2819 963 \n",
       "L 3363 813 \n",
       "Q 3241 416 2870 170 \n",
       "Q 2500 -75 1963 -75 \n",
       "z\n",
       "M 897 2031 \n",
       "L 2847 2031 \n",
       "Q 2806 2478 2567 2758 \n",
       "Q 2328 3038 1897 3038 \n",
       "Q 1597 3038 1380 2897 \n",
       "Q 1163 2756 1038 2528 \n",
       "Q 913 2300 897 2031 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Inter-Regular-354\" d=\"M 494 0 \n",
       "L 494 3494 \n",
       "L 1038 3494 \n",
       "L 1038 2956 \n",
       "L 1075 2956 \n",
       "Q 1172 3222 1420 3383 \n",
       "Q 1669 3544 1981 3544 \n",
       "Q 2044 3544 2130 3541 \n",
       "Q 2216 3538 2266 3534 \n",
       "L 2266 2969 \n",
       "Q 2241 2975 2141 2987 \n",
       "Q 2041 3000 1928 3000 \n",
       "Q 1550 3000 1303 2770 \n",
       "Q 1056 2541 1056 2188 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#Inter-Regular-49\"/>\n",
       "     <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(73.046875 0)\"/>\n",
       "     <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(133.015625 0)\"/>\n",
       "     <use xlink:href=\"#Inter-Regular-34b\" transform=\"translate(192.140625 0)\"/>\n",
       "     <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(253.375 0)\"/>\n",
       "     <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(277.59375 0)\"/>\n",
       "     <use xlink:href=\"#Inter-Regular-354\" transform=\"translate(335.890625 0)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_16\">\n",
       "    <!-- SQUID -->\n",
       "    <g transform=\"translate(179.028779 275.747697) scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"Inter-Regular-18d\" d=\"M 2053 -81 \n",
       "Q 1297 -81 850 276 \n",
       "Q 403 634 363 1219 \n",
       "L 972 1219 \n",
       "Q 997 956 1150 786 \n",
       "Q 1303 616 1542 533 \n",
       "Q 1781 450 2053 450 \n",
       "Q 2369 450 2620 553 \n",
       "Q 2872 656 3019 843 \n",
       "Q 3166 1031 3166 1278 \n",
       "Q 3166 1503 3039 1643 \n",
       "Q 2913 1784 2703 1875 \n",
       "Q 2494 1966 2244 2034 \n",
       "L 1681 2194 \n",
       "Q 1119 2353 806 2650 \n",
       "Q 494 2947 494 3409 \n",
       "Q 494 3803 706 4098 \n",
       "Q 919 4394 1281 4556 \n",
       "Q 1644 4719 2094 4719 \n",
       "Q 2553 4719 2906 4556 \n",
       "Q 3259 4394 3464 4114 \n",
       "Q 3669 3834 3681 3481 \n",
       "L 3100 3481 \n",
       "Q 3059 3822 2775 4008 \n",
       "Q 2491 4194 2075 4194 \n",
       "Q 1622 4194 1347 3980 \n",
       "Q 1072 3766 1072 3438 \n",
       "Q 1072 3194 1223 3045 \n",
       "Q 1375 2897 1583 2814 \n",
       "Q 1791 2731 1959 2684 \n",
       "L 2425 2556 \n",
       "Q 2613 2506 2839 2418 \n",
       "Q 3066 2331 3272 2186 \n",
       "Q 3478 2041 3611 1817 \n",
       "Q 3744 1594 3744 1269 \n",
       "Q 3744 888 3545 581 \n",
       "Q 3347 275 2969 97 \n",
       "Q 2591 -81 2053 -81 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Inter-Regular-17e\" d=\"M 2450 -63 \n",
       "Q 1853 -63 1386 226 \n",
       "Q 919 516 650 1052 \n",
       "Q 381 1588 381 2325 \n",
       "Q 381 3066 650 3602 \n",
       "Q 919 4138 1386 4428 \n",
       "Q 1853 4719 2450 4719 \n",
       "Q 3047 4719 3512 4428 \n",
       "Q 3978 4138 4245 3602 \n",
       "Q 4513 3066 4513 2325 \n",
       "Q 4513 1666 4295 1166 \n",
       "Q 4078 666 3700 359 \n",
       "L 4300 -438 \n",
       "L 3681 -438 \n",
       "L 3278 103 \n",
       "Q 2897 -63 2450 -63 \n",
       "z\n",
       "M 2256 1456 \n",
       "L 2875 1456 \n",
       "L 3363 816 \n",
       "Q 3625 1044 3779 1423 \n",
       "Q 3934 1803 3934 2325 \n",
       "Q 3934 2925 3736 3336 \n",
       "Q 3538 3747 3202 3958 \n",
       "Q 2866 4169 2450 4169 \n",
       "Q 2031 4169 1693 3956 \n",
       "Q 1356 3744 1157 3333 \n",
       "Q 959 2922 959 2325 \n",
       "Q 959 1731 1157 1322 \n",
       "Q 1356 913 1693 700 \n",
       "Q 2031 488 2450 488 \n",
       "Q 2703 488 2931 566 \n",
       "L 2256 1456 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Inter-Regular-1a8\" d=\"M 2384 -75 \n",
       "Q 1834 -75 1423 140 \n",
       "Q 1013 356 788 731 \n",
       "Q 563 1106 563 1584 \n",
       "L 563 4656 \n",
       "L 1156 4656 \n",
       "L 1156 1631 \n",
       "Q 1156 1297 1304 1036 \n",
       "Q 1453 775 1728 625 \n",
       "Q 2003 475 2384 475 \n",
       "Q 2766 475 3039 625 \n",
       "Q 3313 775 3459 1036 \n",
       "Q 3606 1297 3606 1631 \n",
       "L 3606 4656 \n",
       "L 4200 4656 \n",
       "L 4200 1584 \n",
       "Q 4200 1106 3975 731 \n",
       "Q 3750 356 3342 140 \n",
       "Q 2934 -75 2384 -75 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Inter-Regular-c5\" d=\"M 1156 4656 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "L 563 4656 \n",
       "L 1156 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Inter-Regular-54\" d=\"M 2016 0 \n",
       "L 563 0 \n",
       "L 563 4656 \n",
       "L 2075 4656 \n",
       "Q 2756 4656 3239 4378 \n",
       "Q 3722 4100 3980 3579 \n",
       "Q 4238 3059 4238 2338 \n",
       "Q 4238 1609 3978 1086 \n",
       "Q 3719 563 3222 281 \n",
       "Q 2725 0 2016 0 \n",
       "z\n",
       "M 1156 525 \n",
       "L 1978 525 \n",
       "Q 2828 525 3245 1008 \n",
       "Q 3663 1491 3663 2338 \n",
       "Q 3663 3178 3253 3654 \n",
       "Q 2844 4131 2034 4131 \n",
       "L 1156 4131 \n",
       "L 1156 525 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#Inter-Regular-18d\"/>\n",
       "     <use xlink:href=\"#Inter-Regular-17e\" transform=\"translate(64.15625 0)\"/>\n",
       "     <use xlink:href=\"#Inter-Regular-1a8\" transform=\"translate(140.625 0)\"/>\n",
       "     <use xlink:href=\"#Inter-Regular-c5\" transform=\"translate(215.046875 0)\"/>\n",
       "     <use xlink:href=\"#Inter-Regular-54\" transform=\"translate(241.90625 0)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_17\">\n",
       "    <!-- QPDK line geometry -->\n",
       "    <g transform=\"translate(98.432213 19.2) scale(0.12 -0.12)\">\n",
       "     <defs>\n",
       "      <path id=\"Outfit-Bold-4b\" d=\"M 2592 -77 \n",
       "Q 2086 -77 1651 102 \n",
       "Q 1216 282 893 602 \n",
       "Q 570 922 387 1347 \n",
       "Q 205 1773 205 2266 \n",
       "Q 205 2758 384 3184 \n",
       "Q 563 3610 886 3926 \n",
       "Q 1210 4243 1642 4419 \n",
       "Q 2074 4595 2579 4595 \n",
       "Q 3085 4595 3517 4419 \n",
       "Q 3949 4243 4272 3926 \n",
       "Q 4595 3610 4777 3184 \n",
       "Q 4960 2758 4960 2259 \n",
       "Q 4960 1869 4845 1520 \n",
       "Q 4730 1171 4525 883 \n",
       "L 5190 224 \n",
       "L 4608 -358 \n",
       "L 3930 314 \n",
       "Q 3648 128 3309 25 \n",
       "Q 2970 -77 2592 -77 \n",
       "z\n",
       "M 2579 838 \n",
       "Q 2950 838 3245 998 \n",
       "L 2496 1754 \n",
       "L 3078 2336 \n",
       "L 3802 1606 \n",
       "Q 3930 1901 3930 2266 \n",
       "Q 3930 2688 3760 3008 \n",
       "Q 3590 3328 3286 3504 \n",
       "Q 2982 3680 2579 3680 \n",
       "Q 2176 3680 1875 3504 \n",
       "Q 1574 3328 1404 3008 \n",
       "Q 1235 2688 1235 2266 \n",
       "Q 1235 1837 1404 1517 \n",
       "Q 1574 1197 1875 1017 \n",
       "Q 2176 838 2579 838 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-49\" d=\"M 435 0 \n",
       "L 435 4518 \n",
       "L 2323 4518 \n",
       "Q 2752 4518 3097 4342 \n",
       "Q 3443 4166 3644 3846 \n",
       "Q 3846 3526 3846 3085 \n",
       "Q 3846 2637 3644 2317 \n",
       "Q 3443 1997 3097 1821 \n",
       "Q 2752 1645 2323 1645 \n",
       "L 1440 1645 \n",
       "L 1440 0 \n",
       "L 435 0 \n",
       "z\n",
       "M 2176 3738 \n",
       "L 1440 3738 \n",
       "L 1440 2426 \n",
       "L 2176 2426 \n",
       "Q 2458 2426 2653 2598 \n",
       "Q 2848 2771 2848 3085 \n",
       "Q 2848 3392 2653 3565 \n",
       "Q 2458 3738 2176 3738 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-13\" d=\"M 435 0 \n",
       "L 435 4518 \n",
       "L 2246 4518 \n",
       "Q 2752 4518 3187 4352 \n",
       "Q 3622 4186 3942 3885 \n",
       "Q 4262 3584 4441 3171 \n",
       "Q 4621 2758 4621 2259 \n",
       "Q 4621 1766 4441 1350 \n",
       "Q 4262 934 3942 633 \n",
       "Q 3622 333 3193 166 \n",
       "Q 2765 0 2259 0 \n",
       "L 435 0 \n",
       "z\n",
       "M 2234 3642 \n",
       "L 1440 3642 \n",
       "L 1440 883 \n",
       "L 2234 883 \n",
       "Q 2848 883 3219 1248 \n",
       "Q 3590 1613 3590 2266 \n",
       "Q 3590 2912 3216 3277 \n",
       "Q 2842 3642 2234 3642 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-31\" d=\"M 435 0 \n",
       "L 435 4518 \n",
       "L 1440 4518 \n",
       "L 1440 2483 \n",
       "L 3110 4518 \n",
       "L 4352 4518 \n",
       "L 2522 2368 \n",
       "L 4416 0 \n",
       "L 3168 0 \n",
       "L 1440 2221 \n",
       "L 1440 0 \n",
       "L 435 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-12f\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-aa\" d=\"M 346 0 \n",
       "L 346 4646 \n",
       "L 1325 4646 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-9c\" d=\"M 838 3539 \n",
       "Q 608 3539 457 3696 \n",
       "Q 307 3853 307 4077 \n",
       "Q 307 4301 457 4457 \n",
       "Q 608 4614 838 4614 \n",
       "Q 1069 4614 1216 4457 \n",
       "Q 1363 4301 1363 4077 \n",
       "Q 1363 3853 1216 3696 \n",
       "Q 1069 3539 838 3539 \n",
       "z\n",
       "M 346 0 \n",
       "L 346 3110 \n",
       "L 1325 3110 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-b0\" d=\"M 346 0 \n",
       "L 346 3110 \n",
       "L 1325 3110 \n",
       "L 1325 2861 \n",
       "Q 1670 3174 2195 3174 \n",
       "Q 2534 3174 2803 3011 \n",
       "Q 3072 2848 3225 2579 \n",
       "Q 3379 2310 3379 1990 \n",
       "L 3379 0 \n",
       "L 2400 0 \n",
       "L 2400 1773 \n",
       "Q 2400 2016 2249 2166 \n",
       "Q 2099 2317 1869 2317 \n",
       "Q 1632 2317 1478 2166 \n",
       "Q 1325 2016 1325 1773 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-8c\" d=\"M 1882 -70 \n",
       "Q 1376 -70 982 138 \n",
       "Q 589 346 365 714 \n",
       "Q 141 1082 141 1555 \n",
       "Q 141 2022 361 2387 \n",
       "Q 582 2752 960 2966 \n",
       "Q 1338 3181 1811 3181 \n",
       "Q 2266 3181 2621 2979 \n",
       "Q 2976 2778 3177 2429 \n",
       "Q 3379 2080 3379 1626 \n",
       "Q 3379 1453 3334 1235 \n",
       "L 1107 1229 \n",
       "Q 1184 966 1382 825 \n",
       "Q 1581 685 1875 685 \n",
       "Q 2342 685 2618 1005 \n",
       "L 3155 467 \n",
       "Q 2925 198 2598 64 \n",
       "Q 2272 -70 1882 -70 \n",
       "z\n",
       "M 1818 2432 \n",
       "Q 1549 2432 1363 2291 \n",
       "Q 1178 2150 1107 1901 \n",
       "L 2464 1907 \n",
       "Q 2342 2432 1818 2432 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-96\" d=\"M 1619 96 \n",
       "Q 1190 96 857 301 \n",
       "Q 525 506 333 854 \n",
       "Q 141 1203 141 1638 \n",
       "Q 141 2074 333 2419 \n",
       "Q 525 2765 857 2969 \n",
       "Q 1190 3174 1619 3174 \n",
       "Q 1856 3174 2064 3104 \n",
       "Q 2272 3034 2432 2899 \n",
       "L 2432 3110 \n",
       "L 3392 3110 \n",
       "L 3392 186 \n",
       "Q 3392 -294 3168 -649 \n",
       "Q 2944 -1005 2553 -1200 \n",
       "Q 2163 -1395 1664 -1395 \n",
       "Q 1152 -1395 765 -1219 \n",
       "Q 378 -1043 154 -723 \n",
       "L 755 -122 \n",
       "Q 922 -320 1130 -422 \n",
       "Q 1338 -525 1632 -525 \n",
       "Q 1997 -525 2205 -345 \n",
       "Q 2413 -166 2413 160 \n",
       "L 2413 358 \n",
       "Q 2259 237 2054 166 \n",
       "Q 1850 96 1619 96 \n",
       "z\n",
       "M 1805 966 \n",
       "Q 2112 966 2291 1158 \n",
       "Q 2470 1350 2470 1638 \n",
       "Q 2470 1926 2291 2121 \n",
       "Q 2112 2317 1805 2317 \n",
       "Q 1498 2317 1315 2118 \n",
       "Q 1133 1920 1133 1638 \n",
       "Q 1133 1363 1315 1164 \n",
       "Q 1498 966 1805 966 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-b6\" d=\"M 1843 -70 \n",
       "Q 1363 -70 976 144 \n",
       "Q 589 358 365 729 \n",
       "Q 141 1101 141 1562 \n",
       "Q 141 2022 365 2387 \n",
       "Q 589 2752 973 2966 \n",
       "Q 1357 3181 1843 3181 \n",
       "Q 2323 3181 2710 2969 \n",
       "Q 3098 2758 3322 2390 \n",
       "Q 3546 2022 3546 1562 \n",
       "Q 3546 1101 3322 729 \n",
       "Q 3098 358 2714 144 \n",
       "Q 2330 -70 1843 -70 \n",
       "z\n",
       "M 1843 819 \n",
       "Q 2157 819 2352 1024 \n",
       "Q 2547 1229 2547 1562 \n",
       "Q 2547 1888 2348 2089 \n",
       "Q 2150 2291 1843 2291 \n",
       "Q 1530 2291 1334 2086 \n",
       "Q 1139 1882 1139 1555 \n",
       "Q 1139 1229 1334 1024 \n",
       "Q 1530 819 1843 819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-af\" d=\"M 346 0 \n",
       "L 346 3110 \n",
       "L 1325 3110 \n",
       "L 1325 2880 \n",
       "Q 1658 3174 2163 3174 \n",
       "Q 2739 3174 3072 2752 \n",
       "Q 3437 3174 4064 3174 \n",
       "Q 4416 3174 4697 3024 \n",
       "Q 4979 2874 5142 2595 \n",
       "Q 5306 2317 5306 1926 \n",
       "L 5306 0 \n",
       "L 4326 0 \n",
       "L 4326 1818 \n",
       "Q 4326 2048 4182 2182 \n",
       "Q 4038 2317 3827 2317 \n",
       "Q 3603 2317 3459 2182 \n",
       "Q 3315 2048 3315 1818 \n",
       "L 3315 0 \n",
       "L 2336 0 \n",
       "L 2336 1818 \n",
       "Q 2336 2048 2192 2182 \n",
       "Q 2048 2317 1837 2317 \n",
       "Q 1613 2317 1469 2182 \n",
       "Q 1325 2048 1325 1818 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-cd\" d=\"M 787 0 \n",
       "L 787 2278 \n",
       "L 83 2278 \n",
       "L 83 3110 \n",
       "L 787 3110 \n",
       "L 787 4397 \n",
       "L 1766 4397 \n",
       "L 1766 3110 \n",
       "L 2470 3110 \n",
       "L 2470 2278 \n",
       "L 1766 2278 \n",
       "L 1766 0 \n",
       "L 787 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-c3\" d=\"M 346 0 \n",
       "L 346 3110 \n",
       "L 1325 3110 \n",
       "L 1325 2874 \n",
       "Q 1632 3174 2125 3174 \n",
       "Q 2566 3174 2816 2899 \n",
       "L 2234 2163 \n",
       "Q 2170 2234 2077 2272 \n",
       "Q 1984 2310 1856 2310 \n",
       "Q 1613 2310 1469 2160 \n",
       "Q 1325 2010 1325 1709 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-e1\" d=\"M 506 -1312 \n",
       "L 1210 211 \n",
       "L 26 3110 \n",
       "L 1082 3110 \n",
       "L 1702 1216 \n",
       "L 2336 3110 \n",
       "L 3392 3110 \n",
       "L 2061 -13 \n",
       "L 1510 -1312 \n",
       "L 506 -1312 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#Outfit-Bold-4b\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-49\" transform=\"translate(82.5 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-13\" transform=\"translate(144.59375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-31\" transform=\"translate(220 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-12f\" transform=\"translate(287.703125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-aa\" transform=\"translate(306.703125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-9c\" transform=\"translate(332.796875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-b0\" transform=\"translate(358.890625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-8c\" transform=\"translate(416.09375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-12f\" transform=\"translate(470.890625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-96\" transform=\"translate(489.890625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-8c\" transform=\"translate(548.296875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-b6\" transform=\"translate(603.09375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-af\" transform=\"translate(660.6875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-8c\" transform=\"translate(747.984375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-cd\" transform=\"translate(801.78125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-c3\" transform=\"translate(841.6875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-e1\" transform=\"translate(884 0)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 68.70957 162.470801 \n",
       "L 88.70957 162.470801 \n",
       "L 88.70957 155.470801 \n",
       "L 68.70957 155.470801 \n",
       "z\n",
       "\" style=\"fill: #ff7f0e\"/>\n",
       "    </g>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- Etch -->\n",
       "     <g transform=\"translate(96.70957 162.470801) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-5f\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 3400 4656 \n",
       "L 3400 4131 \n",
       "L 1156 4131 \n",
       "L 1156 2613 \n",
       "L 3247 2613 \n",
       "L 3247 2088 \n",
       "L 1156 2088 \n",
       "L 1156 525 \n",
       "L 3428 525 \n",
       "L 3428 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-379\" d=\"M 1869 3494 \n",
       "L 1869 3013 \n",
       "L 1150 3013 \n",
       "L 1150 906 \n",
       "Q 1150 672 1245 564 \n",
       "Q 1341 456 1563 456 \n",
       "Q 1616 456 1698 468 \n",
       "Q 1781 481 1850 494 \n",
       "L 1966 19 \n",
       "Q 1878 -13 1767 -28 \n",
       "Q 1656 -44 1547 -44 \n",
       "Q 1094 -44 841 195 \n",
       "Q 588 434 588 863 \n",
       "L 588 3013 \n",
       "L 63 3013 \n",
       "L 63 3494 \n",
       "L 588 3494 \n",
       "L 588 4325 \n",
       "L 1150 4325 \n",
       "L 1150 3494 \n",
       "L 1869 3494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-24a\" d=\"M 1916 -75 \n",
       "Q 1441 -75 1083 150 \n",
       "Q 725 375 525 781 \n",
       "Q 325 1188 325 1725 \n",
       "Q 325 2272 525 2680 \n",
       "Q 725 3088 1083 3313 \n",
       "Q 1441 3538 1916 3538 \n",
       "Q 2422 3538 2805 3283 \n",
       "Q 3188 3028 3331 2572 \n",
       "L 2791 2419 \n",
       "Q 2713 2688 2486 2861 \n",
       "Q 2259 3034 1916 3034 \n",
       "Q 1566 3034 1341 2851 \n",
       "Q 1116 2669 1006 2372 \n",
       "Q 897 2075 897 1725 \n",
       "Q 897 1381 1006 1086 \n",
       "Q 1116 791 1341 609 \n",
       "Q 1566 428 1916 428 \n",
       "Q 2269 428 2498 608 \n",
       "Q 2728 788 2806 1072 \n",
       "L 3344 919 \n",
       "Q 3203 453 2815 189 \n",
       "Q 2428 -75 1916 -75 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-29e\" d=\"M 1056 2094 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 4656 \n",
       "L 1056 4656 \n",
       "L 1056 2888 \n",
       "Q 1228 3238 1495 3388 \n",
       "Q 1763 3538 2106 3538 \n",
       "Q 2638 3538 2964 3209 \n",
       "Q 3291 2881 3291 2219 \n",
       "L 3291 0 \n",
       "L 2725 0 \n",
       "L 2725 2172 \n",
       "Q 2725 2575 2514 2803 \n",
       "Q 2303 3031 1938 3031 \n",
       "Q 1559 3031 1307 2786 \n",
       "Q 1056 2541 1056 2094 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-5f\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(60.109375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-24a\" transform=\"translate(91.859375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-29e\" transform=\"translate(148.984375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_8\">\n",
       "     <path d=\"M 68.70957 179.57041 \n",
       "L 88.70957 179.57041 \n",
       "L 88.70957 172.57041 \n",
       "L 68.70957 172.57041 \n",
       "z\n",
       "\" style=\"fill: #1f77b4\"/>\n",
       "    </g>\n",
       "    <g id=\"text_19\">\n",
       "     <!-- Metal -->\n",
       "     <g transform=\"translate(96.70957 179.57041) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-124\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 1406 4656 \n",
       "L 2553 1719 \n",
       "Q 2619 1550 2716 1247 \n",
       "Q 2813 944 2897 659 \n",
       "Q 2978 934 3075 1239 \n",
       "Q 3172 1544 3241 1719 \n",
       "L 4372 4656 \n",
       "L 5219 4656 \n",
       "L 5219 0 \n",
       "L 4634 0 \n",
       "L 4634 2659 \n",
       "Q 4634 2916 4640 3287 \n",
       "Q 4647 3659 4656 4022 \n",
       "Q 4528 3622 4398 3244 \n",
       "Q 4269 2866 4188 2659 \n",
       "L 3147 0 \n",
       "L 2631 0 \n",
       "L 1575 2659 \n",
       "Q 1497 2856 1370 3229 \n",
       "Q 1244 3603 1106 4013 \n",
       "Q 1113 3681 1120 3304 \n",
       "Q 1128 2928 1128 2659 \n",
       "L 1128 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-1fb\" d=\"M 1472 -81 \n",
       "Q 1141 -81 870 44 \n",
       "Q 600 169 440 409 \n",
       "Q 281 650 281 994 \n",
       "Q 281 1294 400 1481 \n",
       "Q 519 1669 717 1776 \n",
       "Q 916 1884 1156 1937 \n",
       "Q 1397 1991 1641 2022 \n",
       "Q 1953 2063 2150 2084 \n",
       "Q 2347 2106 2442 2159 \n",
       "Q 2538 2213 2538 2341 \n",
       "L 2538 2359 \n",
       "Q 2538 2684 2353 2864 \n",
       "Q 2169 3044 1806 3044 \n",
       "Q 1428 3044 1215 2880 \n",
       "Q 1003 2716 922 2531 \n",
       "L 381 2709 \n",
       "Q 516 3028 744 3208 \n",
       "Q 972 3388 1247 3463 \n",
       "Q 1522 3538 1791 3538 \n",
       "Q 1966 3538 2189 3495 \n",
       "Q 2413 3453 2620 3328 \n",
       "Q 2828 3203 2964 2958 \n",
       "Q 3100 2713 3100 2303 \n",
       "L 3100 0 \n",
       "L 2547 0 \n",
       "L 2547 475 \n",
       "L 2509 475 \n",
       "Q 2450 353 2319 223 \n",
       "Q 2188 94 1978 6 \n",
       "Q 1769 -81 1472 -81 \n",
       "z\n",
       "M 1569 416 \n",
       "Q 1881 416 2097 537 \n",
       "Q 2313 659 2425 854 \n",
       "Q 2538 1050 2538 1263 \n",
       "L 2538 1747 \n",
       "Q 2503 1706 2387 1673 \n",
       "Q 2272 1641 2123 1616 \n",
       "Q 1975 1591 1836 1573 \n",
       "Q 1697 1556 1616 1547 \n",
       "Q 1413 1522 1236 1461 \n",
       "Q 1059 1400 953 1283 \n",
       "Q 847 1166 847 966 \n",
       "Q 847 694 1051 555 \n",
       "Q 1256 416 1569 416 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-124\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(90.328125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(148.625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(181.828125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(237.984375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"table_1\">\n",
       "    <g id=\"patch_9\">\n",
       "     <path d=\"M 276.013673 111.986971 \n",
       "L 410.001803 111.986971 \n",
       "L 410.001803 89.828596 \n",
       "L 276.013673 89.828596 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_20\">\n",
       "     <!-- Input -->\n",
       "     <g transform=\"translate(331.056957 104.545479) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-305\" d=\"M 1056 2094 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 3494 \n",
       "L 1034 3494 \n",
       "L 1038 2847 \n",
       "Q 1206 3219 1479 3378 \n",
       "Q 1753 3538 2106 3538 \n",
       "Q 2638 3538 2963 3209 \n",
       "Q 3288 2881 3288 2219 \n",
       "L 3288 0 \n",
       "L 2725 0 \n",
       "L 2725 2172 \n",
       "Q 2725 2575 2514 2803 \n",
       "Q 2303 3031 1938 3031 \n",
       "Q 1559 3031 1307 2786 \n",
       "Q 1056 2541 1056 2094 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-c5\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(26.859375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-34b\" transform=\"translate(85.9375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(147.171875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(206.296875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_10\">\n",
       "     <path d=\"M 410.001803 111.986971 \n",
       "L 543.989933 111.986971 \n",
       "L 543.989933 89.828596 \n",
       "L 410.001803 89.828596 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_21\">\n",
       "     <!-- Value -->\n",
       "     <g transform=\"translate(463.909931 104.545479) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-1c8\" d=\"M 1875 0 \n",
       "L 163 4656 \n",
       "L 788 4656 \n",
       "L 1772 1894 \n",
       "Q 1850 1678 1961 1329 \n",
       "Q 2072 981 2219 481 \n",
       "Q 2366 994 2477 1336 \n",
       "Q 2588 1678 2663 1894 \n",
       "L 3622 4656 \n",
       "L 4253 4656 \n",
       "L 2559 0 \n",
       "L 1875 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-1c8\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(63.921875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(120.078125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(144.296875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(203.421875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_11\">\n",
       "     <path d=\"M 276.013673 134.145347 \n",
       "L 410.001803 134.145347 \n",
       "L 410.001803 111.986971 \n",
       "L 276.013673 111.986971 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_22\">\n",
       "     <!-- Cross-section -->\n",
       "     <g transform=\"translate(330.12799 126.703854) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-367\" d=\"M 1681 -75 \n",
       "Q 1144 -75 787 159 \n",
       "Q 431 394 338 847 \n",
       "L 872 975 \n",
       "Q 947 688 1155 553 \n",
       "Q 1363 419 1675 419 \n",
       "Q 2041 419 2258 575 \n",
       "Q 2475 731 2475 947 \n",
       "Q 2475 1306 1963 1428 \n",
       "L 1381 1566 \n",
       "Q 444 1788 444 2519 \n",
       "Q 444 2819 612 3048 \n",
       "Q 781 3278 1073 3408 \n",
       "Q 1366 3538 1738 3538 \n",
       "Q 2278 3538 2576 3302 \n",
       "Q 2875 3066 2994 2697 \n",
       "L 2484 2566 \n",
       "Q 2413 2753 2245 2906 \n",
       "Q 2078 3059 1741 3059 \n",
       "Q 1428 3059 1220 2915 \n",
       "Q 1013 2772 1013 2553 \n",
       "Q 1013 2359 1153 2242 \n",
       "Q 1294 2125 1600 2053 \n",
       "L 2128 1928 \n",
       "Q 2603 1816 2831 1580 \n",
       "Q 3059 1344 3059 984 \n",
       "Q 3059 678 2886 439 \n",
       "Q 2713 200 2402 62 \n",
       "Q 2091 -75 1681 -75 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-5b3\" d=\"M 2494 2247 \n",
       "L 2494 1728 \n",
       "L 450 1728 \n",
       "L 450 2247 \n",
       "L 2494 2247 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2b1\" d=\"M 494 0 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "z\n",
       "M 778 4066 \n",
       "Q 619 4066 503 4175 \n",
       "Q 387 4284 387 4438 \n",
       "Q 387 4594 503 4701 \n",
       "Q 619 4809 778 4809 \n",
       "Q 940 4809 1056 4701 \n",
       "Q 1172 4594 1172 4438 \n",
       "Q 1172 4284 1056 4175 \n",
       "Q 940 4066 778 4066 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-49\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-354\" transform=\"translate(73.046875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(109.03125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-367\" transform=\"translate(169 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-367\" transform=\"translate(221.78125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5b3\" transform=\"translate(274.5625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-367\" transform=\"translate(320.5625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(373.34375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-24a\" transform=\"translate(431.640625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(488.765625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(521.484375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(545.703125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(605.671875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_12\">\n",
       "     <path d=\"M 410.001803 134.145347 \n",
       "L 543.989933 134.145347 \n",
       "L 543.989933 111.986971 \n",
       "L 410.001803 111.986971 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_23\">\n",
       "     <!-- cpw -->\n",
       "     <g transform=\"translate(510.752058 126.703854) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-3d8\" d=\"M 1278 0 \n",
       "L 219 3494 \n",
       "L 816 3494 \n",
       "L 1241 1969 \n",
       "Q 1316 1697 1403 1358 \n",
       "Q 1491 1019 1575 603 \n",
       "Q 1659 1003 1742 1340 \n",
       "Q 1825 1678 1906 1969 \n",
       "L 2325 3494 \n",
       "L 2925 3494 \n",
       "L 3338 1969 \n",
       "Q 3413 1688 3495 1352 \n",
       "Q 3578 1016 3659 613 \n",
       "Q 3747 1013 3833 1348 \n",
       "Q 3919 1684 3997 1969 \n",
       "L 4422 3494 \n",
       "L 5019 3494 \n",
       "L 3959 0 \n",
       "L 3400 0 \n",
       "L 2947 1581 \n",
       "Q 2859 1881 2779 2200 \n",
       "Q 2700 2519 2619 2853 \n",
       "Q 2541 2519 2458 2197 \n",
       "Q 2375 1875 2291 1581 \n",
       "L 1838 0 \n",
       "L 1278 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-24a\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-34b\" transform=\"translate(57.125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3d8\" transform=\"translate(116.546875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_13\">\n",
       "     <path d=\"M 276.013673 156.303722 \n",
       "L 410.001803 156.303722 \n",
       "L 410.001803 134.145347 \n",
       "L 276.013673 134.145347 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_24\">\n",
       "     <!-- Length (µm) -->\n",
       "     <g transform=\"translate(339.168615 148.86223) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-119\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 1156 4656 \n",
       "L 1156 525 \n",
       "L 3313 525 \n",
       "L 3313 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-292\" d=\"M 1909 -1381 \n",
       "Q 1328 -1381 981 -1168 \n",
       "Q 634 -956 472 -669 \n",
       "L 928 -375 \n",
       "Q 1003 -475 1114 -597 \n",
       "Q 1225 -719 1414 -805 \n",
       "Q 1603 -891 1909 -891 \n",
       "Q 2328 -891 2598 -691 \n",
       "Q 2869 -491 2869 -59 \n",
       "L 2869 641 \n",
       "L 2816 641 \n",
       "Q 2756 541 2648 403 \n",
       "Q 2541 266 2339 161 \n",
       "Q 2138 56 1800 56 \n",
       "Q 1381 56 1047 254 \n",
       "Q 713 453 519 834 \n",
       "Q 325 1216 325 1763 \n",
       "Q 325 2303 515 2701 \n",
       "Q 706 3100 1042 3319 \n",
       "Q 1378 3538 1813 3538 \n",
       "Q 2150 3538 2351 3427 \n",
       "Q 2553 3316 2662 3172 \n",
       "Q 2772 3028 2831 2934 \n",
       "L 2884 2934 \n",
       "L 2884 3494 \n",
       "L 3431 3494 \n",
       "L 3431 -91 \n",
       "Q 3431 -541 3228 -827 \n",
       "Q 3025 -1113 2679 -1247 \n",
       "Q 2334 -1381 1909 -1381 \n",
       "z\n",
       "M 1894 556 \n",
       "Q 2369 556 2622 879 \n",
       "Q 2875 1203 2875 1775 \n",
       "Q 2875 2331 2626 2682 \n",
       "Q 2378 3034 1894 3034 \n",
       "Q 1563 3034 1341 2864 \n",
       "Q 1119 2694 1008 2409 \n",
       "Q 897 2125 897 1775 \n",
       "Q 897 1238 1150 897 \n",
       "Q 1403 556 1894 556 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-119\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(56.546875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(114.84375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-292\" transform=\"translate(173.921875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(235.25 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-29e\" transform=\"translate(267.96875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(327.09375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(355.21875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-397\" transform=\"translate(391.6875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2fe\" transform=\"translate(450.28125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(537.875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_14\">\n",
       "     <path d=\"M 410.001803 156.303722 \n",
       "L 543.989933 156.303722 \n",
       "L 543.989933 134.145347 \n",
       "L 410.001803 134.145347 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_25\">\n",
       "     <!-- 4680.000 -->\n",
       "     <g transform=\"translate(484.131745 148.86223) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-5de\" d=\"M 922 -41 \n",
       "Q 747 -41 623 82 \n",
       "Q 500 206 500 381 \n",
       "Q 500 556 623 679 \n",
       "Q 747 803 922 803 \n",
       "Q 1097 803 1220 679 \n",
       "Q 1344 556 1344 381 \n",
       "Q 1344 206 1220 82 \n",
       "Q 1097 -41 922 -41 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-542\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(64.59375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(126.609375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(188.46875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(249.03125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(275.3125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(338.40625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(401.5 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_15\">\n",
       "     <path d=\"M 276.013673 178.462098 \n",
       "L 410.001803 178.462098 \n",
       "L 410.001803 156.303722 \n",
       "L 276.013673 156.303722 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_26\">\n",
       "     <!-- Strip width (µm) -->\n",
       "     <g transform=\"translate(320.90924 171.020605) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-255\" d=\"M 1803 -75 \n",
       "Q 1369 -75 1034 147 \n",
       "Q 700 369 512 775 \n",
       "Q 325 1181 325 1738 \n",
       "Q 325 2291 514 2695 \n",
       "Q 703 3100 1037 3319 \n",
       "Q 1372 3538 1806 3538 \n",
       "Q 2147 3538 2347 3425 \n",
       "Q 2547 3313 2655 3170 \n",
       "Q 2763 3028 2819 2934 \n",
       "L 2863 2934 \n",
       "L 2863 4656 \n",
       "L 3425 4656 \n",
       "L 3425 0 \n",
       "L 2881 0 \n",
       "L 2881 541 \n",
       "L 2819 541 \n",
       "Q 2763 444 2652 298 \n",
       "Q 2541 153 2339 39 \n",
       "Q 2138 -75 1803 -75 \n",
       "z\n",
       "M 1888 428 \n",
       "Q 2363 428 2616 793 \n",
       "Q 2869 1159 2869 1744 \n",
       "Q 2869 2322 2620 2678 \n",
       "Q 2372 3034 1888 3034 \n",
       "Q 1556 3034 1336 2862 \n",
       "Q 1116 2691 1006 2398 \n",
       "Q 897 2106 897 1744 \n",
       "Q 897 1378 1008 1079 \n",
       "Q 1119 781 1341 604 \n",
       "Q 1563 428 1888 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-18d\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(64.15625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-354\" transform=\"translate(96.875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(135.5 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-34b\" transform=\"translate(159.71875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(220.953125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3d8\" transform=\"translate(249.078125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(330.921875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-255\" transform=\"translate(355.140625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(417.84375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-29e\" transform=\"translate(450.5625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(509.6875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(537.8125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-397\" transform=\"translate(574.28125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2fe\" transform=\"translate(632.875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(720.46875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_16\">\n",
       "     <path d=\"M 410.001803 178.462098 \n",
       "L 543.989933 178.462098 \n",
       "L 543.989933 156.303722 \n",
       "L 410.001803 156.303722 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_27\">\n",
       "     <!-- 10 -->\n",
       "     <g transform=\"translate(520.214558 171.020605) scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#Inter-Regular-53e\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.671875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_17\">\n",
       "     <path d=\"M 276.013673 200.620474 \n",
       "L 410.001803 200.620474 \n",
       "L 410.001803 178.462098 \n",
       "L 276.013673 178.462098 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_28\">\n",
       "     <!-- Gap (µm) -->\n",
       "     <g transform=\"translate(352.67799 193.178981) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-8d\" d=\"M 2466 -63 \n",
       "Q 1844 -63 1375 228 \n",
       "Q 906 519 643 1055 \n",
       "Q 381 1591 381 2325 \n",
       "Q 381 3066 643 3602 \n",
       "Q 906 4138 1368 4428 \n",
       "Q 1831 4719 2428 4719 \n",
       "Q 2922 4719 3323 4526 \n",
       "Q 3725 4334 3990 3992 \n",
       "Q 4256 3650 4341 3197 \n",
       "L 3728 3197 \n",
       "Q 3584 3644 3254 3906 \n",
       "Q 2925 4169 2431 4169 \n",
       "Q 2022 4169 1687 3958 \n",
       "Q 1353 3747 1156 3336 \n",
       "Q 959 2925 959 2325 \n",
       "Q 959 1731 1157 1322 \n",
       "Q 1356 913 1697 700 \n",
       "Q 2038 488 2466 488 \n",
       "Q 2853 488 3150 650 \n",
       "Q 3447 813 3617 1113 \n",
       "Q 3788 1413 3794 1822 \n",
       "L 2588 1822 \n",
       "L 2588 2341 \n",
       "L 4375 2341 \n",
       "L 4375 1831 \n",
       "Q 4375 1253 4128 828 \n",
       "Q 3881 403 3451 170 \n",
       "Q 3022 -63 2466 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-8d\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(74.609375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-34b\" transform=\"translate(130.765625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(192 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(220.125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-397\" transform=\"translate(256.59375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2fe\" transform=\"translate(315.1875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(402.78125 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_18\">\n",
       "     <path d=\"M 410.001803 200.620474 \n",
       "L 543.989933 200.620474 \n",
       "L 543.989933 178.462098 \n",
       "L 410.001803 178.462098 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_29\">\n",
       "     <!-- 6 -->\n",
       "     <g transform=\"translate(524.389558 193.178981) scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#Inter-Regular-545\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_19\">\n",
       "     <path d=\"M 276.013673 222.778849 \n",
       "L 410.001803 222.778849 \n",
       "L 410.001803 200.620474 \n",
       "L 276.013673 200.620474 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_30\">\n",
       "     <!-- Impedance (Ω) -->\n",
       "     <g transform=\"translate(326.20924 215.337357) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-412\" d=\"M 394 0 \n",
       "L 394 522 \n",
       "L 1528 522 \n",
       "L 1528 753 \n",
       "Q 969 913 675 1398 \n",
       "Q 381 1884 381 2544 \n",
       "Q 381 3184 647 3673 \n",
       "Q 913 4163 1383 4441 \n",
       "Q 1853 4719 2463 4719 \n",
       "Q 3075 4719 3544 4441 \n",
       "Q 4013 4163 4280 3673 \n",
       "Q 4547 3184 4547 2544 \n",
       "Q 4547 1881 4251 1397 \n",
       "Q 3956 913 3400 753 \n",
       "L 3400 522 \n",
       "L 4534 522 \n",
       "L 4534 0 \n",
       "L 2859 0 \n",
       "L 2859 938 \n",
       "Q 3375 1075 3662 1489 \n",
       "Q 3950 1903 3950 2538 \n",
       "Q 3950 3047 3765 3411 \n",
       "Q 3581 3775 3247 3970 \n",
       "Q 2913 4166 2466 4166 \n",
       "Q 2016 4166 1681 3970 \n",
       "Q 1347 3775 1162 3411 \n",
       "Q 978 3047 978 2538 \n",
       "Q 978 1906 1264 1492 \n",
       "Q 1550 1078 2069 938 \n",
       "L 2069 0 \n",
       "L 394 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-c5\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2fe\" transform=\"translate(26.859375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-34b\" transform=\"translate(114.453125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(175.6875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-255\" transform=\"translate(233.984375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(295.21875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(351.375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-24a\" transform=\"translate(410.453125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(467.578125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(525.875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(554 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-412\" transform=\"translate(590.46875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(667.46875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_20\">\n",
       "     <path d=\"M 410.001803 222.778849 \n",
       "L 543.989933 222.778849 \n",
       "L 543.989933 200.620474 \n",
       "L 410.001803 200.620474 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_31\">\n",
       "     <!-- 49.313 -->\n",
       "     <g transform=\"translate(499.150495 215.337357) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-548\" d=\"M 1884 -63 \n",
       "Q 1488 -63 1178 93 \n",
       "Q 869 250 672 531 \n",
       "Q 475 813 419 1184 \n",
       "L 1006 1184 \n",
       "Q 1078 875 1297 669 \n",
       "Q 1516 463 1884 463 \n",
       "Q 2416 463 2723 927 \n",
       "Q 3031 1391 3031 2238 \n",
       "L 2994 2238 \n",
       "Q 2806 1953 2509 1784 \n",
       "Q 2213 1616 1847 1616 \n",
       "Q 1447 1616 1112 1814 \n",
       "Q 778 2013 579 2361 \n",
       "Q 381 2709 381 3156 \n",
       "Q 381 3591 578 3948 \n",
       "Q 775 4306 1129 4517 \n",
       "Q 1484 4728 1963 4719 \n",
       "Q 2250 4716 2537 4608 \n",
       "Q 2825 4500 3062 4253 \n",
       "Q 3300 4006 3444 3581 \n",
       "Q 3588 3156 3588 2513 \n",
       "Q 3588 1278 3131 607 \n",
       "Q 2675 -63 1884 -63 \n",
       "z\n",
       "M 1934 2134 \n",
       "Q 2219 2134 2447 2279 \n",
       "Q 2675 2425 2811 2662 \n",
       "Q 2947 2900 2947 3172 \n",
       "Q 2947 3441 2817 3673 \n",
       "Q 2688 3906 2464 4051 \n",
       "Q 2241 4197 1953 4197 \n",
       "Q 1672 4197 1448 4058 \n",
       "Q 1225 3919 1094 3683 \n",
       "Q 963 3447 963 3159 \n",
       "Q 963 2875 1089 2642 \n",
       "Q 1216 2409 1434 2271 \n",
       "Q 1653 2134 1934 2134 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-541\" d=\"M 1984 -63 \n",
       "Q 1528 -63 1175 93 \n",
       "Q 822 250 614 528 \n",
       "Q 406 806 391 1175 \n",
       "L 991 1175 \n",
       "Q 1016 844 1297 651 \n",
       "Q 1578 459 1975 459 \n",
       "Q 2413 459 2698 684 \n",
       "Q 2984 909 2984 1272 \n",
       "Q 2984 1650 2703 1889 \n",
       "Q 2422 2128 1903 2128 \n",
       "L 1525 2128 \n",
       "L 1525 2644 \n",
       "L 1903 2644 \n",
       "Q 2313 2644 2567 2861 \n",
       "Q 2822 3078 2822 3438 \n",
       "Q 2822 3784 2597 3993 \n",
       "Q 2372 4203 1991 4203 \n",
       "Q 1753 4203 1545 4117 \n",
       "Q 1338 4031 1205 3872 \n",
       "Q 1072 3713 1063 3484 \n",
       "L 491 3484 \n",
       "Q 503 3850 709 4128 \n",
       "Q 916 4406 1255 4562 \n",
       "Q 1594 4719 2003 4719 \n",
       "Q 2438 4719 2752 4544 \n",
       "Q 3066 4369 3234 4084 \n",
       "Q 3403 3800 3403 3469 \n",
       "Q 3403 3075 3195 2800 \n",
       "Q 2988 2525 2631 2419 \n",
       "L 2631 2381 \n",
       "Q 3078 2309 3325 2007 \n",
       "Q 3572 1706 3572 1266 \n",
       "Q 3572 884 3365 584 \n",
       "Q 3159 284 2800 110 \n",
       "Q 2441 -63 1984 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-542\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-548\" transform=\"translate(64.59375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(124.078125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-541\" transform=\"translate(150.203125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(211.96875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-541\" transform=\"translate(252.640625 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_21\">\n",
       "     <path d=\"M 276.013673 244.937225 \n",
       "L 410.001803 244.937225 \n",
       "L 410.001803 222.778849 \n",
       "L 276.013673 222.778849 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_32\">\n",
       "     <!-- Delay (ps) -->\n",
       "     <g transform=\"translate(348.537365 237.495732) scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#Inter-Regular-54\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(72.171875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(130.46875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(154.6875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3e6\" transform=\"translate(209.375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(265.578125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(293.703125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-34b\" transform=\"translate(330.171875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-367\" transform=\"translate(391.40625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(444.1875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_22\">\n",
       "     <path d=\"M 410.001803 244.937225 \n",
       "L 543.989933 244.937225 \n",
       "L 543.989933 222.778849 \n",
       "L 410.001803 222.778849 \n",
       "z\n",
       "\" style=\"fill: #ffffff; stroke: #000000; stroke-linejoin: miter\"/>\n",
       "    </g>\n",
       "    <g id=\"text_33\">\n",
       "     <!-- 38.446 -->\n",
       "     <g transform=\"translate(496.452058 237.495732) scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#Inter-Regular-541\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(61.765625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(121.375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-542\" transform=\"translate(150.1875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-542\" transform=\"translate(214.78125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(279.375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_34\">\n",
       "    <!-- Shared model inputs -->\n",
       "    <g transform=\"translate(353.883991 19.2) scale(0.12 -0.12)\">\n",
       "     <defs>\n",
       "      <path id=\"Outfit-Bold-50\" d=\"M 1792 -70 \n",
       "Q 1235 -70 832 109 \n",
       "Q 429 288 102 666 \n",
       "L 755 1312 \n",
       "Q 973 1056 1235 921 \n",
       "Q 1498 787 1856 787 \n",
       "Q 2176 787 2352 902 \n",
       "Q 2528 1018 2528 1222 \n",
       "Q 2528 1434 2374 1562 \n",
       "Q 2221 1690 1981 1776 \n",
       "Q 1741 1862 1469 1961 \n",
       "Q 1197 2061 953 2211 \n",
       "Q 710 2362 560 2611 \n",
       "Q 410 2861 410 3258 \n",
       "Q 410 3674 611 3971 \n",
       "Q 813 4269 1171 4429 \n",
       "Q 1530 4589 1997 4589 \n",
       "Q 2470 4589 2864 4419 \n",
       "Q 3258 4250 3514 3968 \n",
       "L 2861 3322 \n",
       "Q 2656 3533 2448 3635 \n",
       "Q 2240 3738 1978 3738 \n",
       "Q 1709 3738 1558 3638 \n",
       "Q 1408 3539 1408 3354 \n",
       "Q 1408 3155 1558 3040 \n",
       "Q 1709 2925 1952 2838 \n",
       "Q 2195 2752 2467 2653 \n",
       "Q 2739 2554 2979 2397 \n",
       "Q 3219 2240 3372 1981 \n",
       "Q 3526 1722 3526 1312 \n",
       "Q 3526 659 3065 294 \n",
       "Q 2605 -70 1792 -70 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-9a\" d=\"M 346 0 \n",
       "L 346 4646 \n",
       "L 1325 4646 \n",
       "L 1325 2880 \n",
       "Q 1658 3174 2163 3174 \n",
       "Q 2522 3174 2797 3024 \n",
       "Q 3072 2874 3225 2605 \n",
       "Q 3379 2336 3379 1990 \n",
       "L 3379 0 \n",
       "L 2400 0 \n",
       "L 2400 1773 \n",
       "Q 2400 2016 2249 2166 \n",
       "Q 2099 2317 1869 2317 \n",
       "Q 1632 2317 1478 2166 \n",
       "Q 1325 2016 1325 1773 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-76\" d=\"M 1645 -64 \n",
       "Q 1216 -64 880 147 \n",
       "Q 544 358 349 723 \n",
       "Q 154 1088 154 1555 \n",
       "Q 154 2016 349 2384 \n",
       "Q 544 2752 880 2963 \n",
       "Q 1216 3174 1645 3174 \n",
       "Q 1901 3174 2121 3088 \n",
       "Q 2342 3002 2502 2854 \n",
       "L 2502 3110 \n",
       "L 3462 3110 \n",
       "L 3462 0 \n",
       "L 2502 0 \n",
       "L 2502 256 \n",
       "Q 2342 102 2121 19 \n",
       "Q 1901 -64 1645 -64 \n",
       "z\n",
       "M 1843 819 \n",
       "Q 2157 819 2349 1024 \n",
       "Q 2541 1229 2541 1555 \n",
       "Q 2541 1882 2349 2086 \n",
       "Q 2157 2291 1850 2291 \n",
       "Q 1542 2291 1344 2083 \n",
       "Q 1146 1875 1146 1555 \n",
       "Q 1146 1229 1341 1024 \n",
       "Q 1536 819 1843 819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-88\" d=\"M 1670 -64 \n",
       "Q 1229 -64 886 147 \n",
       "Q 544 358 349 723 \n",
       "Q 154 1088 154 1555 \n",
       "Q 154 2016 349 2384 \n",
       "Q 544 2752 886 2963 \n",
       "Q 1229 3174 1670 3174 \n",
       "Q 1907 3174 2115 3104 \n",
       "Q 2323 3034 2483 2912 \n",
       "L 2483 4646 \n",
       "L 3462 4646 \n",
       "L 3462 0 \n",
       "L 2502 0 \n",
       "L 2502 224 \n",
       "Q 2336 90 2125 13 \n",
       "Q 1914 -64 1670 -64 \n",
       "z\n",
       "M 1843 819 \n",
       "Q 2157 819 2349 1024 \n",
       "Q 2541 1229 2541 1555 \n",
       "Q 2541 1882 2349 2086 \n",
       "Q 2157 2291 1850 2291 \n",
       "Q 1542 2291 1344 2083 \n",
       "Q 1146 1875 1146 1555 \n",
       "Q 1146 1229 1341 1024 \n",
       "Q 1536 819 1843 819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-c0\" d=\"M 346 -1312 \n",
       "L 346 3110 \n",
       "L 1325 3110 \n",
       "L 1325 2893 \n",
       "Q 1485 3027 1693 3100 \n",
       "Q 1901 3174 2138 3174 \n",
       "Q 2579 3174 2921 2963 \n",
       "Q 3264 2752 3459 2384 \n",
       "Q 3654 2016 3654 1555 \n",
       "Q 3654 1088 3459 723 \n",
       "Q 3264 358 2921 147 \n",
       "Q 2579 -64 2138 -64 \n",
       "Q 1894 -64 1683 9 \n",
       "Q 1472 83 1312 211 \n",
       "L 1312 -1312 \n",
       "L 346 -1312 \n",
       "z\n",
       "M 1965 819 \n",
       "Q 2272 819 2467 1027 \n",
       "Q 2662 1235 2662 1555 \n",
       "Q 2662 1882 2467 2086 \n",
       "Q 2272 2291 1965 2291 \n",
       "Q 1651 2291 1459 2086 \n",
       "Q 1267 1882 1267 1555 \n",
       "Q 1267 1229 1459 1024 \n",
       "Q 1651 819 1965 819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-d0\" d=\"M 1728 -70 \n",
       "Q 1299 -70 969 106 \n",
       "Q 640 282 454 592 \n",
       "Q 269 902 269 1312 \n",
       "L 269 3110 \n",
       "L 1248 3110 \n",
       "L 1248 1318 \n",
       "Q 1248 1075 1376 937 \n",
       "Q 1504 800 1728 800 \n",
       "Q 1946 800 2074 937 \n",
       "Q 2202 1075 2202 1318 \n",
       "L 2202 3110 \n",
       "L 3181 3110 \n",
       "L 3181 1312 \n",
       "Q 3181 902 2995 588 \n",
       "Q 2810 275 2483 102 \n",
       "Q 2157 -70 1728 -70 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-c7\" d=\"M 1478 -77 \n",
       "Q 1062 -77 678 76 \n",
       "Q 294 230 58 499 \n",
       "L 614 1062 \n",
       "Q 934 710 1440 710 \n",
       "Q 1798 710 1798 902 \n",
       "Q 1798 1018 1686 1078 \n",
       "Q 1574 1139 1401 1184 \n",
       "Q 1229 1229 1037 1289 \n",
       "Q 845 1350 672 1452 \n",
       "Q 499 1555 390 1734 \n",
       "Q 282 1914 282 2202 \n",
       "Q 282 2643 618 2921 \n",
       "Q 954 3200 1530 3200 \n",
       "Q 1926 3200 2262 3062 \n",
       "Q 2598 2925 2810 2656 \n",
       "L 2253 2093 \n",
       "Q 2106 2266 1923 2336 \n",
       "Q 1741 2406 1568 2406 \n",
       "Q 1235 2406 1235 2221 \n",
       "Q 1235 2118 1344 2064 \n",
       "Q 1453 2010 1625 1962 \n",
       "Q 1798 1914 1990 1853 \n",
       "Q 2182 1792 2352 1683 \n",
       "Q 2522 1574 2634 1388 \n",
       "Q 2746 1203 2746 915 \n",
       "Q 2746 454 2403 188 \n",
       "Q 2061 -77 1478 -77 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#Outfit-Bold-50\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-9a\" transform=\"translate(58.296875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-76\" transform=\"translate(115.5 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-c3\" transform=\"translate(175 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-8c\" transform=\"translate(216.3125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-88\" transform=\"translate(271.109375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-12f\" transform=\"translate(330.609375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-af\" transform=\"translate(349.609375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-b6\" transform=\"translate(436.90625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-88\" transform=\"translate(494.5 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-8c\" transform=\"translate(554 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-aa\" transform=\"translate(608.796875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-12f\" transform=\"translate(634.890625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-9c\" transform=\"translate(653.890625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-b0\" transform=\"translate(679.984375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-c0\" transform=\"translate(737.1875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-d0\" transform=\"translate(796.6875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-cd\" transform=\"translate(850.59375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-c7\" transform=\"translate(889.5 0)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pac0d9a5e5e\">\n",
       "   <rect x=\"61.20957\" y=\"25.2\" width=\"186.934036\" height=\"284.36582\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 800x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "LINE_CROSS_SECTION = \"cpw\"\n",
    "line_layout = resonator(\n",
    "    length=4680.0,\n",
    "    meanders=6,\n",
    "    cross_section=LINE_CROSS_SECTION,\n",
    "    open_start=False,\n",
    "    open_end=False,\n",
    ")\n",
    "LENGTH = float(line_layout.info[\"length\"])\n",
    "C_COUPLING = 20e-15\n",
    "width, gap = get_cpw_dimensions(LINE_CROSS_SECTION)\n",
    "h_sub, t_metal, ep_r, _ = get_cpw_substrate_params()\n",
    "z0_line, td_line = cpw_tline_params(LENGTH, cross_section=LINE_CROSS_SECTION)\n",
    "logger.info(\n",
    "    \"Layout length {} µm, Z0 {:.4f} Ω, delay {:.4f} ps\", LENGTH, z0_line, td_line * 1e12\n",
    ")\n",
    "\n",
    "fig, (ax_layout, ax_values) = plt.subplots(\n",
    "    1, 2, figsize=(8, 5), gridspec_kw={\"width_ratios\": [1, 1.2]}\n",
    ")\n",
    "polygons = line_layout.get_polygons_points(by=\"name\")\n",
    "for layer_name, color, label in (\n",
    "    (\"M1_ETCH\", \"C1\", \"Etch\"),\n",
    "    (\"M1_DRAW\", \"C0\", \"Metal\"),\n",
    "):\n",
    "    ax_layout.add_collection(\n",
    "        PolyCollection(\n",
    "            polygons[layer_name], facecolor=color, edgecolor=\"none\", label=label\n",
    "        )\n",
    "    )\n",
    "for port_name, label in ((\"o1\", \"Coupler\"), (\"o2\", \"SQUID\")):\n",
    "    port = line_layout.ports[port_name]\n",
    "    ax_layout.annotate(\n",
    "        label, port.center, xytext=(0, 12), textcoords=\"offset points\", ha=\"center\"\n",
    "    )\n",
    "ax_layout.autoscale_view()\n",
    "ax_layout.margins(0.25, 0.08)\n",
    "ax_layout.set_aspect(\"equal\")\n",
    "ax_layout.set(xlabel=\"x (µm)\", ylabel=\"y (µm)\", title=\"QPDK line geometry\")\n",
    "ax_layout.legend(loc=\"center left\", bbox_to_anchor=(0, 0.5))\n",
    "ax_values.axis(\"off\")\n",
    "parameters = [\n",
    "    [\"Cross-section\", LINE_CROSS_SECTION],\n",
    "    [\"Length (µm)\", f\"{LENGTH:.3f}\"],\n",
    "    [\"Strip width (µm)\", f\"{width:g}\"],\n",
    "    [\"Gap (µm)\", f\"{gap:g}\"],\n",
    "    [\"Impedance (Ω)\", f\"{z0_line:.3f}\"],\n",
    "    [\"Delay (ps)\", f\"{td_line * 1e12:.3f}\"],\n",
    "]\n",
    "parameter_table = ax_values.table(\n",
    "    cellText=parameters, colLabels=[\"Input\", \"Value\"], loc=\"center\"\n",
    ")\n",
    "parameter_table.auto_set_font_size(False)\n",
    "parameter_table.set_fontsize(10)\n",
    "parameter_table.scale(1, 1.8)\n",
    "ax_values.set_title(\"Shared model inputs\")\n",
    "fig.tight_layout()\n",
    "show_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "315ff891",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "## A distributed line and a rational fit\n",
    "\n",
    "- **Route A**: an ideal `tline_ideal` with $Z_0$ and delay from\n",
    "  {func}`~qpdk.simulation.vacask.cpw_tline_params`. This is exact for a\n",
    "  lossless TEM line.\n",
    "- **Route B**: a rational fit of any linear SAX model by\n",
    "  {func}`~qpdk.simulation.vacask.vector_fit` (vector fitting with passivity\n",
    "  enforcement {cite:p}`gustavsenRationalApproximationFrequency1999`),\n",
    "  emitted by {func}`~qpdk.simulation.vacask.vector_fit_subckt`.\n",
    "\n",
    "Both are compared with SAX after renormalizing to 50 Ω through ABCD matrices\n",
    "{cite:p}`m.pozarMicrowaveEngineering2012`. The loss tangent is zero, so all\n",
    "three describe the same lossless line.\n",
    "\n",
    "The line comparison and the fit check answer different questions. The CPW\n",
    "dispersion comes from the SAX coplanar-waveguide model\n",
    "{cite:p}`gopplCoplanarWaveguideResonators2008a`. The rational fit tests only\n",
    "how well Route B reproduces that model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1c6e2ef2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:41.118198Z",
     "iopub.status.busy": "2026-10-21T07:06:41.118141Z",
     "iopub.status.idle": "2026-10-21T07:06:41.737257Z",
     "shell.execute_reply": "2026-10-21T07:06:41.736953Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<runtime> RuntimeWarning: divide by zero encountered in matmul\n",
      "  prod_neg = np.matmul(np.matmul(B, inv_neg), C)\n",
      "<runtime> RuntimeWarning: overflow encountered in matmul\n",
      "  prod_neg = np.matmul(np.matmul(B, inv_neg), C)\n",
      "<runtime> RuntimeWarning: invalid value encountered in matmul\n",
      "  prod_neg = np.matmul(np.matmul(B, inv_neg), C)\n",
      "<runtime> RuntimeWarning: divide by zero encountered in matmul\n",
      "  prod_pos = np.matmul(np.matmul(B, inv_pos), C)\n",
      "<runtime> RuntimeWarning: overflow encountered in matmul\n",
      "  prod_pos = np.matmul(np.matmul(B, inv_pos), C)\n",
      "<runtime> RuntimeWarning: invalid value encountered in matmul\n",
      "  prod_pos = np.matmul(np.matmul(B, inv_pos), C)\n",
      "<runtime> RuntimeWarning: divide by zero encountered in matmul\n",
      "  P = np.matmul(A - prod_neg, A - prod_pos)\n",
      "<runtime> RuntimeWarning: overflow encountered in matmul\n",
      "  P = np.matmul(A - prod_neg, A - prod_pos)\n",
      "<runtime> RuntimeWarning: invalid value encountered in matmul\n",
      "  P = np.matmul(A - prod_neg, A - prod_pos)\n",
      "<runtime> UserWarning: The fitted network is passive, but the vector fit is not passive. Consider running `passivity_enforce()` to enforce passivity before using this model.\n",
      "  vf.vector_fit(n_poles_real=n_poles_real, n_poles_cmplx=n_poles_cmplx)\n",
      "<runtime> UserWarning: Passivity enforcement: The dc point in the model is not passive. Cannot preserve the dc point during passivity enforcement. \n",
      "  vf.passivity_enforce(n_samples=n_samples, f_max=float(f.max()))\n",
      "\u001b[32m2026-10-21 10:06:41.699\u001b[0m | \u001b[1mINFO    \u001b[0m | \u001b[36mqpdk.simulation.vacask.network\u001b[0m:\u001b[36mvector_fit\u001b[0m:\u001b[36m169\u001b[0m - \u001b[1mVector fit: 11 poles, RMS error 2.37e-03\u001b[0m\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rational fit: 11 poles, max |ΔS| = 2.3e-03, 0.6 s\n"
     ]
    }
   ],
   "source": [
    "def s_to_abcd(s: jax.Array, z0: float) -> jax.Array:\n",
    "    \"\"\"ABCD matrices of two-port S-matrices ``(..., 2, 2)`` referenced to ``z0``.\n",
    "\n",
    "    Standard S-to-ABCD conversion :cite:p:`m.pozarMicrowaveEngineering2012`.\n",
    "\n",
    "    Returns:\n",
    "        ABCD matrices with the same leading axes as the input.\n",
    "    \"\"\"\n",
    "    s11, s12, s21, s22 = s[..., 0, 0], s[..., 0, 1], s[..., 1, 0], s[..., 1, 1]\n",
    "    a = ((1 + s11) * (1 - s22) + s12 * s21) / (2 * s21)\n",
    "    b = z0 * ((1 + s11) * (1 + s22) - s12 * s21) / (2 * s21)\n",
    "    c = ((1 - s11) * (1 - s22) - s12 * s21) / (2 * s21 * z0)\n",
    "    d = ((1 - s11) * (1 + s22) + s12 * s21) / (2 * s21)\n",
    "    return jnp.stack([jnp.stack([a, b], -1), jnp.stack([c, d], -1)], -2)\n",
    "\n",
    "\n",
    "def abcd_to_s(abcd: jax.Array, z0: float) -> jax.Array:\n",
    "    \"\"\"Two-port S-matrices of ABCD matrices, referenced to ``z0``.\n",
    "\n",
    "    Standard ABCD-to-S conversion :cite:p:`m.pozarMicrowaveEngineering2012`.\n",
    "\n",
    "    Returns:\n",
    "        Two-port S-matrices with the same leading axes as the input.\n",
    "    \"\"\"\n",
    "    a, b, c, d = abcd[..., 0, 0], abcd[..., 0, 1], abcd[..., 1, 0], abcd[..., 1, 1]\n",
    "    den = a + b / z0 + c * z0 + d\n",
    "    s11 = (a + b / z0 - c * z0 - d) / den\n",
    "    s12 = 2 * (a * d - b * c) / den\n",
    "    s22 = (-a + b / z0 - c * z0 + d) / den\n",
    "    return jnp.stack([jnp.stack([s11, s12], -1), jnp.stack([2 / den, s22], -1)], -2)\n",
    "\n",
    "\n",
    "def coupled_line_abcd(f: jax.Array) -> jax.Array:\n",
    "    \"\"\"ABCD matrix of the coupling capacitor followed by the CPW.\n",
    "\n",
    "    The line is the SAX coplanar-waveguide model\n",
    "    :cite:p:`gopplCoplanarWaveguideResonators2008a`. The coupling capacitor is\n",
    "    a series impedance.\n",
    "\n",
    "    Returns:\n",
    "        ABCD matrices of the series coupling capacitor and line.\n",
    "    \"\"\"\n",
    "    line = rf.coplanar_waveguide(\n",
    "        f=f,\n",
    "        length=LENGTH,\n",
    "        width=width,\n",
    "        gap=gap,\n",
    "        thickness=t_metal,\n",
    "        substrate_thickness=h_sub,\n",
    "        ep_r=ep_r,\n",
    "        tand=0.0,\n",
    "    )\n",
    "    s = jnp.stack(\n",
    "        [\n",
    "            jnp.stack([line[\"o1\", \"o1\"], line[\"o1\", \"o2\"]], -1),\n",
    "            jnp.stack([line[\"o2\", \"o1\"], line[\"o2\", \"o2\"]], -1),\n",
    "        ],\n",
    "        -2,\n",
    "    )\n",
    "    one, zero = jnp.ones_like(f), jnp.zeros_like(f)\n",
    "    z_cap = 1 / (2j * jnp.pi * f * C_COUPLING)\n",
    "    abcd_cap = jnp.stack([jnp.stack([one, z_cap], -1), jnp.stack([zero, one], -1)], -2)\n",
    "    return abcd_cap @ s_to_abcd(s, z0_line)\n",
    "\n",
    "\n",
    "def coupled_line_sdict(f: jax.Array) -> dict:\n",
    "    \"\"\"50 Ω S-parameters of the coupling capacitor followed by the CPW.\"\"\"\n",
    "    s = abcd_to_s(coupled_line_abcd(f), R_PORT)\n",
    "    return {(f\"o{i + 1}\", f\"o{j + 1}\"): s[:, i, j] for i in range(2) for j in range(2)}\n",
    "\n",
    "\n",
    "f_fit = jnp.linspace(10e6, 70e9, 3500)\n",
    "start = time.perf_counter()\n",
    "fit = vector_fit(coupled_line_sdict(f_fit), f_fit, ports=[\"o1\", \"o2\"])\n",
    "reference_fit = coupled_line_sdict(f_fit)\n",
    "fit_error = max(\n",
    "    jnp.max(jnp.abs(fit.get_model_response(i, j, f_fit) - reference_fit[pi, pj]))\n",
    "    for i, pi in enumerate((\"o1\", \"o2\"))\n",
    "    for j, pj in enumerate((\"o1\", \"o2\"))\n",
    ")\n",
    "pole_count = 0 if fit.poles is None else len(fit.poles)\n",
    "print(\n",
    "    f\"rational fit: {pole_count} poles, max |ΔS| = {fit_error:.1e}, \"\n",
    "    f\"{time.perf_counter() - start:.1f} s\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30518fae",
   "metadata": {},
   "source": [
    "Route A is a hand-written subcircuit. Route B is generated. Both have\n",
    "terminals `p1` (port side) and `p2` (far end of the line).\n",
    "\n",
    "The check uses ACSP. It gives the cold multiport S-parameters at the fixed DC\n",
    "bias with small port excitations. No pump is solved."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6d892f19",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:41.738262Z",
     "iopub.status.busy": "2026-10-21T07:06:41.738216Z",
     "iopub.status.idle": "2026-10-21T07:06:41.746122Z",
     "shell.execute_reply": "2026-10-21T07:06:41.745848Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "// Rational model of ports o1, o2, 11 poles\n",
      "subckt ccline (p1 p2)\n",
      "  model vccs vccs\n",
      "  r1 (p1 0) resistor r=50\n",
      "  g2 (0 p1 b0 0) vccs gain=0.04\n",
      "  r3 (a0 0) resistor r=1\n",
      "  g4 (0 a0 p1 0) vccs gain=1\n",
      "  g5 (0 a0 b0 0) vccs gain=-1\n",
      "  r6 (b0 0) resistor r=1\n",
      "  r7 (p2 0) resistor r=50\n",
      "  g8 (0 p2 b1 0) vccs gain=0.04\n",
      "  r9 (a1 0) resistor r=1 \n",
      "...\n"
     ]
    }
   ],
   "source": [
    "ROUTE_A = f\"\"\"\n",
    "    subckt ccline (p1 p2)\n",
    "      cc (p1 1) capacitor c={C_COUPLING}\n",
    "      t1 (1 0 p2 0) tline_ideal z0={z0_line} td={td_line}\n",
    "    ends\n",
    "\"\"\"\n",
    "ROUTE_B = vector_fit_subckt(fit, \"ccline\")\n",
    "print(\"\\n\".join(ROUTE_B.splitlines()[:12]), \"\\n...\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "54688c12",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:41.746968Z",
     "iopub.status.busy": "2026-10-21T07:06:41.746923Z",
     "iopub.status.idle": "2026-10-21T07:06:42.568263Z",
     "shell.execute_reply": "2026-10-21T07:06:42.567927Z"
    },
    "tags": [
     "hide-input",
     "cpw-passive"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "s(1,1): Route A max|ΔS| = 8.0e-16, Route B max|ΔS| = 1.1e-03\n",
      "s(2,1): Route A max|ΔS| = 6.1e-16, Route B max|ΔS| = 1.2e-03\n",
      "s(2,2): Route A max|ΔS| = 3.8e-15, Route B max|ΔS| = 1.1e-03\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"712.56pt\" height=\"280.8pt\" viewBox=\"0 0 712.56 280.8\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2026-10-21T10:06:42.400136</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.11.1, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 280.8 \n",
       "L 712.56 280.8 \n",
       "L 712.56 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 50.70957 237.19082 \n",
       "L 337.614785 237.19082 \n",
       "L 337.614785 7.2 \n",
       "L 50.70957 7.2 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path d=\"M 73.359982 237.19082 \n",
       "L 73.359982 7.2 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path id=\"m2f89b3faaa\" d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"73.359982\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathdefault{2.5}$ -->\n",
       "      <g transform=\"translate(65.859982 253.87832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53f\" d=\"M 481 0 \n",
       "L 481 428 \n",
       "L 2028 2106 \n",
       "Q 2288 2388 2459 2600 \n",
       "Q 2631 2813 2718 3005 \n",
       "Q 2806 3197 2806 3413 \n",
       "Q 2806 3778 2554 3990 \n",
       "Q 2303 4203 1931 4203 \n",
       "Q 1534 4203 1298 3965 \n",
       "Q 1063 3728 1063 3334 \n",
       "L 494 3334 \n",
       "Q 494 3747 684 4059 \n",
       "Q 875 4372 1203 4545 \n",
       "Q 1531 4719 1947 4719 \n",
       "Q 2363 4719 2683 4545 \n",
       "Q 3003 4372 3186 4078 \n",
       "Q 3369 3784 3369 3419 \n",
       "Q 3369 3166 3278 2927 \n",
       "Q 3188 2688 2959 2384 \n",
       "Q 2731 2081 2319 1644 \n",
       "L 1300 559 \n",
       "L 1300 522 \n",
       "L 3447 522 \n",
       "L 3447 0 \n",
       "L 481 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-5de\" d=\"M 922 -41 \n",
       "Q 747 -41 623 82 \n",
       "Q 500 206 500 381 \n",
       "Q 500 556 623 679 \n",
       "Q 747 803 922 803 \n",
       "Q 1097 803 1220 679 \n",
       "Q 1344 556 1344 381 \n",
       "Q 1344 206 1220 82 \n",
       "Q 1097 -41 922 -41 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-543\" d=\"M 1863 -63 \n",
       "Q 1453 -63 1128 98 \n",
       "Q 803 259 609 539 \n",
       "Q 416 819 400 1175 \n",
       "L 975 1175 \n",
       "Q 1003 863 1258 661 \n",
       "Q 1513 459 1863 459 \n",
       "Q 2144 459 2364 590 \n",
       "Q 2584 722 2709 953 \n",
       "Q 2834 1184 2834 1478 \n",
       "Q 2834 1778 2703 2015 \n",
       "Q 2572 2253 2345 2389 \n",
       "Q 2119 2525 1825 2525 \n",
       "Q 1609 2525 1387 2456 \n",
       "Q 1166 2388 1028 2281 \n",
       "L 472 2350 \n",
       "L 747 4656 \n",
       "L 3197 4656 \n",
       "L 3197 4134 \n",
       "L 1247 4134 \n",
       "L 1088 2775 \n",
       "L 1113 2775 \n",
       "Q 1256 2894 1475 2970 \n",
       "Q 1694 3047 1934 3047 \n",
       "Q 2363 3047 2697 2845 \n",
       "Q 3031 2644 3223 2291 \n",
       "Q 3416 1938 3416 1488 \n",
       "Q 3416 1041 3214 691 \n",
       "Q 3013 341 2663 139 \n",
       "Q 2313 -63 1863 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(60.986328 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(89.794922 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path d=\"M 111.110668 237.19082 \n",
       "L 111.110668 7.2 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"111.110668\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathdefault{5.0}$ -->\n",
       "      <g transform=\"translate(103.510668 253.87832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53d\" d=\"M 2019 -63 \n",
       "Q 1241 -63 811 562 \n",
       "Q 381 1188 381 2325 \n",
       "Q 381 3456 814 4087 \n",
       "Q 1247 4719 2019 4719 \n",
       "Q 2794 4719 3225 4087 \n",
       "Q 3656 3456 3656 2325 \n",
       "Q 3656 1188 3228 562 \n",
       "Q 2800 -63 2019 -63 \n",
       "z\n",
       "M 2019 456 \n",
       "Q 2531 456 2807 948 \n",
       "Q 3084 1441 3084 2325 \n",
       "Q 3084 3216 2807 3709 \n",
       "Q 2531 4203 2019 4203 \n",
       "Q 1509 4203 1231 3708 \n",
       "Q 953 3213 953 2325 \n",
       "Q 953 1441 1231 948 \n",
       "Q 1509 456 2019 456 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(88.134766 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path d=\"M 148.861354 237.19082 \n",
       "L 148.861354 7.2 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"148.861354\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathdefault{7.5}$ -->\n",
       "      <g transform=\"translate(141.611354 253.87832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-546\" d=\"M 625 0 \n",
       "L 2694 4097 \n",
       "L 2694 4134 \n",
       "L 306 4134 \n",
       "L 306 4656 \n",
       "L 3316 4656 \n",
       "L 3316 4103 \n",
       "L 1250 0 \n",
       "L 625 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(0 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(56.591797 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(85.400391 0.25)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path d=\"M 186.612041 237.19082 \n",
       "L 186.612041 7.2 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"186.612041\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathdefault{10.0}$ -->\n",
       "      <g transform=\"translate(176.812041 253.87832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53e\" d=\"M 2041 4656 \n",
       "L 2041 0 \n",
       "L 1456 0 \n",
       "L 1456 4106 \n",
       "L 1425 4106 \n",
       "L 300 3272 \n",
       "L 300 3909 \n",
       "L 1313 4656 \n",
       "L 2041 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(103.759766 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(132.568359 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path d=\"M 224.362727 237.19082 \n",
       "L 224.362727 7.2 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"224.362727\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathdefault{12.5}$ -->\n",
       "      <g transform=\"translate(214.862727 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(101.660156 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(130.46875 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path d=\"M 262.113413 237.19082 \n",
       "L 262.113413 7.2 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"262.113413\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathdefault{15.0}$ -->\n",
       "      <g transform=\"translate(252.513413 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(100 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(128.808594 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path d=\"M 299.864099 237.19082 \n",
       "L 299.864099 7.2 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"299.864099\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathdefault{17.5}$ -->\n",
       "      <g transform=\"translate(290.564099 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(40.673828 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(97.265625 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(126.074219 0.25)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path d=\"M 337.614785 237.19082 \n",
       "L 337.614785 7.2 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"337.614785\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathdefault{20.0}$ -->\n",
       "      <g transform=\"translate(326.814785 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(60.986328 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(124.072266 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(152.880859 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_9\">\n",
       "     <!-- Frequency (GHz) -->\n",
       "     <g transform=\"translate(149.903506 270.94668) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-89\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 3378 4656 \n",
       "L 3378 4131 \n",
       "L 1156 4131 \n",
       "L 1156 2538 \n",
       "L 3166 2538 \n",
       "L 3166 2013 \n",
       "L 1156 2013 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-354\" d=\"M 494 0 \n",
       "L 494 3494 \n",
       "L 1038 3494 \n",
       "L 1038 2956 \n",
       "L 1075 2956 \n",
       "Q 1172 3222 1420 3383 \n",
       "Q 1669 3544 1981 3544 \n",
       "Q 2044 3544 2130 3541 \n",
       "Q 2216 3538 2266 3534 \n",
       "L 2266 2969 \n",
       "Q 2241 2975 2141 2987 \n",
       "Q 2041 3000 1928 3000 \n",
       "Q 1550 3000 1303 2770 \n",
       "Q 1056 2541 1056 2188 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-266\" d=\"M 1963 -75 \n",
       "Q 1456 -75 1089 150 \n",
       "Q 722 375 523 778 \n",
       "Q 325 1181 325 1719 \n",
       "Q 325 2256 519 2665 \n",
       "Q 713 3075 1067 3306 \n",
       "Q 1422 3538 1897 3538 \n",
       "Q 2175 3538 2445 3445 \n",
       "Q 2716 3353 2936 3148 \n",
       "Q 3156 2944 3287 2609 \n",
       "Q 3419 2275 3419 1791 \n",
       "L 3419 1556 \n",
       "L 894 1556 \n",
       "Q 916 1009 1208 717 \n",
       "Q 1500 425 1966 425 \n",
       "Q 2275 425 2498 561 \n",
       "Q 2722 697 2819 963 \n",
       "L 3363 813 \n",
       "Q 3241 416 2870 170 \n",
       "Q 2500 -75 1963 -75 \n",
       "z\n",
       "M 897 2031 \n",
       "L 2847 2031 \n",
       "Q 2806 2478 2567 2758 \n",
       "Q 2328 3038 1897 3038 \n",
       "Q 1597 3038 1380 2897 \n",
       "Q 1163 2756 1038 2528 \n",
       "Q 913 2300 897 2031 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-351\" d=\"M 3425 -1306 \n",
       "L 2863 -1306 \n",
       "L 2863 541 \n",
       "L 2819 541 \n",
       "Q 2763 444 2652 298 \n",
       "Q 2541 153 2339 39 \n",
       "Q 2138 -75 1803 -75 \n",
       "Q 1369 -75 1034 147 \n",
       "Q 700 369 512 775 \n",
       "Q 325 1181 325 1738 \n",
       "Q 325 2291 514 2695 \n",
       "Q 703 3100 1037 3319 \n",
       "Q 1372 3538 1806 3538 \n",
       "Q 2147 3538 2347 3425 \n",
       "Q 2547 3313 2655 3170 \n",
       "Q 2763 3028 2819 2934 \n",
       "L 2881 2934 \n",
       "L 2881 3494 \n",
       "L 3425 3494 \n",
       "L 3425 -1306 \n",
       "z\n",
       "M 1888 428 \n",
       "Q 2363 428 2616 793 \n",
       "Q 2869 1159 2869 1744 \n",
       "Q 2869 2322 2620 2678 \n",
       "Q 2372 3034 1888 3034 \n",
       "Q 1556 3034 1336 2862 \n",
       "Q 1116 2691 1006 2398 \n",
       "Q 897 2106 897 1744 \n",
       "Q 897 1378 1008 1079 \n",
       "Q 1119 781 1341 604 \n",
       "Q 1563 428 1888 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-393\" d=\"M 1678 -44 \n",
       "Q 1150 -44 822 284 \n",
       "Q 494 613 494 1275 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 1322 \n",
       "Q 1056 919 1268 691 \n",
       "Q 1481 463 1847 463 \n",
       "Q 2222 463 2473 708 \n",
       "Q 2725 953 2725 1400 \n",
       "L 2725 3494 \n",
       "L 3291 3494 \n",
       "L 3291 0 \n",
       "L 2747 0 \n",
       "L 2747 653 \n",
       "Q 2575 272 2298 114 \n",
       "Q 2022 -44 1678 -44 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-305\" d=\"M 1056 2094 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 3494 \n",
       "L 1034 3494 \n",
       "L 1038 2847 \n",
       "Q 1206 3219 1479 3378 \n",
       "Q 1753 3538 2106 3538 \n",
       "Q 2638 3538 2963 3209 \n",
       "Q 3288 2881 3288 2219 \n",
       "L 3288 0 \n",
       "L 2725 0 \n",
       "L 2725 2172 \n",
       "Q 2725 2575 2514 2803 \n",
       "Q 2303 3031 1938 3031 \n",
       "Q 1559 3031 1307 2786 \n",
       "Q 1056 2541 1056 2094 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-24a\" d=\"M 1916 -75 \n",
       "Q 1441 -75 1083 150 \n",
       "Q 725 375 525 781 \n",
       "Q 325 1188 325 1725 \n",
       "Q 325 2272 525 2680 \n",
       "Q 725 3088 1083 3313 \n",
       "Q 1441 3538 1916 3538 \n",
       "Q 2422 3538 2805 3283 \n",
       "Q 3188 3028 3331 2572 \n",
       "L 2791 2419 \n",
       "Q 2713 2688 2486 2861 \n",
       "Q 2259 3034 1916 3034 \n",
       "Q 1566 3034 1341 2851 \n",
       "Q 1116 2669 1006 2372 \n",
       "Q 897 2075 897 1725 \n",
       "Q 897 1381 1006 1086 \n",
       "Q 1116 791 1341 609 \n",
       "Q 1566 428 1916 428 \n",
       "Q 2269 428 2498 608 \n",
       "Q 2728 788 2806 1072 \n",
       "L 3344 919 \n",
       "Q 3203 453 2815 189 \n",
       "Q 2428 -75 1916 -75 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-3e6\" d=\"M 438 -1266 \n",
       "L 581 -778 \n",
       "L 641 -794 \n",
       "Q 900 -863 1087 -773 \n",
       "Q 1275 -684 1403 -309 \n",
       "L 1503 -19 \n",
       "L 169 3494 \n",
       "L 784 3494 \n",
       "L 1528 1422 \n",
       "Q 1609 1194 1673 969 \n",
       "Q 1738 744 1797 525 \n",
       "Q 1856 744 1920 969 \n",
       "Q 1984 1194 2066 1422 \n",
       "L 2816 3494 \n",
       "L 3428 3494 \n",
       "L 1894 -522 \n",
       "Q 1734 -938 1478 -1134 \n",
       "Q 1222 -1331 850 -1331 \n",
       "Q 700 -1331 590 -1309 \n",
       "Q 481 -1288 438 -1266 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-6f1\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-5a6\" d=\"M 681 2191 \n",
       "Q 681 2700 786 3258 \n",
       "Q 891 3816 1072 4333 \n",
       "Q 1253 4850 1488 5235 \n",
       "L 2034 5235 \n",
       "Q 1794 4744 1617 4213 \n",
       "Q 1441 3682 1347 3164 \n",
       "Q 1253 2647 1253 2191 \n",
       "Q 1253 1569 1442 911 \n",
       "Q 1631 253 2034 -578 \n",
       "L 1488 -578 \n",
       "Q 1091 100 886 803 \n",
       "Q 681 1507 681 2191 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-8d\" d=\"M 2466 -63 \n",
       "Q 1844 -63 1375 228 \n",
       "Q 906 519 643 1055 \n",
       "Q 381 1591 381 2325 \n",
       "Q 381 3066 643 3602 \n",
       "Q 906 4138 1368 4428 \n",
       "Q 1831 4719 2428 4719 \n",
       "Q 2922 4719 3323 4526 \n",
       "Q 3725 4334 3990 3992 \n",
       "Q 4256 3650 4341 3197 \n",
       "L 3728 3197 \n",
       "Q 3584 3644 3254 3906 \n",
       "Q 2925 4169 2431 4169 \n",
       "Q 2022 4169 1687 3958 \n",
       "Q 1353 3747 1156 3336 \n",
       "Q 959 2925 959 2325 \n",
       "Q 959 1731 1157 1322 \n",
       "Q 1356 913 1697 700 \n",
       "Q 2038 488 2466 488 \n",
       "Q 2853 488 3150 650 \n",
       "Q 3447 813 3617 1113 \n",
       "Q 3788 1413 3794 1822 \n",
       "L 2588 1822 \n",
       "L 2588 2341 \n",
       "L 4375 2341 \n",
       "L 4375 1831 \n",
       "Q 4375 1253 4128 828 \n",
       "Q 3881 403 3451 170 \n",
       "Q 3022 -63 2466 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-a1\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 1156 4656 \n",
       "L 1156 2644 \n",
       "L 3600 2644 \n",
       "L 3600 4656 \n",
       "L 4194 4656 \n",
       "L 4194 0 \n",
       "L 3600 0 \n",
       "L 3600 2119 \n",
       "L 1156 2119 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-3fe\" d=\"M 394 0 \n",
       "L 394 419 \n",
       "L 2353 2938 \n",
       "L 2353 2972 \n",
       "L 456 2972 \n",
       "L 456 3494 \n",
       "L 3078 3494 \n",
       "L 3078 3047 \n",
       "L 1175 556 \n",
       "L 1175 522 \n",
       "L 3141 522 \n",
       "L 3141 0 \n",
       "L 394 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-5a7\" d=\"M 300 -578 \n",
       "Q 716 278 898 933 \n",
       "Q 1081 1588 1081 2191 \n",
       "Q 1081 2647 987 3164 \n",
       "Q 894 3682 719 4213 \n",
       "Q 544 4744 300 5235 \n",
       "L 847 5235 \n",
       "Q 1081 4850 1264 4333 \n",
       "Q 1447 3816 1550 3256 \n",
       "Q 1653 2697 1653 2191 \n",
       "Q 1653 1494 1445 791 \n",
       "Q 1238 88 847 -578 \n",
       "L 300 -578 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-89\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-354\" transform=\"translate(56.109375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(92.09375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-351\" transform=\"translate(150.390625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(211.625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(270.75 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(329.046875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-24a\" transform=\"translate(388.125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3e6\" transform=\"translate(443.296875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(499.5 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5a6\" transform=\"translate(527.625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-8d\" transform=\"translate(564.09375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-a1\" transform=\"translate(638.703125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3fe\" transform=\"translate(713.015625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5a7\" transform=\"translate(768.234375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path d=\"M 50.70957 202.092588 \n",
       "L 337.614785 202.092588 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <defs>\n",
       "       <path id=\"m61b6f0b9c9\" d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"50.70957\" y=\"202.092588\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- $\\mathdefault{−35}$ -->\n",
       "      <g transform=\"translate(24.90957 206.936338) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-5f3\" d=\"M 3584 2091 \n",
       "L 3584 1553 \n",
       "L 656 1553 \n",
       "L 656 2091 \n",
       "L 3584 2091 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-541\" d=\"M 1984 -63 \n",
       "Q 1528 -63 1175 93 \n",
       "Q 822 250 614 528 \n",
       "Q 406 806 391 1175 \n",
       "L 991 1175 \n",
       "Q 1016 844 1297 651 \n",
       "Q 1578 459 1975 459 \n",
       "Q 2413 459 2698 684 \n",
       "Q 2984 909 2984 1272 \n",
       "Q 2984 1650 2703 1889 \n",
       "Q 2422 2128 1903 2128 \n",
       "L 1525 2128 \n",
       "L 1525 2644 \n",
       "L 1903 2644 \n",
       "Q 2313 2644 2567 2861 \n",
       "Q 2822 3078 2822 3438 \n",
       "Q 2822 3784 2597 3993 \n",
       "Q 2372 4203 1991 4203 \n",
       "Q 1753 4203 1545 4117 \n",
       "Q 1338 4031 1205 3872 \n",
       "Q 1072 3713 1063 3484 \n",
       "L 491 3484 \n",
       "Q 503 3850 709 4128 \n",
       "Q 916 4406 1255 4562 \n",
       "Q 1594 4719 2003 4719 \n",
       "Q 2438 4719 2752 4544 \n",
       "Q 3066 4369 3234 4084 \n",
       "Q 3403 3800 3403 3469 \n",
       "Q 3403 3075 3195 2800 \n",
       "Q 2988 2525 2631 2419 \n",
       "L 2631 2381 \n",
       "Q 3078 2309 3325 2007 \n",
       "Q 3572 1706 3572 1266 \n",
       "Q 3572 884 3365 584 \n",
       "Q 3159 284 2800 110 \n",
       "Q 2441 -63 1984 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-541\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(127.929688 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path d=\"M 50.70957 161.342461 \n",
       "L 337.614785 161.342461 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"50.70957\" y=\"161.342461\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- $\\mathdefault{−30}$ -->\n",
       "      <g transform=\"translate(24.50957 166.186211) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-541\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(127.929688 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path d=\"M 50.70957 120.592335 \n",
       "L 337.614785 120.592335 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"50.70957\" y=\"120.592335\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- $\\mathdefault{−25}$ -->\n",
       "      <g transform=\"translate(25.00957 125.436085) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(127.148438 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path d=\"M 50.70957 79.842208 \n",
       "L 337.614785 79.842208 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"50.70957\" y=\"79.842208\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- $\\mathdefault{−20}$ -->\n",
       "      <g transform=\"translate(24.60957 84.685958) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(127.148438 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path d=\"M 50.70957 39.092081 \n",
       "L 337.614785 39.092081 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"50.70957\" y=\"39.092081\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- $\\mathdefault{−15}$ -->\n",
       "      <g transform=\"translate(27.00957 43.935831) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(66.162109 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(106.835938 0.25)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_15\">\n",
       "     <!-- $|S_{21}|$ (dB) -->\n",
       "     <g transform=\"translate(17.85625 146.61541) rotate(-90) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"FiraMath-Regular-5d\" d=\"M 1555 4774 \n",
       "L 1024 4774 \n",
       "L 1024 -1190 \n",
       "L 1555 -1190 \n",
       "L 1555 4774 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-34\" d=\"M 1728 4486 \n",
       "C 915 4486 339 4013 339 3334 \n",
       "C 339 2650 787 2323 1645 2061 \n",
       "C 2394 1830 2598 1638 2598 1210 \n",
       "C 2598 678 2170 422 1651 422 \n",
       "C 1171 422 826 595 493 864 \n",
       "L 160 493 \n",
       "C 525 134 1024 -77 1658 -77 \n",
       "C 2650 -77 3232 461 3232 1229 \n",
       "C 3232 2074 2630 2349 1926 2566 \n",
       "C 1133 2810 960 2989 960 3360 \n",
       "C 960 3782 1312 3987 1754 3987 \n",
       "C 2118 3987 2426 3872 2758 3603 \n",
       "L 3091 3974 \n",
       "C 2720 4307 2336 4486 1728 4486 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-13\" d=\"M 1651 4486 \n",
       "C 1043 4486 634 4269 288 3840 \n",
       "L 685 3533 \n",
       "C 960 3859 1197 4000 1619 4000 \n",
       "C 2099 4000 2387 3706 2387 3226 \n",
       "C 2387 2528 2016 2042 378 467 \n",
       "L 378 0 \n",
       "L 3034 0 \n",
       "L 3104 493 \n",
       "L 1050 493 \n",
       "C 2490 1805 3002 2451 3002 3251 \n",
       "C 3002 3949 2502 4486 1651 4486 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-12\" d=\"M 1766 0 \n",
       "L 2355 0 \n",
       "L 2355 4410 \n",
       "L 1837 4410 \n",
       "L 512 3590 \n",
       "L 768 3174 \n",
       "L 1766 3782 \n",
       "L 1766 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-59d\" d=\"M 681 1897 \n",
       "Q 681 2406 786 2964 \n",
       "Q 891 3522 1072 4039 \n",
       "Q 1253 4556 1488 4941 \n",
       "L 2034 4941 \n",
       "Q 1794 4450 1617 3919 \n",
       "Q 1441 3388 1347 2870 \n",
       "Q 1253 2353 1253 1897 \n",
       "Q 1253 1275 1442 617 \n",
       "Q 1631 -41 2034 -872 \n",
       "L 1488 -872 \n",
       "Q 1091 -194 886 509 \n",
       "Q 681 1213 681 1897 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-255\" d=\"M 1803 -75 \n",
       "Q 1369 -75 1034 147 \n",
       "Q 700 369 512 775 \n",
       "Q 325 1181 325 1738 \n",
       "Q 325 2291 514 2695 \n",
       "Q 703 3100 1037 3319 \n",
       "Q 1372 3538 1806 3538 \n",
       "Q 2147 3538 2347 3425 \n",
       "Q 2547 3313 2655 3170 \n",
       "Q 2763 3028 2819 2934 \n",
       "L 2863 2934 \n",
       "L 2863 4656 \n",
       "L 3425 4656 \n",
       "L 3425 0 \n",
       "L 2881 0 \n",
       "L 2881 541 \n",
       "L 2819 541 \n",
       "Q 2763 444 2652 298 \n",
       "Q 2541 153 2339 39 \n",
       "Q 2138 -75 1803 -75 \n",
       "z\n",
       "M 1888 428 \n",
       "Q 2363 428 2616 793 \n",
       "Q 2869 1159 2869 1744 \n",
       "Q 2869 2322 2620 2678 \n",
       "Q 2372 3034 1888 3034 \n",
       "Q 1556 3034 1336 2862 \n",
       "Q 1116 2691 1006 2398 \n",
       "Q 897 2106 897 1744 \n",
       "Q 897 1378 1008 1079 \n",
       "Q 1119 781 1341 604 \n",
       "Q 1563 428 1888 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-41\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 2213 4656 \n",
       "Q 2700 4656 3017 4489 \n",
       "Q 3334 4322 3489 4042 \n",
       "Q 3644 3763 3644 3422 \n",
       "Q 3644 3122 3537 2926 \n",
       "Q 3431 2731 3257 2615 \n",
       "Q 3084 2500 2881 2444 \n",
       "L 2881 2400 \n",
       "Q 3100 2388 3317 2250 \n",
       "Q 3534 2113 3679 1859 \n",
       "Q 3825 1606 3825 1241 \n",
       "Q 3825 891 3664 609 \n",
       "Q 3503 328 3159 164 \n",
       "Q 2816 0 2266 0 \n",
       "L 563 0 \n",
       "z\n",
       "M 1156 525 \n",
       "L 2250 525 \n",
       "Q 2794 525 3023 734 \n",
       "Q 3253 944 3253 1247 \n",
       "Q 3253 1481 3134 1678 \n",
       "Q 3016 1875 2798 1994 \n",
       "Q 2581 2113 2281 2113 \n",
       "L 1156 2113 \n",
       "L 1156 525 \n",
       "z\n",
       "M 1156 2613 \n",
       "L 2181 2613 \n",
       "Q 2556 2613 2815 2831 \n",
       "Q 3075 3050 3075 3409 \n",
       "Q 3075 3713 2864 3922 \n",
       "Q 2653 4131 2200 4131 \n",
       "L 1156 4131 \n",
       "L 1156 2613 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-59e\" d=\"M 300 -872 \n",
       "Q 716 -16 898 639 \n",
       "Q 1081 1294 1081 1897 \n",
       "Q 1081 2353 987 2870 \n",
       "Q 894 3388 719 3919 \n",
       "Q 544 4450 300 4941 \n",
       "L 847 4941 \n",
       "Q 1081 4556 1264 4039 \n",
       "Q 1447 3522 1550 2962 \n",
       "Q 1653 2403 1653 1897 \n",
       "Q 1653 1200 1445 497 \n",
       "Q 1238 -206 847 -872 \n",
       "L 300 -872 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#FiraMath-Regular-5d\" transform=\"translate(0 0.796875)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-34\" transform=\"translate(40.299957 0.796875)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-13\" transform=\"translate(94.799911 -15.014062) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-12\" transform=\"translate(133.999879 -15.014062) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-5d\" transform=\"translate(175.835004 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(216.134961 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(244.259961 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-255\" transform=\"translate(280.73457 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-41\" transform=\"translate(341.965039 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(407.394727 0.796875)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_27\">\n",
       "    <path d=\"M 50.70957 226.736692 \n",
       "L 52.672606 218.102491 \n",
       "L 54.786644 209.855357 \n",
       "L 56.900683 202.475868 \n",
       "L 59.165724 195.346398 \n",
       "L 61.581768 188.46591 \n",
       "L 64.148815 181.829587 \n",
       "L 66.866864 175.430184 \n",
       "L 69.735916 169.258955 \n",
       "L 72.755971 163.30629 \n",
       "L 75.927029 157.56215 \n",
       "L 79.249089 152.016346 \n",
       "L 82.722152 146.658721 \n",
       "L 86.346218 141.479262 \n",
       "L 90.121287 136.468166 \n",
       "L 94.047358 131.615877 \n",
       "L 98.275435 126.744906 \n",
       "L 102.654514 122.036109 \n",
       "L 107.3356 117.330637 \n",
       "L 112.31869 112.644898 \n",
       "L 117.452783 108.120071 \n",
       "L 122.888882 103.620501 \n",
       "L 128.777989 99.040361 \n",
       "L 134.969102 94.512774 \n",
       "L 141.46222 90.040445 \n",
       "L 148.408346 85.530171 \n",
       "L 155.656478 81.089954 \n",
       "L 163.357618 76.63672 \n",
       "L 171.360763 72.268179 \n",
       "L 179.665914 67.989049 \n",
       "L 188.273071 63.80643 \n",
       "L 197.03123 59.796547 \n",
       "L 206.091395 55.894666 \n",
       "L 215.302562 52.170717 \n",
       "L 224.815735 48.567304 \n",
       "L 234.630913 45.090915 \n",
       "L 244.8991 41.694894 \n",
       "L 255.771298 38.338908 \n",
       "L 267.549512 34.942624 \n",
       "L 280.68675 31.393693 \n",
       "L 295.938028 27.511978 \n",
       "L 314.813371 22.94694 \n",
       "L 337.614785 17.654128 \n",
       "L 337.614785 17.654128 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_28\">\n",
       "    <path d=\"M 50.70957 226.736692 \n",
       "L 52.672606 218.102491 \n",
       "L 54.786644 209.855357 \n",
       "L 56.900683 202.475868 \n",
       "L 59.165724 195.346398 \n",
       "L 61.581768 188.46591 \n",
       "L 64.148815 181.829587 \n",
       "L 66.866864 175.430184 \n",
       "L 69.735916 169.258955 \n",
       "L 72.755971 163.30629 \n",
       "L 75.927029 157.56215 \n",
       "L 79.249089 152.016346 \n",
       "L 82.722152 146.658721 \n",
       "L 86.346218 141.479262 \n",
       "L 90.121287 136.468166 \n",
       "L 94.047358 131.615877 \n",
       "L 98.275435 126.744906 \n",
       "L 102.654514 122.036109 \n",
       "L 107.3356 117.330637 \n",
       "L 112.31869 112.644898 \n",
       "L 117.452783 108.120071 \n",
       "L 122.888882 103.620501 \n",
       "L 128.777989 99.040361 \n",
       "L 134.969102 94.512774 \n",
       "L 141.46222 90.040445 \n",
       "L 148.408346 85.530171 \n",
       "L 155.656478 81.089954 \n",
       "L 163.357618 76.63672 \n",
       "L 171.360763 72.268179 \n",
       "L 179.665914 67.989049 \n",
       "L 188.273071 63.80643 \n",
       "L 197.03123 59.796547 \n",
       "L 206.091395 55.894666 \n",
       "L 215.302562 52.170717 \n",
       "L 224.815735 48.567304 \n",
       "L 234.630913 45.090915 \n",
       "L 244.8991 41.694894 \n",
       "L 255.771298 38.338908 \n",
       "L 267.549512 34.942624 \n",
       "L 280.68675 31.393693 \n",
       "L 295.938028 27.511978 \n",
       "L 314.813371 22.94694 \n",
       "L 337.614785 17.654128 \n",
       "L 337.614785 17.654128 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #ff7f0e; stroke-width: 1.5\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_29\">\n",
       "    <path d=\"M 50.70957 225.42582 \n",
       "L 52.672606 216.796587 \n",
       "L 54.786644 208.555468 \n",
       "L 56.900683 201.182677 \n",
       "L 59.165724 194.061137 \n",
       "L 61.581768 187.189956 \n",
       "L 64.148815 180.564471 \n",
       "L 66.866864 174.177595 \n",
       "L 69.735916 168.020742 \n",
       "L 72.755971 162.084465 \n",
       "L 75.927029 156.358888 \n",
       "L 79.249089 150.833979 \n",
       "L 82.722152 145.499739 \n",
       "L 86.346218 140.346301 \n",
       "L 90.121287 135.363999 \n",
       "L 94.047358 130.543402 \n",
       "L 98.275435 125.708444 \n",
       "L 102.654514 121.03888 \n",
       "L 107.3356 116.37736 \n",
       "L 112.167687 111.876513 \n",
       "L 117.301781 107.395549 \n",
       "L 122.73788 102.945524 \n",
       "L 128.475984 98.534514 \n",
       "L 134.516094 94.168244 \n",
       "L 141.009212 89.750999 \n",
       "L 147.804335 85.396877 \n",
       "L 155.052467 81.018604 \n",
       "L 162.602604 76.716613 \n",
       "L 170.60575 72.414124 \n",
       "L 178.910901 68.202863 \n",
       "L 187.518057 64.088177 \n",
       "L 196.427219 60.07742 \n",
       "L 205.487384 56.241192 \n",
       "L 214.849554 52.51857 \n",
       "L 224.513729 48.917217 \n",
       "L 234.479911 45.441584 \n",
       "L 244.8991 42.043507 \n",
       "L 256.073303 38.635845 \n",
       "L 268.304525 35.143683 \n",
       "L 282.196778 31.416787 \n",
       "L 298.80708 27.201554 \n",
       "L 320.24947 22.002742 \n",
       "L 337.614785 17.919286 \n",
       "L 337.614785 17.919286 \n",
       "\" clip-path=\"url(#pf692e6ea4a)\" style=\"fill: none; stroke-dasharray: 1.5,2.475; stroke-dashoffset: 0; stroke: #2ca02c; stroke-width: 1.5\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 50.70957 237.19082 \n",
       "L 50.70957 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 337.614785 237.19082 \n",
       "L 337.614785 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 50.70957 237.19082 \n",
       "L 337.614785 237.19082 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 50.70957 7.2 \n",
       "L 337.614785 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"line2d_30\">\n",
       "     <path d=\"M 58.20957 20.8875 \n",
       "L 68.20957 20.8875 \n",
       "L 78.20957 20.8875 \n",
       "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- SAX -->\n",
       "     <g transform=\"translate(86.20957 24.3875) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-18d\" d=\"M 2053 -81 \n",
       "Q 1297 -81 850 276 \n",
       "Q 403 634 363 1219 \n",
       "L 972 1219 \n",
       "Q 997 956 1150 786 \n",
       "Q 1303 616 1542 533 \n",
       "Q 1781 450 2053 450 \n",
       "Q 2369 450 2620 553 \n",
       "Q 2872 656 3019 843 \n",
       "Q 3166 1031 3166 1278 \n",
       "Q 3166 1503 3039 1643 \n",
       "Q 2913 1784 2703 1875 \n",
       "Q 2494 1966 2244 2034 \n",
       "L 1681 2194 \n",
       "Q 1119 2353 806 2650 \n",
       "Q 494 2947 494 3409 \n",
       "Q 494 3803 706 4098 \n",
       "Q 919 4394 1281 4556 \n",
       "Q 1644 4719 2094 4719 \n",
       "Q 2553 4719 2906 4556 \n",
       "Q 3259 4394 3464 4114 \n",
       "Q 3669 3834 3681 3481 \n",
       "L 3100 3481 \n",
       "Q 3059 3822 2775 4008 \n",
       "Q 2491 4194 2075 4194 \n",
       "Q 1622 4194 1347 3980 \n",
       "Q 1072 3766 1072 3438 \n",
       "Q 1072 3194 1223 3045 \n",
       "Q 1375 2897 1583 2814 \n",
       "Q 1791 2731 1959 2684 \n",
       "L 2425 2556 \n",
       "Q 2613 2506 2839 2418 \n",
       "Q 3066 2331 3272 2186 \n",
       "Q 3478 2041 3611 1817 \n",
       "Q 3744 1594 3744 1269 \n",
       "Q 3744 888 3545 581 \n",
       "Q 3347 275 2969 97 \n",
       "Q 2591 -81 2053 -81 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2\" d=\"M 163 0 \n",
       "L 1853 4656 \n",
       "L 2541 4656 \n",
       "L 4253 0 \n",
       "L 3628 0 \n",
       "L 3163 1300 \n",
       "L 1244 1300 \n",
       "L 794 0 \n",
       "L 163 0 \n",
       "z\n",
       "M 1425 1819 \n",
       "L 2978 1819 \n",
       "L 2641 2763 \n",
       "Q 2556 2997 2450 3336 \n",
       "Q 2344 3675 2194 4181 \n",
       "Q 2047 3666 1937 3322 \n",
       "Q 1828 2978 1753 2763 \n",
       "L 1425 1819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-1d2\" d=\"M 178 0 \n",
       "L 1847 2384 \n",
       "L 281 4656 \n",
       "L 969 4656 \n",
       "L 1641 3669 \n",
       "Q 1778 3469 1868 3328 \n",
       "Q 1959 3188 2032 3058 \n",
       "Q 2106 2928 2191 2766 \n",
       "Q 2272 2928 2347 3058 \n",
       "Q 2422 3188 2514 3328 \n",
       "Q 2606 3469 2744 3669 \n",
       "L 3428 4656 \n",
       "L 4100 4656 \n",
       "L 2534 2406 \n",
       "L 4188 0 \n",
       "L 3503 0 \n",
       "L 2688 1181 \n",
       "Q 2513 1438 2406 1605 \n",
       "Q 2300 1772 2184 2000 \n",
       "Q 2072 1778 1962 1608 \n",
       "Q 1853 1438 1675 1181 \n",
       "L 853 0 \n",
       "L 178 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-18d\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2\" transform=\"translate(64.15625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1d2\" transform=\"translate(133.15625 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_31\">\n",
       "     <path d=\"M 58.20957 37.987109 \n",
       "L 68.20957 37.987109 \n",
       "L 78.20957 37.987109 \n",
       "\" style=\"fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #ff7f0e; stroke-width: 1.5\"/>\n",
       "    </g>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- Route A (tline_ideal) -->\n",
       "     <g transform=\"translate(86.20957 41.487109) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-180\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 2156 4656 \n",
       "Q 2700 4656 3051 4470 \n",
       "Q 3403 4284 3573 3959 \n",
       "Q 3744 3634 3744 3219 \n",
       "Q 3744 2756 3533 2412 \n",
       "Q 3322 2069 2881 1916 \n",
       "L 3925 0 \n",
       "L 3238 0 \n",
       "L 2269 1809 \n",
       "Q 2216 1806 2159 1806 \n",
       "L 1156 1806 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "z\n",
       "M 1156 2334 \n",
       "L 2131 2334 \n",
       "Q 2681 2334 2917 2571 \n",
       "Q 3153 2809 3153 3219 \n",
       "Q 3153 3634 2917 3884 \n",
       "Q 2681 4134 2125 4134 \n",
       "L 1156 4134 \n",
       "L 1156 2334 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-316\" d=\"M 1916 -75 \n",
       "Q 1441 -75 1083 150 \n",
       "Q 725 375 525 781 \n",
       "Q 325 1188 325 1725 \n",
       "Q 325 2272 525 2680 \n",
       "Q 725 3088 1083 3313 \n",
       "Q 1441 3538 1916 3538 \n",
       "Q 2394 3538 2753 3313 \n",
       "Q 3113 3088 3313 2680 \n",
       "Q 3513 2272 3513 1725 \n",
       "Q 3513 1188 3313 781 \n",
       "Q 3113 375 2753 150 \n",
       "Q 2394 -75 1916 -75 \n",
       "z\n",
       "M 1916 428 \n",
       "Q 2269 428 2497 609 \n",
       "Q 2725 791 2834 1086 \n",
       "Q 2944 1381 2944 1725 \n",
       "Q 2944 2072 2834 2370 \n",
       "Q 2725 2669 2497 2851 \n",
       "Q 2269 3034 1916 3034 \n",
       "Q 1566 3034 1341 2851 \n",
       "Q 1116 2669 1006 2372 \n",
       "Q 897 2075 897 1725 \n",
       "Q 897 1381 1006 1086 \n",
       "Q 1116 791 1341 609 \n",
       "Q 1566 428 1916 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-379\" d=\"M 1869 3494 \n",
       "L 1869 3013 \n",
       "L 1150 3013 \n",
       "L 1150 906 \n",
       "Q 1150 672 1245 564 \n",
       "Q 1341 456 1563 456 \n",
       "Q 1616 456 1698 468 \n",
       "Q 1781 481 1850 494 \n",
       "L 1966 19 \n",
       "Q 1878 -13 1767 -28 \n",
       "Q 1656 -44 1547 -44 \n",
       "Q 1094 -44 841 195 \n",
       "Q 588 434 588 863 \n",
       "L 588 3013 \n",
       "L 63 3013 \n",
       "L 63 3494 \n",
       "L 588 3494 \n",
       "L 588 4325 \n",
       "L 1150 4325 \n",
       "L 1150 3494 \n",
       "L 1869 3494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2e0\" d=\"M 1056 4656 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 4656 \n",
       "L 1056 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2b1\" d=\"M 494 0 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "z\n",
       "M 778 4066 \n",
       "Q 619 4066 503 4175 \n",
       "Q 387 4284 387 4438 \n",
       "Q 387 4594 503 4701 \n",
       "Q 619 4809 778 4809 \n",
       "Q 940 4809 1056 4701 \n",
       "Q 1172 4594 1172 4438 \n",
       "Q 1172 4284 1056 4175 \n",
       "Q 940 4066 778 4066 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-607\" d=\"M 2919 0 \n",
       "L 2919 -519 \n",
       "L 0 -519 \n",
       "L 0 0 \n",
       "L 2919 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-1fb\" d=\"M 1472 -81 \n",
       "Q 1141 -81 870 44 \n",
       "Q 600 169 440 409 \n",
       "Q 281 650 281 994 \n",
       "Q 281 1294 400 1481 \n",
       "Q 519 1669 717 1776 \n",
       "Q 916 1884 1156 1937 \n",
       "Q 1397 1991 1641 2022 \n",
       "Q 1953 2063 2150 2084 \n",
       "Q 2347 2106 2442 2159 \n",
       "Q 2538 2213 2538 2341 \n",
       "L 2538 2359 \n",
       "Q 2538 2684 2353 2864 \n",
       "Q 2169 3044 1806 3044 \n",
       "Q 1428 3044 1215 2880 \n",
       "Q 1003 2716 922 2531 \n",
       "L 381 2709 \n",
       "Q 516 3028 744 3208 \n",
       "Q 972 3388 1247 3463 \n",
       "Q 1522 3538 1791 3538 \n",
       "Q 1966 3538 2189 3495 \n",
       "Q 2413 3453 2620 3328 \n",
       "Q 2828 3203 2964 2958 \n",
       "Q 3100 2713 3100 2303 \n",
       "L 3100 0 \n",
       "L 2547 0 \n",
       "L 2547 475 \n",
       "L 2509 475 \n",
       "Q 2450 353 2319 223 \n",
       "Q 2188 94 1978 6 \n",
       "Q 1769 -81 1472 -81 \n",
       "z\n",
       "M 1569 416 \n",
       "Q 1881 416 2097 537 \n",
       "Q 2313 659 2425 854 \n",
       "Q 2538 1050 2538 1263 \n",
       "L 2538 1747 \n",
       "Q 2503 1706 2387 1673 \n",
       "Q 2272 1641 2123 1616 \n",
       "Q 1975 1591 1836 1573 \n",
       "Q 1697 1556 1616 1547 \n",
       "Q 1413 1522 1236 1461 \n",
       "Q 1059 1400 953 1283 \n",
       "Q 847 1166 847 966 \n",
       "Q 847 694 1051 555 \n",
       "Q 1256 416 1569 416 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-180\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(62.890625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(122.859375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(181.984375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(213.734375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(272.03125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2\" transform=\"translate(300.15625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(369.15625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(397.28125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(433.75 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(466.46875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(490.6875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(514.90625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(573.984375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-607\" transform=\"translate(632.28125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(681.265625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-255\" transform=\"translate(705.484375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(766.71875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(826 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(882.15625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(906.375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_32\">\n",
       "     <path d=\"M 58.20957 55.086719 \n",
       "L 68.20957 55.086719 \n",
       "L 78.20957 55.086719 \n",
       "\" style=\"fill: none; stroke-dasharray: 1.5,2.475; stroke-dashoffset: 0; stroke: #2ca02c; stroke-width: 1.5\"/>\n",
       "    </g>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- Route B (rational fit) -->\n",
       "     <g transform=\"translate(86.20957 58.586719) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-287\" d=\"M 2119 3494 \n",
       "L 2119 3013 \n",
       "L 1313 3013 \n",
       "L 1313 0 \n",
       "L 750 0 \n",
       "L 750 3013 \n",
       "L 63 3013 \n",
       "L 63 3494 \n",
       "L 750 3494 \n",
       "L 750 3959 \n",
       "Q 750 4263 892 4466 \n",
       "Q 1034 4669 1262 4772 \n",
       "Q 1491 4875 1744 4875 \n",
       "Q 1944 4875 2075 4842 \n",
       "Q 2206 4809 2269 4781 \n",
       "L 2113 4300 \n",
       "Q 2069 4316 1998 4334 \n",
       "Q 1928 4353 1809 4353 \n",
       "Q 1550 4353 1431 4220 \n",
       "Q 1313 4088 1313 3834 \n",
       "L 1313 3494 \n",
       "L 2119 3494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-180\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(62.890625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(122.859375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(181.984375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(213.734375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(272.03125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-41\" transform=\"translate(300.15625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(365.59375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(393.71875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-354\" transform=\"translate(430.1875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(467.828125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(523.984375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(556.703125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(580.921875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(640.890625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(699.96875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(756.125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(780.34375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-287\" transform=\"translate(808.46875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(845.484375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(869.703125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(902.421875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 407.654785 237.19082 \n",
       "L 694.56 237.19082 \n",
       "L 694.56 7.2 \n",
       "L 407.654785 7.2 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <path d=\"M 430.305197 237.19082 \n",
       "L 430.305197 7.2 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"430.305197\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- $\\mathdefault{2.5}$ -->\n",
       "      <g transform=\"translate(422.805197 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(60.986328 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(89.794922 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <path d=\"M 468.055883 237.19082 \n",
       "L 468.055883 7.2 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"468.055883\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- $\\mathdefault{5.0}$ -->\n",
       "      <g transform=\"translate(460.455883 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(88.134766 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <path d=\"M 505.806569 237.19082 \n",
       "L 505.806569 7.2 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"505.806569\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- $\\mathdefault{7.5}$ -->\n",
       "      <g transform=\"translate(498.556569 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(0 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(56.591797 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(85.400391 0.25)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <path d=\"M 543.557255 237.19082 \n",
       "L 543.557255 7.2 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"543.557255\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_22\">\n",
       "      <!-- $\\mathdefault{10.0}$ -->\n",
       "      <g transform=\"translate(533.757255 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(103.759766 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(132.568359 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <path d=\"M 581.307942 237.19082 \n",
       "L 581.307942 7.2 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"581.307942\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_23\">\n",
       "      <!-- $\\mathdefault{12.5}$ -->\n",
       "      <g transform=\"translate(571.807942 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(101.660156 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(130.46875 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_14\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <path d=\"M 619.058628 237.19082 \n",
       "L 619.058628 7.2 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"619.058628\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_24\">\n",
       "      <!-- $\\mathdefault{15.0}$ -->\n",
       "      <g transform=\"translate(609.458628 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(100 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(128.808594 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_15\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <path d=\"M 656.809314 237.19082 \n",
       "L 656.809314 7.2 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_46\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"656.809314\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_25\">\n",
       "      <!-- $\\mathdefault{17.5}$ -->\n",
       "      <g transform=\"translate(647.509314 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(40.673828 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(97.265625 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(126.074219 0.25)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_16\">\n",
       "     <g id=\"line2d_47\">\n",
       "      <path d=\"M 694.56 237.19082 \n",
       "L 694.56 7.2 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_48\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m2f89b3faaa\" x=\"694.56\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_26\">\n",
       "      <!-- $\\mathdefault{20.0}$ -->\n",
       "      <g transform=\"translate(683.76 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(60.986328 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(124.072266 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(152.880859 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_27\">\n",
       "     <!-- Frequency (GHz) -->\n",
       "     <g transform=\"translate(506.848721 270.94668) scale(0.11 -0.11)\">\n",
       "      <use xlink:href=\"#Inter-Regular-89\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-354\" transform=\"translate(56.109375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(92.09375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-351\" transform=\"translate(150.390625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(211.625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(270.75 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(329.046875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-24a\" transform=\"translate(388.125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3e6\" transform=\"translate(443.296875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(499.5 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5a6\" transform=\"translate(527.625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-8d\" transform=\"translate(564.09375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-a1\" transform=\"translate(638.703125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3fe\" transform=\"translate(713.015625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5a7\" transform=\"translate(768.234375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_49\">\n",
       "      <path d=\"M 407.654785 231.504832 \n",
       "L 694.56 231.504832 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_50\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"407.654785\" y=\"231.504832\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_28\">\n",
       "      <!-- $\\mathdefault{10^{-18}}$ -->\n",
       "      <g transform=\"translate(378.054785 236.348582) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-547\" d=\"M 1978 -63 \n",
       "Q 1506 -63 1145 104 \n",
       "Q 784 272 582 565 \n",
       "Q 381 859 381 1238 \n",
       "Q 381 1531 500 1782 \n",
       "Q 619 2034 825 2203 \n",
       "Q 1031 2372 1291 2419 \n",
       "L 1291 2444 \n",
       "Q 950 2531 750 2822 \n",
       "Q 550 3113 550 3481 \n",
       "Q 550 3838 734 4117 \n",
       "Q 919 4397 1241 4558 \n",
       "Q 1563 4719 1978 4719 \n",
       "Q 2388 4719 2709 4558 \n",
       "Q 3031 4397 3217 4117 \n",
       "Q 3403 3838 3403 3481 \n",
       "Q 3403 3113 3201 2822 \n",
       "Q 3000 2531 2669 2444 \n",
       "L 2669 2419 \n",
       "Q 2922 2372 3128 2203 \n",
       "Q 3334 2034 3456 1782 \n",
       "Q 3578 1531 3578 1238 \n",
       "Q 3578 859 3373 565 \n",
       "Q 3169 272 2808 104 \n",
       "Q 2447 -63 1978 -63 \n",
       "z\n",
       "M 1978 453 \n",
       "Q 2441 453 2712 676 \n",
       "Q 2984 900 2984 1269 \n",
       "Q 2984 1528 2853 1726 \n",
       "Q 2722 1925 2494 2039 \n",
       "Q 2266 2153 1978 2153 \n",
       "Q 1538 2153 1252 1904 \n",
       "Q 966 1656 966 1269 \n",
       "Q 966 900 1236 676 \n",
       "Q 1506 453 1978 453 \n",
       "z\n",
       "M 1978 2650 \n",
       "Q 2347 2650 2587 2867 \n",
       "Q 2828 3084 2828 3438 \n",
       "Q 2828 3788 2593 3997 \n",
       "Q 2359 4206 1978 4206 \n",
       "Q 1591 4206 1358 3997 \n",
       "Q 1125 3788 1125 3438 \n",
       "Q 1125 3084 1362 2867 \n",
       "Q 1600 2650 1978 2650 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(104.715156 38.385938) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(151.028633 38.385938) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(179.500313 38.385938) scale(0.7)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_51\">\n",
       "      <path d=\"M 407.654785 203.134889 \n",
       "L 694.56 203.134889 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_52\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"407.654785\" y=\"203.134889\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_29\">\n",
       "      <!-- $\\mathdefault{10^{-16}}$ -->\n",
       "      <g transform=\"translate(378.054785 207.978639) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-545\" d=\"M 2019 -63 \n",
       "Q 1728 -63 1437 43 \n",
       "Q 1147 150 908 400 \n",
       "Q 669 650 525 1078 \n",
       "Q 381 1506 381 2150 \n",
       "Q 381 3378 840 4048 \n",
       "Q 1300 4719 2091 4719 \n",
       "Q 2481 4719 2790 4562 \n",
       "Q 3100 4406 3297 4128 \n",
       "Q 3494 3850 3550 3484 \n",
       "L 2969 3484 \n",
       "Q 2891 3788 2672 3991 \n",
       "Q 2453 4194 2091 4194 \n",
       "Q 1553 4194 1248 3730 \n",
       "Q 944 3266 944 2425 \n",
       "L 981 2425 \n",
       "Q 1169 2716 1467 2880 \n",
       "Q 1766 3044 2128 3044 \n",
       "Q 2528 3044 2859 2847 \n",
       "Q 3191 2650 3389 2301 \n",
       "Q 3588 1953 3588 1503 \n",
       "Q 3588 1069 3394 714 \n",
       "Q 3200 359 2847 148 \n",
       "Q 2494 -63 2019 -63 \n",
       "z\n",
       "M 2019 459 \n",
       "Q 2300 459 2525 600 \n",
       "Q 2750 741 2881 977 \n",
       "Q 3013 1213 3013 1503 \n",
       "Q 3013 1788 2886 2020 \n",
       "Q 2759 2253 2537 2390 \n",
       "Q 2316 2528 2034 2528 \n",
       "Q 1753 2528 1525 2384 \n",
       "Q 1297 2241 1162 2005 \n",
       "Q 1028 1769 1028 1497 \n",
       "Q 1028 1222 1156 986 \n",
       "Q 1284 750 1509 604 \n",
       "Q 1734 459 2019 459 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(104.715156 38.385938) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(151.028633 38.385938) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(179.500313 38.385938) scale(0.7)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_53\">\n",
       "      <path d=\"M 407.654785 174.764946 \n",
       "L 694.56 174.764946 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_54\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"407.654785\" y=\"174.764946\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_30\">\n",
       "      <!-- $\\mathdefault{10^{-14}}$ -->\n",
       "      <g transform=\"translate(377.854785 179.608696) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-542\" d=\"M 375 947 \n",
       "L 375 1431 \n",
       "L 2413 4656 \n",
       "L 3134 4656 \n",
       "L 3134 1469 \n",
       "L 3766 1469 \n",
       "L 3766 947 \n",
       "L 3134 947 \n",
       "L 3134 0 \n",
       "L 2566 0 \n",
       "L 2566 947 \n",
       "L 375 947 \n",
       "z\n",
       "M 2569 1469 \n",
       "L 2569 3913 \n",
       "L 2531 3913 \n",
       "L 1009 1506 \n",
       "L 1009 1469 \n",
       "L 2569 1469 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.859375)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.859375)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(104.715156 39.075) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(151.028633 39.075) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-542\" transform=\"translate(179.500313 39.075) scale(0.7)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_55\">\n",
       "      <path d=\"M 407.654785 146.395003 \n",
       "L 694.56 146.395003 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_56\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"407.654785\" y=\"146.395003\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_31\">\n",
       "      <!-- $\\mathdefault{10^{-12}}$ -->\n",
       "      <g transform=\"translate(378.154785 151.238753) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(104.715156 38.385938) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(151.028633 38.385938) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(179.500313 38.385938) scale(0.7)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_57\">\n",
       "      <path d=\"M 407.654785 118.025061 \n",
       "L 694.56 118.025061 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_58\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"407.654785\" y=\"118.025061\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_32\">\n",
       "      <!-- $\\mathdefault{10^{-10}}$ -->\n",
       "      <g transform=\"translate(377.954785 122.868811) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(104.715156 38.385938) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(151.028633 38.385938) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(179.500313 38.385938) scale(0.7)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_59\">\n",
       "      <path d=\"M 407.654785 89.655118 \n",
       "L 694.56 89.655118 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_60\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"407.654785\" y=\"89.655118\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_33\">\n",
       "      <!-- $\\mathdefault{10^{-8}}$ -->\n",
       "      <g transform=\"translate(380.854785 94.498868) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(104.715156 38.385938) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(151.028633 38.385938) scale(0.7)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_61\">\n",
       "      <path d=\"M 407.654785 61.285175 \n",
       "L 694.56 61.285175 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_62\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"407.654785\" y=\"61.285175\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_34\">\n",
       "      <!-- $\\mathdefault{10^{-6}}$ -->\n",
       "      <g transform=\"translate(380.854785 66.128925) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(104.715156 38.385938) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(151.028633 38.385938) scale(0.7)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_63\">\n",
       "      <path d=\"M 407.654785 32.915232 \n",
       "L 694.56 32.915232 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_64\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m61b6f0b9c9\" x=\"407.654785\" y=\"32.915232\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_35\">\n",
       "      <!-- $\\mathdefault{10^{-4}}$ -->\n",
       "      <g transform=\"translate(380.754785 37.758982) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.859375)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.859375)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(104.715156 39.075) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-542\" transform=\"translate(151.028633 39.075) scale(0.7)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_36\">\n",
       "     <!-- $|S_{21} - S_{21}^\\text{SAX}|$ -->\n",
       "     <g transform=\"translate(370.334785 148.65041) rotate(-90) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"FiraMath-Regular-2f2\" d=\"M 397 1549 \n",
       "L 2803 1549 \n",
       "L 2803 2035 \n",
       "L 397 2035 \n",
       "L 397 1549 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-22\" d=\"M 1133 1600 \n",
       "L 1824 3904 \n",
       "L 2509 1600 \n",
       "L 1133 1600 \n",
       "z\n",
       "M 2989 0 \n",
       "L 3629 0 \n",
       "L 2221 4410 \n",
       "L 1453 4410 \n",
       "L 38 0 \n",
       "L 653 0 \n",
       "L 986 1107 \n",
       "L 2656 1107 \n",
       "L 2989 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-39\" d=\"M 2080 2381 \n",
       "L 3277 4410 \n",
       "L 2624 4410 \n",
       "L 1728 2752 \n",
       "L 838 4410 \n",
       "L 147 4410 \n",
       "L 1357 2349 \n",
       "L 32 0 \n",
       "L 685 0 \n",
       "L 1715 1952 \n",
       "L 2733 0 \n",
       "L 3424 0 \n",
       "L 2080 2381 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#FiraMath-Regular-5d\" transform=\"translate(0 0.929688)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-34\" transform=\"translate(40.299957 0.929688)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-13\" transform=\"translate(94.799911 -14.88125) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-12\" transform=\"translate(133.999879 -14.88125) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-2f2\" transform=\"translate(192.974988 0.929688)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-34\" transform=\"translate(260.114926 0.929688)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-34\" transform=\"translate(321.353656 43.934375) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-22\" transform=\"translate(359.503624 43.934375) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-39\" transform=\"translate(399.613584 43.934375) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-13\" transform=\"translate(314.61488 -30.973437) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-12\" transform=\"translate(353.814848 -30.973437) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-5d\" transform=\"translate(440.048708 0.929688)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_65\">\n",
       "    <path d=\"M 407.654785 201.628554 \n",
       "L 407.956791 216.98891 \n",
       "L 408.107793 203.578609 \n",
       "L 408.258796 207.824186 \n",
       "L 408.409799 204.336051 \n",
       "L 408.560802 211.411472 \n",
       "L 408.711804 200.4249 \n",
       "L 408.862807 203.283791 \n",
       "L 409.01381 201.699274 \n",
       "L 409.164813 205.453204 \n",
       "L 409.315815 201.281177 \n",
       "L 409.466818 200.92346 \n",
       "L 409.617821 211.213742 \n",
       "L 409.768824 201.903537 \n",
       "L 410.070829 211.715277 \n",
       "L 410.221832 199.264858 \n",
       "L 410.372835 214.885236 \n",
       "L 410.523837 213.739649 \n",
       "L 410.67484 211.150556 \n",
       "L 410.825843 221.343407 \n",
       "L 411.278851 201.592986 \n",
       "L 411.429854 198.285766 \n",
       "L 411.580857 205.92094 \n",
       "L 411.731859 202.027174 \n",
       "L 411.882862 205.751629 \n",
       "L 412.033865 215.114315 \n",
       "L 412.184867 206.808593 \n",
       "L 412.33587 207.252256 \n",
       "L 412.486873 203.110948 \n",
       "L 412.637876 205.336058 \n",
       "L 412.788878 201.091155 \n",
       "L 412.939881 223.153923 \n",
       "L 413.241887 201.73779 \n",
       "L 413.392889 207.043391 \n",
       "L 413.543892 208.266869 \n",
       "L 413.694895 214.938254 \n",
       "L 413.845898 203.894264 \n",
       "L 414.298906 211.216936 \n",
       "L 414.449909 204.144646 \n",
       "L 414.600911 220.942813 \n",
       "L 414.751914 208.662799 \n",
       "L 414.902917 207.348115 \n",
       "L 415.204922 203.448898 \n",
       "L 415.355925 214.681847 \n",
       "L 415.506928 213.805578 \n",
       "L 415.808933 201.569477 \n",
       "L 416.110939 206.440453 \n",
       "L 416.261942 204.576561 \n",
       "L 416.412944 207.824451 \n",
       "L 416.563947 203.880064 \n",
       "L 416.71495 203.971124 \n",
       "L 416.865953 202.776588 \n",
       "L 417.016955 215.114315 \n",
       "L 417.167958 209.412105 \n",
       "L 417.318961 218.883821 \n",
       "L 417.620966 199.152988 \n",
       "L 417.771969 209.656285 \n",
       "L 417.922972 208.346363 \n",
       "L 418.073975 217.436103 \n",
       "L 418.224977 202.701596 \n",
       "L 418.37598 216.74877 \n",
       "L 418.526983 202.683129 \n",
       "L 418.677986 206.228978 \n",
       "L 418.828988 200.348185 \n",
       "L 419.130994 203.971124 \n",
       "L 419.281996 213.549928 \n",
       "L 419.584002 200.792894 \n",
       "L 419.735005 215.114315 \n",
       "L 419.886007 201.725008 \n",
       "L 420.03701 201.712716 \n",
       "L 420.188013 208.261968 \n",
       "L 420.339016 200.184568 \n",
       "L 420.490018 200.799401 \n",
       "L 420.641021 203.782455 \n",
       "L 420.792024 214.426982 \n",
       "L 420.943027 200.007638 \n",
       "L 421.245032 201.803414 \n",
       "L 421.396035 200.490584 \n",
       "L 421.547038 208.427963 \n",
       "L 421.69804 204.947325 \n",
       "L 421.849043 204.552968 \n",
       "L 422.000046 210.657475 \n",
       "L 422.151049 209.390838 \n",
       "L 422.302051 203.880064 \n",
       "L 422.604057 207.548304 \n",
       "L 422.75506 215.114315 \n",
       "L 422.906062 203.570323 \n",
       "L 423.057065 203.52791 \n",
       "L 423.208068 200.942053 \n",
       "L 423.510073 221.706205 \n",
       "L 423.661076 218.883821 \n",
       "L 423.812079 220.210731 \n",
       "L 424.114084 201.201974 \n",
       "L 424.265087 202.093383 \n",
       "L 424.41609 201.134908 \n",
       "L 424.567093 211.17883 \n",
       "L 424.718095 198.854442 \n",
       "L 424.869098 212.979264 \n",
       "L 425.020101 199.153243 \n",
       "L 425.322106 216.74877 \n",
       "L 425.473109 201.866011 \n",
       "L 425.624112 199.40115 \n",
       "L 425.926117 211.715277 \n",
       "L 426.07712 210.583757 \n",
       "L 426.379125 199.503217 \n",
       "L 426.530128 204.902575 \n",
       "L 426.832134 219.571154 \n",
       "L 426.983136 200.710796 \n",
       "L 427.134139 199.382452 \n",
       "L 427.285142 199.614688 \n",
       "L 427.436145 208.427963 \n",
       "L 427.73815 201.419299 \n",
       "L 428.040156 214.613719 \n",
       "L 428.191158 201.335478 \n",
       "L 428.342161 205.206701 \n",
       "L 428.493164 200.632473 \n",
       "L 428.644167 200.956642 \n",
       "L 428.795169 200.722633 \n",
       "L 429.248178 210.625665 \n",
       "L 429.39918 201.239817 \n",
       "L 429.550183 217.073305 \n",
       "L 429.701186 215.114315 \n",
       "L 429.852189 206.211312 \n",
       "L 430.003191 212.402609 \n",
       "L 430.305197 201.798605 \n",
       "L 430.4562 203.815805 \n",
       "L 430.607202 196.644329 \n",
       "L 430.758205 212.478668 \n",
       "L 430.909208 202.673539 \n",
       "L 431.060211 206.89613 \n",
       "L 431.211213 205.886778 \n",
       "L 431.362216 217.073305 \n",
       "L 431.513219 206.025759 \n",
       "L 431.664222 203.711227 \n",
       "L 431.815224 217.073305 \n",
       "L 431.966227 208.132508 \n",
       "L 432.11723 206.39805 \n",
       "L 432.268233 201.207918 \n",
       "L 432.419235 202.48774 \n",
       "L 432.570238 201.364556 \n",
       "L 432.721241 210.668152 \n",
       "L 432.872244 211.791335 \n",
       "L 433.325252 200.03056 \n",
       "L 433.476254 215.301052 \n",
       "L 433.627257 203.554349 \n",
       "L 433.77826 210.844213 \n",
       "L 433.929263 205.386183 \n",
       "L 434.231268 208.968952 \n",
       "L 434.382271 204.811783 \n",
       "L 434.533274 208.511784 \n",
       "L 434.684276 208.848143 \n",
       "L 434.835279 218.883821 \n",
       "L 435.137285 203.247284 \n",
       "L 435.288287 214.613719 \n",
       "L 435.43929 212.803203 \n",
       "L 435.590293 206.387373 \n",
       "L 435.741296 212.11587 \n",
       "L 436.043301 207.213687 \n",
       "L 436.194304 202.043553 \n",
       "L 436.345307 201.938695 \n",
       "L 436.496309 208.968952 \n",
       "L 436.647312 207.828703 \n",
       "L 437.10032 198.973339 \n",
       "L 437.251323 204.902575 \n",
       "L 437.402326 205.199445 \n",
       "L 437.553329 206.376733 \n",
       "L 437.704331 209.980819 \n",
       "L 437.855334 204.433403 \n",
       "L 438.006337 206.141643 \n",
       "L 438.15734 199.715649 \n",
       "L 438.308342 206.102529 \n",
       "L 438.459345 203.533179 \n",
       "L 438.610348 208.895899 \n",
       "L 438.912353 201.288294 \n",
       "L 439.063356 211.17883 \n",
       "L 439.214359 205.66823 \n",
       "L 439.365362 206.608273 \n",
       "L 439.516364 206.376733 \n",
       "L 439.667367 213.166001 \n",
       "L 439.81837 208.511784 \n",
       "L 439.969373 207.828703 \n",
       "L 440.120375 207.828703 \n",
       "L 440.271378 219.571154 \n",
       "L 440.422381 204.410878 \n",
       "L 440.573383 203.9002 \n",
       "L 440.724386 206.102529 \n",
       "L 440.875389 204.086344 \n",
       "L 441.026392 210.668152 \n",
       "L 441.177394 209.656285 \n",
       "L 441.328397 210.343617 \n",
       "L 441.4794 203.558601 \n",
       "L 441.630403 205.448412 \n",
       "L 441.781405 200.500421 \n",
       "L 442.083411 206.654419 \n",
       "L 442.234414 199.80113 \n",
       "L 442.385416 210.625665 \n",
       "L 442.536419 208.848143 \n",
       "L 442.838425 198.444405 \n",
       "L 442.989427 199.203529 \n",
       "L 443.14043 206.908728 \n",
       "L 443.291433 204.625797 \n",
       "L 443.442436 204.300662 \n",
       "L 443.744441 209.199117 \n",
       "L 444.046447 200.445736 \n",
       "L 444.348452 204.6682 \n",
       "L 444.499455 218.883821 \n",
       "L 444.650458 210.343617 \n",
       "L 444.80146 210.343617 \n",
       "L 444.952463 202.278634 \n",
       "L 445.103466 209.750106 \n",
       "L 445.254469 202.245122 \n",
       "L 445.405471 210.343617 \n",
       "L 445.556474 203.862406 \n",
       "L 445.707477 208.709162 \n",
       "L 446.009482 203.952937 \n",
       "L 446.160485 204.157861 \n",
       "L 446.311488 210.983194 \n",
       "L 446.462491 212.11587 \n",
       "L 446.613493 205.634658 \n",
       "L 446.764496 219.571154 \n",
       "L 446.915499 205.886778 \n",
       "L 447.066502 213.926386 \n",
       "L 447.217504 201.871541 \n",
       "L 447.51951 205.66823 \n",
       "L 447.670512 209.750106 \n",
       "L 447.821515 201.077817 \n",
       "L 448.123521 210.625665 \n",
       "L 448.274523 213.469219 \n",
       "L 448.576529 204.241682 \n",
       "L 448.727532 215.940629 \n",
       "L 448.878534 208.709162 \n",
       "L 449.029537 215.114315 \n",
       "L 449.18054 209.535476 \n",
       "L 449.331543 199.544547 \n",
       "L 449.482545 203.9002 \n",
       "L 449.633548 203.675668 \n",
       "L 449.935554 211.670527 \n",
       "L 450.086556 200.552885 \n",
       "L 450.237559 201.280161 \n",
       "L 450.388562 215.114315 \n",
       "L 450.690567 200.929343 \n",
       "L 450.84157 204.456093 \n",
       "L 450.992573 213.926386 \n",
       "L 451.143576 205.480004 \n",
       "L 451.294578 223.841256 \n",
       "L 451.445581 201.696984 \n",
       "L 451.596584 206.908728 \n",
       "L 451.747587 204.792671 \n",
       "L 451.898589 200.139374 \n",
       "L 452.049592 202.278634 \n",
       "L 452.200595 209.199117 \n",
       "L 452.5026 206.713092 \n",
       "L 452.653603 206.025759 \n",
       "L 452.804606 215.940629 \n",
       "L 452.955609 203.171319 \n",
       "L 453.106611 203.278202 \n",
       "L 453.257614 213.469219 \n",
       "L 453.408617 203.862406 \n",
       "L 453.55962 207.158435 \n",
       "L 453.710622 205.886778 \n",
       "L 453.861625 198.977182 \n",
       "L 454.163631 217.073305 \n",
       "L 454.465636 198.533836 \n",
       "L 454.767641 212.803203 \n",
       "L 454.918644 199.954369 \n",
       "L 455.069647 210.343617 \n",
       "L 455.22065 200.929343 \n",
       "L 455.371652 210.15688 \n",
       "L 455.522655 200.929343 \n",
       "L 455.673658 211.670527 \n",
       "L 455.824661 203.14145 \n",
       "L 455.975663 201.040022 \n",
       "L 456.126666 208.346363 \n",
       "L 456.277669 205.206701 \n",
       "L 456.428672 210.343617 \n",
       "L 456.579674 199.129919 \n",
       "L 456.730677 212.718808 \n",
       "L 456.88168 202.638626 \n",
       "L 457.032683 201.35622 \n",
       "L 457.334688 208.208566 \n",
       "L 457.485691 201.616676 \n",
       "L 457.787696 209.656285 \n",
       "L 457.938699 206.574111 \n",
       "L 458.089702 206.141643 \n",
       "L 458.240705 202.610352 \n",
       "L 458.391707 206.701268 \n",
       "L 458.54271 200.548078 \n",
       "L 458.844716 211.670527 \n",
       "L 458.995718 203.388928 \n",
       "L 459.146721 202.751114 \n",
       "L 459.297724 204.173405 \n",
       "L 459.448727 206.908728 \n",
       "L 459.599729 202.247901 \n",
       "L 459.750732 204.578041 \n",
       "L 459.901735 212.803203 \n",
       "L 460.052738 206.701268 \n",
       "L 460.20374 211.670527 \n",
       "L 460.354743 200.787699 \n",
       "L 460.656749 206.574111 \n",
       "L 460.807751 205.997457 \n",
       "L 461.109757 223.841256 \n",
       "L 461.26076 202.114608 \n",
       "L 461.411762 207.583463 \n",
       "L 461.562765 203.575666 \n",
       "L 461.713768 207.064066 \n",
       "L 461.86477 214.613719 \n",
       "L 462.015773 200.173207 \n",
       "L 462.317779 204.6682 \n",
       "L 462.468781 207.845768 \n",
       "L 462.770787 199.408882 \n",
       "L 462.92179 200.360211 \n",
       "L 463.072792 202.114608 \n",
       "L 463.223795 210.15688 \n",
       "L 463.374798 199.606423 \n",
       "L 463.676803 215.301052 \n",
       "L 463.827806 204.929015 \n",
       "L 463.978809 209.656285 \n",
       "L 464.129812 200.678893 \n",
       "L 464.280814 218.883821 \n",
       "L 464.431817 200.249266 \n",
       "L 464.58282 197.586713 \n",
       "L 464.733823 212.478668 \n",
       "L 464.884825 198.840846 \n",
       "L 465.035828 200.23188 \n",
       "L 465.186831 203.554349 \n",
       "L 465.337834 202.381413 \n",
       "L 465.790842 213.469219 \n",
       "L 465.941845 202.871268 \n",
       "L 466.24385 205.142003 \n",
       "L 466.394853 202.563799 \n",
       "L 466.545856 204.215242 \n",
       "L 466.696858 207.521234 \n",
       "L 466.847861 206.073516 \n",
       "L 466.998864 209.625635 \n",
       "L 467.149867 205.7712 \n",
       "L 467.300869 209.750106 \n",
       "L 467.451872 202.117271 \n",
       "L 467.602875 200.173207 \n",
       "L 467.753878 211.03095 \n",
       "L 467.90488 200.139374 \n",
       "L 468.055883 207.761373 \n",
       "L 468.206886 201.331346 \n",
       "L 468.357889 208.968952 \n",
       "L 468.508891 203.610082 \n",
       "L 468.659894 202.281443 \n",
       "L 468.810897 198.454936 \n",
       "L 469.112902 219.571154 \n",
       "L 469.263905 211.611854 \n",
       "L 469.414908 210.983194 \n",
       "L 469.415674 281.8 \n",
       "M 469.716073 281.8 \n",
       "L 469.716913 204.173405 \n",
       "L 469.867916 210.625665 \n",
       "L 470.018919 199.228462 \n",
       "L 470.320924 212.11587 \n",
       "L 470.471927 206.073516 \n",
       "L 470.62293 213.926386 \n",
       "L 470.773932 201.331346 \n",
       "L 470.924935 203.751727 \n",
       "L 471.075938 201.650838 \n",
       "L 471.226941 215.301052 \n",
       "L 471.528946 202.610352 \n",
       "L 471.679949 205.265374 \n",
       "L 471.981954 201.986206 \n",
       "L 472.132957 199.102763 \n",
       "L 472.434963 213.549928 \n",
       "L 472.585965 207.548304 \n",
       "L 472.736968 210.983194 \n",
       "L 473.038974 207.761373 \n",
       "L 473.189976 209.750106 \n",
       "L 473.340979 206.908728 \n",
       "L 473.491982 206.880454 \n",
       "L 473.642985 215.301052 \n",
       "L 473.793987 204.6682 \n",
       "L 473.94499 204.392697 \n",
       "L 474.095993 203.372865 \n",
       "L 474.246996 200.398099 \n",
       "L 474.397998 207.400425 \n",
       "L 474.549001 207.761373 \n",
       "L 474.700004 205.725727 \n",
       "L 474.851007 215.301052 \n",
       "L 475.002009 199.113798 \n",
       "L 475.304015 209.838694 \n",
       "L 475.60602 204.433403 \n",
       "L 475.757023 210.343617 \n",
       "L 475.908026 204.784743 \n",
       "L 476.059028 204.940654 \n",
       "L 476.210031 211.670527 \n",
       "L 476.512037 201.31847 \n",
       "L 476.965045 215.114315 \n",
       "L 477.26705 203.889524 \n",
       "L 477.418053 199.98989 \n",
       "L 477.569056 205.886778 \n",
       "L 477.720059 207.158435 \n",
       "L 477.871061 218.196488 \n",
       "L 478.022064 202.164934 \n",
       "L 478.173067 209.469547 \n",
       "L 478.32407 209.838694 \n",
       "L 478.626075 203.933655 \n",
       "L 478.777078 215.253296 \n",
       "L 478.928081 200.496876 \n",
       "L 479.079083 201.364035 \n",
       "L 479.230086 205.415196 \n",
       "L 479.381089 205.062996 \n",
       "L 479.532092 201.145094 \n",
       "L 479.683094 204.552968 \n",
       "L 479.834097 214.285337 \n",
       "L 479.9851 206.221395 \n",
       "L 480.136103 214.761599 \n",
       "L 480.287105 201.085431 \n",
       "L 480.438108 202.834055 \n",
       "L 480.589111 202.395234 \n",
       "L 480.740114 216.580205 \n",
       "L 481.042119 203.251132 \n",
       "L 481.344125 210.184179 \n",
       "L 481.64613 207.367284 \n",
       "L 481.797133 213.625817 \n",
       "L 481.948136 201.10731 \n",
       "L 482.099138 205.159392 \n",
       "L 482.250141 203.97447 \n",
       "L 482.401144 215.698639 \n",
       "L 482.703149 202.302417 \n",
       "L 482.854152 226.736692 \n",
       "L 483.156157 204.054945 \n",
       "L 483.30716 203.117796 \n",
       "L 483.458163 200.163301 \n",
       "L 483.911171 215.907488 \n",
       "L 484.062174 215.274098 \n",
       "L 484.213177 210.225008 \n",
       "L 484.364179 209.971741 \n",
       "L 484.515182 212.031475 \n",
       "L 484.666185 200.215288 \n",
       "L 484.817188 209.63315 \n",
       "L 484.96819 208.630118 \n",
       "L 485.270196 201.688714 \n",
       "L 485.421199 209.753302 \n",
       "L 485.572201 203.816813 \n",
       "L 485.723204 209.339361 \n",
       "L 485.874207 209.779187 \n",
       "L 486.02521 219.917616 \n",
       "L 486.176212 200.531846 \n",
       "L 486.327215 207.288134 \n",
       "L 486.478218 204.296768 \n",
       "L 486.629221 210.996876 \n",
       "L 486.931226 200.921652 \n",
       "L 487.082229 215.294292 \n",
       "L 487.233232 199.726033 \n",
       "L 487.384234 208.129501 \n",
       "L 487.535237 208.625034 \n",
       "L 487.68624 206.173638 \n",
       "L 487.837243 212.551721 \n",
       "L 488.139248 201.678118 \n",
       "L 488.290251 200.149358 \n",
       "L 488.592256 214.197904 \n",
       "L 488.743259 206.745658 \n",
       "L 488.894262 207.14137 \n",
       "L 489.196267 214.927577 \n",
       "L 489.34727 202.027336 \n",
       "L 489.498273 211.637386 \n",
       "L 489.649276 201.727355 \n",
       "L 489.800278 212.781886 \n",
       "L 489.951281 202.888333 \n",
       "L 490.102284 210.100772 \n",
       "L 490.253286 210.041302 \n",
       "L 490.404289 211.849638 \n",
       "L 490.706295 205.99687 \n",
       "L 490.857297 206.616873 \n",
       "L 491.0083 199.440845 \n",
       "L 491.159303 200.322412 \n",
       "L 491.310306 209.279826 \n",
       "L 491.461308 204.178604 \n",
       "L 491.612311 211.226537 \n",
       "L 491.763314 203.814649 \n",
       "L 491.914317 211.018942 \n",
       "L 492.065319 207.583463 \n",
       "L 492.216322 207.224158 \n",
       "L 492.367325 215.253296 \n",
       "L 492.518328 203.697844 \n",
       "L 492.66933 213.549928 \n",
       "L 492.820333 206.548736 \n",
       "L 492.971336 208.281619 \n",
       "L 493.122339 208.686596 \n",
       "L 493.273341 206.269743 \n",
       "L 493.424344 201.918644 \n",
       "L 493.575347 203.359874 \n",
       "L 493.72635 203.359874 \n",
       "L 493.877352 205.725727 \n",
       "L 494.028355 219.571154 \n",
       "L 494.330361 210.491497 \n",
       "L 494.632366 206.208797 \n",
       "L 494.783369 200.459316 \n",
       "L 494.934372 199.60377 \n",
       "L 495.085374 197.415136 \n",
       "L 495.38738 207.400425 \n",
       "L 495.538383 209.199117 \n",
       "L 495.689385 203.768761 \n",
       "L 495.991391 208.703505 \n",
       "L 496.142394 207.050818 \n",
       "L 496.293396 213.166001 \n",
       "L 496.595402 202.125275 \n",
       "L 496.746405 208.703505 \n",
       "L 496.897407 203.711227 \n",
       "L 497.04841 210.343617 \n",
       "L 497.199413 208.533101 \n",
       "L 497.350415 199.499798 \n",
       "L 497.501418 203.470529 \n",
       "L 497.652421 203.769899 \n",
       "L 497.803424 206.946834 \n",
       "L 497.954426 206.073516 \n",
       "L 498.105429 217.073305 \n",
       "L 498.256432 209.656285 \n",
       "L 498.407435 210.015235 \n",
       "L 498.558437 205.886778 \n",
       "L 498.70944 211.670527 \n",
       "L 499.011446 198.801548 \n",
       "L 499.162448 213.926386 \n",
       "L 499.313451 204.433403 \n",
       "L 499.464454 207.400425 \n",
       "L 499.615457 200.848868 \n",
       "L 499.766459 206.908728 \n",
       "L 499.917462 202.793964 \n",
       "L 500.068465 212.803203 \n",
       "L 500.219468 215.301052 \n",
       "L 500.37047 204.433403 \n",
       "L 500.521473 204.215242 \n",
       "L 500.672476 204.262999 \n",
       "L 500.823479 208.686596 \n",
       "L 500.974481 200.527336 \n",
       "L 501.125484 215.114315 \n",
       "L 501.276487 206.713092 \n",
       "L 501.42749 204.799029 \n",
       "L 501.578492 217.073305 \n",
       "L 501.880498 203.039131 \n",
       "L 502.031501 203.697844 \n",
       "L 502.182503 206.387373 \n",
       "L 502.333506 201.938695 \n",
       "L 502.484509 217.073305 \n",
       "L 502.786514 208.448706 \n",
       "L 503.08852 211.670527 \n",
       "L 503.239523 202.490747 \n",
       "L 503.541528 211.853564 \n",
       "L 503.843534 198.302951 \n",
       "L 503.994536 215.301052 \n",
       "L 504.145539 204.178604 \n",
       "L 504.296542 201.765149 \n",
       "L 504.447544 211.670527 \n",
       "L 504.598547 205.317646 \n",
       "L 504.74955 210.343617 \n",
       "L 504.900553 201.068324 \n",
       "L 505.202558 206.946834 \n",
       "L 505.353561 207.583463 \n",
       "L 505.504564 201.596359 \n",
       "L 505.655566 204.215242 \n",
       "L 505.806569 212.402609 \n",
       "L 505.957572 198.503187 \n",
       "L 506.108575 209.656285 \n",
       "L 506.259577 202.256252 \n",
       "L 506.41058 206.073516 \n",
       "L 506.561583 204.43906 \n",
       "L 506.712586 207.400425 \n",
       "L 506.863588 200.871901 \n",
       "L 507.014591 202.117271 \n",
       "L 507.316597 198.111311 \n",
       "L 507.618602 206.574111 \n",
       "L 507.769605 204.799029 \n",
       "L 507.920608 208.132508 \n",
       "L 508.07161 203.938465 \n",
       "L 508.222613 206.908728 \n",
       "L 508.373616 199.908502 \n",
       "L 508.675621 206.035251 \n",
       "L 508.826624 205.355533 \n",
       "L 508.977627 206.574111 \n",
       "L 509.12863 201.501098 \n",
       "L 509.279632 207.400425 \n",
       "L 509.581638 202.117271 \n",
       "L 509.883643 219.571154 \n",
       "L 510.185649 202.793964 \n",
       "L 510.487654 215.301052 \n",
       "L 510.638657 203.251132 \n",
       "L 510.78966 202.834055 \n",
       "L 510.940663 199.0081 \n",
       "L 511.091665 201.727355 \n",
       "L 511.242668 201.501098 \n",
       "L 511.393671 209.656285 \n",
       "L 511.695676 203.575666 \n",
       "L 511.997682 206.073516 \n",
       "L 512.148684 202.074931 \n",
       "L 512.299687 208.895899 \n",
       "L 512.45069 202.793964 \n",
       "L 512.601693 202.793964 \n",
       "L 512.752695 205.009725 \n",
       "L 512.903698 210.343617 \n",
       "L 513.205704 205.386183 \n",
       "L 513.356706 205.265374 \n",
       "L 513.658712 197.671108 \n",
       "L 513.809715 215.301052 \n",
       "L 513.960717 205.265374 \n",
       "L 514.11172 210.343617 \n",
       "L 514.262723 208.208566 \n",
       "L 514.413726 211.670527 \n",
       "L 514.866734 200.185991 \n",
       "L 515.017737 202.304009 \n",
       "L 515.168739 200.739623 \n",
       "L 515.319742 204.929015 \n",
       "L 515.470745 204.178604 \n",
       "L 515.621748 212.803203 \n",
       "L 515.77275 202.638626 \n",
       "L 515.923753 206.073516 \n",
       "L 516.074756 205.386183 \n",
       "L 516.225759 210.844213 \n",
       "L 516.376761 201.201974 \n",
       "L 516.527764 199.95041 \n",
       "L 516.82977 214.613719 \n",
       "L 516.980772 205.386183 \n",
       "L 517.131775 204.929015 \n",
       "L 517.282778 207.400425 \n",
       "L 517.584783 198.355926 \n",
       "L 517.886789 206.908728 \n",
       "L 518.037791 203.175073 \n",
       "L 518.188794 212.803203 \n",
       "L 518.4908 203.697844 \n",
       "L 518.641802 207.341752 \n",
       "L 518.792805 205.265374 \n",
       "L 518.943808 208.533101 \n",
       "L 519.094811 203.938465 \n",
       "L 519.245813 207.400425 \n",
       "L 519.396816 202.44299 \n",
       "L 519.547819 203.575666 \n",
       "L 519.698822 198.355926 \n",
       "L 519.849824 199.427742 \n",
       "L 520.000827 203.938465 \n",
       "L 520.302833 202.304009 \n",
       "L 520.604838 208.132508 \n",
       "L 520.755841 202.44299 \n",
       "L 520.906844 210.844213 \n",
       "L 521.057846 200.658913 \n",
       "L 521.208849 205.745133 \n",
       "L 521.359852 199.481625 \n",
       "L 521.510855 198.172888 \n",
       "L 521.661857 205.386183 \n",
       "L 521.81286 205.480004 \n",
       "L 521.963863 207.583463 \n",
       "L 522.114866 204.178604 \n",
       "L 522.265868 211.03095 \n",
       "L 522.416871 197.086118 \n",
       "L 522.567874 208.895899 \n",
       "L 522.718877 200.658913 \n",
       "L 522.869879 210.343617 \n",
       "L 523.020882 205.386183 \n",
       "L 523.171885 219.571154 \n",
       "L 523.322888 214.613719 \n",
       "L 523.47389 203.130323 \n",
       "L 523.624893 203.575666 \n",
       "L 523.775896 197.373873 \n",
       "L 523.926899 208.208566 \n",
       "L 524.077901 210.343617 \n",
       "L 524.379907 200.739623 \n",
       "L 524.53091 205.386183 \n",
       "L 524.681912 204.43906 \n",
       "L 524.832915 215.301052 \n",
       "L 524.983918 207.400425 \n",
       "L 525.13492 207.400425 \n",
       "L 525.436926 200.739623 \n",
       "L 525.587929 206.073516 \n",
       "L 525.738931 202.127948 \n",
       "L 525.889934 206.073516 \n",
       "L 526.19194 198.860221 \n",
       "L 526.342942 206.574111 \n",
       "L 526.493945 208.208566 \n",
       "L 526.644948 215.301052 \n",
       "L 526.795951 208.533101 \n",
       "L 526.946953 215.301052 \n",
       "L 527.248959 204.625797 \n",
       "L 527.399962 204.929015 \n",
       "L 527.550964 203.07165 \n",
       "L 527.701967 203.575666 \n",
       "L 527.85297 199.592304 \n",
       "L 528.003973 203.938465 \n",
       "L 528.154975 203.862406 \n",
       "L 528.305978 203.130323 \n",
       "L 528.456981 203.575666 \n",
       "L 528.607984 208.208566 \n",
       "L 528.758986 202.44299 \n",
       "L 529.060992 210.343617 \n",
       "L 529.211995 213.166001 \n",
       "L 529.362997 197.373873 \n",
       "L 529.514 206.574111 \n",
       "L 529.665003 204.929015 \n",
       "L 529.816006 201.616676 \n",
       "L 529.967008 211.03095 \n",
       "L 530.118011 200.168958 \n",
       "L 530.420017 206.760848 \n",
       "L 530.571019 204.929015 \n",
       "L 530.722022 210.343617 \n",
       "L 530.873025 202.127948 \n",
       "L 531.024028 213.166001 \n",
       "L 531.17503 202.793964 \n",
       "L 531.326033 203.938465 \n",
       "L 531.477036 200.739623 \n",
       "L 531.628039 202.793964 \n",
       "L 531.779041 200.355696 \n",
       "L 531.930044 210.343617 \n",
       "L 532.081047 205.386183 \n",
       "L 532.383052 210.343617 \n",
       "L 532.534055 210.343617 \n",
       "L 532.685058 200.307939 \n",
       "L 532.83606 211.03095 \n",
       "L 532.987063 205.386183 \n",
       "L 533.138066 211.03095 \n",
       "L 533.289069 202.793964 \n",
       "L 533.440071 215.301052 \n",
       "L 533.742077 203.575666 \n",
       "L 533.89308 203.938465 \n",
       "L 534.044082 204.929015 \n",
       "L 534.346088 210.343617 \n",
       "L 534.497091 210.343617 \n",
       "L 534.799096 203.251132 \n",
       "L 534.950099 199.288499 \n",
       "L 535.101102 202.043553 \n",
       "L 535.252104 215.301052 \n",
       "L 535.252824 281.8 \n",
       "M 535.553282 281.8 \n",
       "L 535.55411 205.265374 \n",
       "L 535.705113 198.393876 \n",
       "L 535.856115 202.043553 \n",
       "L 536.007118 201.440615 \n",
       "L 536.158121 196.073585 \n",
       "L 536.309124 206.574111 \n",
       "L 536.460126 208.895899 \n",
       "L 536.611129 204.178604 \n",
       "L 536.762132 207.400425 \n",
       "L 536.913135 207.400425 \n",
       "L 537.064137 208.208566 \n",
       "L 537.21514 205.265374 \n",
       "L 537.366143 210.343617 \n",
       "L 537.517146 197.60144 \n",
       "L 537.668148 200.428748 \n",
       "L 537.819151 210.343617 \n",
       "L 537.970154 200.850634 \n",
       "L 538.272159 210.343617 \n",
       "L 538.423162 211.03095 \n",
       "L 538.725168 211.03095 \n",
       "L 538.87617 199.97158 \n",
       "L 539.027173 199.288499 \n",
       "L 539.329178 205.265374 \n",
       "L 539.480181 202.638626 \n",
       "L 539.631184 206.073516 \n",
       "L 539.782187 201.475031 \n",
       "L 539.933189 202.638626 \n",
       "L 540.084192 201.116081 \n",
       "L 540.235195 206.073516 \n",
       "L 540.688203 200.936599 \n",
       "L 540.990209 208.208566 \n",
       "L 541.141211 203.130323 \n",
       "L 541.292214 203.130323 \n",
       "L 541.443217 206.574111 \n",
       "L 541.59422 207.400425 \n",
       "L 541.745222 208.895899 \n",
       "L 541.896225 205.265374 \n",
       "L 542.047228 198.950381 \n",
       "L 542.198231 206.574111 \n",
       "L 542.500236 197.671108 \n",
       "L 542.651239 208.208566 \n",
       "L 542.802242 200.428748 \n",
       "L 543.104247 201.616676 \n",
       "L 543.25525 203.862406 \n",
       "L 543.406253 203.862406 \n",
       "L 543.557255 206.073516 \n",
       "L 543.708258 200.168958 \n",
       "L 544.010264 197.671108 \n",
       "L 544.312269 213.166001 \n",
       "L 544.463272 199.97158 \n",
       "L 544.614275 204.929015 \n",
       "L 544.765277 204.625797 \n",
       "L 544.91628 199.95041 \n",
       "L 545.067283 200.355696 \n",
       "L 545.218286 205.265374 \n",
       "L 545.369288 197.346574 \n",
       "L 545.671294 208.208566 \n",
       "L 545.973299 201.116081 \n",
       "L 546.124302 211.03095 \n",
       "L 546.275305 201.727355 \n",
       "L 546.426307 206.574111 \n",
       "L 546.57731 203.938465 \n",
       "L 546.728313 211.03095 \n",
       "L 546.879316 203.862406 \n",
       "L 547.030318 203.938465 \n",
       "L 547.181321 201.116081 \n",
       "L 547.332324 201.17831 \n",
       "L 547.483327 210.343617 \n",
       "L 547.4841 281.8 \n",
       "M 547.784449 281.8 \n",
       "L 547.785332 200.168958 \n",
       "L 547.936335 208.895899 \n",
       "L 548.087338 203.862406 \n",
       "L 548.23834 206.574111 \n",
       "L 548.389343 202.44299 \n",
       "L 548.540346 208.533101 \n",
       "L 548.691349 202.127948 \n",
       "L 548.842351 204.929015 \n",
       "L 548.993354 199.97158 \n",
       "L 549.144357 201.803414 \n",
       "L 549.29536 200.307939 \n",
       "L 549.446362 208.208566 \n",
       "L 549.597365 201.727355 \n",
       "L 549.748368 204.262999 \n",
       "L 549.899371 203.862406 \n",
       "L 550.050373 206.073516 \n",
       "L 550.201376 204.262999 \n",
       "L 550.352379 204.69885 \n",
       "L 550.503382 202.304009 \n",
       "L 550.654384 202.338171 \n",
       "L 550.805387 206.574111 \n",
       "L 550.95639 205.386183 \n",
       "L 551.107393 201.951293 \n",
       "L 551.258395 203.575666 \n",
       "L 551.409398 203.130323 \n",
       "L 551.560401 215.301052 \n",
       "L 551.711404 202.780716 \n",
       "L 551.862406 206.760848 \n",
       "L 552.013409 206.574111 \n",
       "L 552.164412 198.904971 \n",
       "L 552.315415 199.118827 \n",
       "L 552.61742 214.613719 \n",
       "L 552.768423 201.440615 \n",
       "L 552.919426 201.432071 \n",
       "L 553.070428 204.69885 \n",
       "L 553.221431 205.386183 \n",
       "L 553.372434 201.951293 \n",
       "L 553.523436 204.69885 \n",
       "L 553.674439 201.398129 \n",
       "L 553.825442 210.343617 \n",
       "L 554.127447 199.499798 \n",
       "L 554.27845 206.355563 \n",
       "L 554.429453 199.481625 \n",
       "L 554.580456 203.697844 \n",
       "L 554.882461 198.355926 \n",
       "L 555.033464 213.166001 \n",
       "L 555.335469 203.130323 \n",
       "L 555.486472 199.09077 \n",
       "L 555.788478 211.03095 \n",
       "L 555.93948 201.440615 \n",
       "L 556.090483 208.895899 \n",
       "L 556.241486 199.668363 \n",
       "L 556.392489 206.035251 \n",
       "L 556.543491 200.398099 \n",
       "L 556.694494 203.491271 \n",
       "L 556.845497 199.781096 \n",
       "L 556.9965 203.491271 \n",
       "L 557.147502 202.384317 \n",
       "L 557.298505 199.663554 \n",
       "L 557.449508 204.241682 \n",
       "L 557.600511 200.163301 \n",
       "L 557.751513 210.844213 \n",
       "L 557.902516 203.862406 \n",
       "L 558.053519 210.343617 \n",
       "L 558.204522 209.656285 \n",
       "L 558.355524 201.432071 \n",
       "L 558.65753 202.888333 \n",
       "L 558.808533 199.221169 \n",
       "L 558.959535 211.03095 \n",
       "L 559.261541 198.563953 \n",
       "L 559.412544 200.632473 \n",
       "L 559.563546 208.895899 \n",
       "L 559.714549 201.765149 \n",
       "L 559.865552 200.995272 \n",
       "L 560.016555 206.713092 \n",
       "L 560.31856 201.432071 \n",
       "L 560.469563 205.480004 \n",
       "L 560.620565 215.301052 \n",
       "L 560.771568 201.364556 \n",
       "L 560.922571 205.386183 \n",
       "L 561.073574 204.416494 \n",
       "L 561.224576 204.799029 \n",
       "L 561.375579 203.313361 \n",
       "L 561.526582 198.40663 \n",
       "L 561.677585 206.713092 \n",
       "L 561.828587 200.658913 \n",
       "L 562.130593 209.656285 \n",
       "L 562.281596 200.146392 \n",
       "L 562.583601 207.583463 \n",
       "L 562.734604 202.676732 \n",
       "L 562.885607 201.871541 \n",
       "L 563.187612 208.533101 \n",
       "L 563.489618 200.146392 \n",
       "L 563.64062 202.676732 \n",
       "L 563.791623 208.895899 \n",
       "L 563.942626 198.217638 \n",
       "L 564.093629 204.625797 \n",
       "L 564.244631 202.676732 \n",
       "L 564.395634 207.583463 \n",
       "L 564.546637 206.713092 \n",
       "L 564.69764 210.844213 \n",
       "L 564.848642 201.209902 \n",
       "L 565.301651 207.583463 \n",
       "L 565.452653 196.72332 \n",
       "L 565.603656 205.386183 \n",
       "L 565.754659 203.862406 \n",
       "L 565.905662 200.255084 \n",
       "L 566.207667 211.03095 \n",
       "L 566.660675 197.986151 \n",
       "L 566.811678 210.015235 \n",
       "L 566.962681 205.568592 \n",
       "L 567.113684 205.199445 \n",
       "L 567.264686 199.835236 \n",
       "L 567.415689 198.463875 \n",
       "L 567.566692 205.480004 \n",
       "L 567.717694 205.199445 \n",
       "L 568.0197 200.848868 \n",
       "L 568.170703 206.221395 \n",
       "L 568.472708 199.427742 \n",
       "L 568.623711 201.871541 \n",
       "L 568.774714 209.06913 \n",
       "L 568.925716 209.06913 \n",
       "L 569.076719 199.31306 \n",
       "L 569.227722 208.895899 \n",
       "L 569.378725 207.400425 \n",
       "L 569.529727 208.040001 \n",
       "L 569.68073 209.279826 \n",
       "L 569.982736 201.455625 \n",
       "L 570.284741 209.656285 \n",
       "L 570.435744 199.865873 \n",
       "L 570.737749 212.803203 \n",
       "L 570.888752 198.949428 \n",
       "L 571.039755 199.784843 \n",
       "L 571.190758 206.073516 \n",
       "L 571.34176 205.568592 \n",
       "L 571.643766 200.848868 \n",
       "L 571.794769 200.995272 \n",
       "L 571.945771 200.528927 \n",
       "L 572.096774 206.760848 \n",
       "L 572.247777 204.525185 \n",
       "L 572.39878 211.03095 \n",
       "L 572.549782 198.934221 \n",
       "L 572.700785 200.963963 \n",
       "L 572.851788 210.983194 \n",
       "L 573.002791 198.82708 \n",
       "L 573.304796 204.337421 \n",
       "L 573.455799 202.037705 \n",
       "L 573.606802 204.241682 \n",
       "L 573.757804 200.848868 \n",
       "L 573.908807 210.015235 \n",
       "L 574.210813 202.037705 \n",
       "L 574.361815 203.5237 \n",
       "L 574.512818 206.74884 \n",
       "L 574.663821 206.733894 \n",
       "L 574.814823 206.149033 \n",
       "L 574.965826 219.571154 \n",
       "L 575.116829 203.130323 \n",
       "L 575.267832 206.654419 \n",
       "L 575.418834 201.281684 \n",
       "L 575.569837 201.068324 \n",
       "L 575.72084 204.262999 \n",
       "L 575.871843 210.015235 \n",
       "L 576.173848 199.903303 \n",
       "L 576.324851 207.158435 \n",
       "L 576.626856 200.26155 \n",
       "L 576.928862 210.100772 \n",
       "L 577.079865 207.670123 \n",
       "L 577.230867 200.527336 \n",
       "L 577.38187 202.348027 \n",
       "L 577.532873 202.214033 \n",
       "L 577.683876 206.323426 \n",
       "L 577.834878 196.72517 \n",
       "L 578.136884 205.444363 \n",
       "L 578.287887 210.100772 \n",
       "L 578.438889 210.924521 \n",
       "L 578.589892 202.339916 \n",
       "L 578.740895 200.399046 \n",
       "L 578.891898 202.450113 \n",
       "L 579.0429 197.423359 \n",
       "L 579.193903 206.76507 \n",
       "L 579.344906 202.278634 \n",
       "L 579.495909 209.499473 \n",
       "L 579.797914 205.569837 \n",
       "L 579.948917 204.195867 \n",
       "L 580.250922 207.367284 \n",
       "L 580.401925 226.736692 \n",
       "L 580.552928 202.557981 \n",
       "L 580.703931 209.971741 \n",
       "L 580.854933 203.792121 \n",
       "L 581.005936 205.199445 \n",
       "L 581.156939 208.038862 \n",
       "L 581.307942 206.073516 \n",
       "L 581.458944 208.607522 \n",
       "L 581.609947 198.503187 \n",
       "L 581.911952 202.48774 \n",
       "L 582.062955 199.042277 \n",
       "L 582.364961 201.602553 \n",
       "L 582.515963 205.47802 \n",
       "L 582.817969 203.723545 \n",
       "L 582.968972 199.846371 \n",
       "L 583.119974 208.3213 \n",
       "L 583.270977 203.470529 \n",
       "L 583.42198 202.69516 \n",
       "L 583.572983 203.383899 \n",
       "L 583.723985 200.228631 \n",
       "L 583.874988 203.769899 \n",
       "L 584.025991 204.198177 \n",
       "L 584.176994 200.361341 \n",
       "L 584.327996 208.132508 \n",
       "L 584.630002 201.698728 \n",
       "L 584.932007 199.553808 \n",
       "L 585.08301 210.184179 \n",
       "L 585.234013 204.051198 \n",
       "L 585.385016 204.257656 \n",
       "L 585.536018 203.07165 \n",
       "L 585.687021 203.491271 \n",
       "L 585.838024 206.760848 \n",
       "L 585.989027 204.525185 \n",
       "L 586.291032 210.844213 \n",
       "L 586.442035 201.432071 \n",
       "L 586.74404 205.7712 \n",
       "L 586.895043 202.954056 \n",
       "L 587.046046 210.844213 \n",
       "L 587.197049 209.279826 \n",
       "L 587.348051 204.929015 \n",
       "L 587.499054 210.625665 \n",
       "L 587.650057 204.011517 \n",
       "L 587.80106 202.301179 \n",
       "L 587.952062 197.128027 \n",
       "L 588.405071 211.853564 \n",
       "L 588.556073 201.29849 \n",
       "L 588.707076 200.163301 \n",
       "L 588.858079 203.537402 \n",
       "L 589.009081 198.904032 \n",
       "L 589.160084 201.455625 \n",
       "L 589.311087 201.938695 \n",
       "L 589.46209 205.745133 \n",
       "L 589.613092 223.841256 \n",
       "L 589.915098 201.116081 \n",
       "L 590.368106 208.895899 \n",
       "L 590.519109 203.938465 \n",
       "L 590.670112 202.888333 \n",
       "L 590.821114 206.713092 \n",
       "L 591.12312 199.200427 \n",
       "L 591.425125 204.241682 \n",
       "L 591.576128 199.663554 \n",
       "L 591.727131 202.676732 \n",
       "L 591.878134 198.98103 \n",
       "L 592.029136 201.116081 \n",
       "L 592.180139 201.501098 \n",
       "L 592.331142 206.713092 \n",
       "L 592.482145 204.416494 \n",
       "L 592.633147 207.400425 \n",
       "L 592.78415 207.583463 \n",
       "L 592.935153 202.888333 \n",
       "L 593.086156 202.304009 \n",
       "L 593.237158 209.656285 \n",
       "L 593.388161 201.475031 \n",
       "L 593.539164 202.117271 \n",
       "L 593.690167 212.803203 \n",
       "L 593.841169 202.676732 \n",
       "L 593.992172 205.386183 \n",
       "L 594.143175 200.850634 \n",
       "L 594.294178 207.400425 \n",
       "L 594.44518 207.583463 \n",
       "L 594.596183 198.904971 \n",
       "L 594.898189 210.343617 \n",
       "L 595.049191 201.616676 \n",
       "L 595.200194 203.130323 \n",
       "L 595.351197 198.36537 \n",
       "L 595.5022 200.995272 \n",
       "L 595.653202 200.929343 \n",
       "L 595.804205 219.571154 \n",
       "L 595.955208 206.713092 \n",
       "L 596.10621 209.656285 \n",
       "L 596.257213 201.765149 \n",
       "L 596.408216 206.713092 \n",
       "L 596.559219 219.571154 \n",
       "L 596.710221 203.130323 \n",
       "L 597.16323 199.592304 \n",
       "L 597.314232 202.676732 \n",
       "L 597.465235 219.571154 \n",
       "L 597.767241 201.616676 \n",
       "L 597.918243 202.676732 \n",
       "L 598.069246 215.301052 \n",
       "L 598.371252 201.803414 \n",
       "L 598.522254 211.03095 \n",
       "L 598.673257 204.625797 \n",
       "L 598.975263 203.491271 \n",
       "L 599.277268 206.760848 \n",
       "L 599.428271 210.844213 \n",
       "L 599.579274 201.29849 \n",
       "L 599.730276 210.844213 \n",
       "L 599.881279 198.34025 \n",
       "L 600.032282 204.416494 \n",
       "L 600.183285 215.301052 \n",
       "L 600.334287 199.427742 \n",
       "L 600.48529 206.073516 \n",
       "L 600.636293 199.305564 \n",
       "L 600.787296 204.076261 \n",
       "L 601.089301 196.969715 \n",
       "L 601.240304 211.03095 \n",
       "L 601.391307 200.146392 \n",
       "L 601.542309 211.03095 \n",
       "L 601.844315 202.304009 \n",
       "L 601.995318 206.760848 \n",
       "L 602.14632 206.073516 \n",
       "L 602.297323 200.995272 \n",
       "L 602.448326 208.895899 \n",
       "L 602.599329 207.400425 \n",
       "L 602.750331 202.490747 \n",
       "L 602.901334 203.938465 \n",
       "L 603.052337 202.44299 \n",
       "L 603.203339 208.895899 \n",
       "L 603.354342 204.929015 \n",
       "L 603.505345 208.533101 \n",
       "L 603.656348 208.895899 \n",
       "L 603.80735 206.760848 \n",
       "L 604.109356 200.632473 \n",
       "L 604.260359 204.929015 \n",
       "L 604.26119 281.8 \n",
       "M 604.561598 281.8 \n",
       "L 604.562364 211.03095 \n",
       "L 604.713367 211.03095 \n",
       "L 604.86437 203.938465 \n",
       "L 605.015372 206.073516 \n",
       "L 605.166375 204.625797 \n",
       "L 605.317378 200.658913 \n",
       "L 605.468381 202.127948 \n",
       "L 605.619383 202.44299 \n",
       "L 605.770386 211.03095 \n",
       "L 605.921389 208.533101 \n",
       "L 606.072392 197.028388 \n",
       "L 606.374397 204.929015 \n",
       "L 606.5254 202.304009 \n",
       "L 606.676403 203.938465 \n",
       "L 606.827405 207.400425 \n",
       "L 607.129411 198.40663 \n",
       "L 607.431416 202.304009 \n",
       "L 607.582419 207.400425 \n",
       "L 607.733422 201.116081 \n",
       "L 607.884425 201.616676 \n",
       "L 608.18643 199.668363 \n",
       "L 608.337433 211.03095 \n",
       "L 608.488436 208.895899 \n",
       "L 608.639438 210.343617 \n",
       "L 608.941444 201.116081 \n",
       "L 609.092447 206.574111 \n",
       "L 609.243449 199.305564 \n",
       "L 609.545455 203.313361 \n",
       "L 609.84746 200.168958 \n",
       "L 609.998463 200.168958 \n",
       "L 610.149466 201.475031 \n",
       "L 610.300468 206.760848 \n",
       "L 610.451471 202.127948 \n",
       "L 610.602474 201.765149 \n",
       "L 610.753477 210.343617 \n",
       "L 611.055482 201.116081 \n",
       "L 611.206485 200.739623 \n",
       "L 611.357488 203.313361 \n",
       "L 611.50849 211.03095 \n",
       "L 611.810496 203.862406 \n",
       "L 611.961499 198.860221 \n",
       "L 612.112501 202.490747 \n",
       "L 612.263504 201.765149 \n",
       "L 612.56551 198.510614 \n",
       "L 612.867515 208.533101 \n",
       "L 613.018518 200.632473 \n",
       "L 613.169521 200.355696 \n",
       "L 613.320523 201.116081 \n",
       "L 613.471526 203.575666 \n",
       "L 613.773532 198.563953 \n",
       "L 613.924534 210.343617 \n",
       "L 614.22654 206.760848 \n",
       "L 614.377543 202.127948 \n",
       "L 614.679548 206.073516 \n",
       "L 614.830551 204.178604 \n",
       "L 614.981554 210.343617 \n",
       "L 615.132556 201.616676 \n",
       "L 615.283559 207.400425 \n",
       "L 615.434562 201.116081 \n",
       "L 615.736567 210.343617 \n",
       "L 616.189576 200.658913 \n",
       "L 616.340578 203.575666 \n",
       "L 616.491581 210.343617 \n",
       "L 616.642584 201.803414 \n",
       "L 616.793587 199.97158 \n",
       "L 617.095592 208.895899 \n",
       "L 617.246595 205.386183 \n",
       "L 617.397597 198.114215 \n",
       "L 617.5486 196.252467 \n",
       "L 617.699603 211.03095 \n",
       "L 617.850606 198.860221 \n",
       "L 618.001608 198.904971 \n",
       "L 618.303614 203.938465 \n",
       "L 618.454617 203.575666 \n",
       "L 618.605619 202.44299 \n",
       "L 618.907625 208.895899 \n",
       "L 619.058628 206.574111 \n",
       "L 619.20963 208.895899 \n",
       "L 619.360633 215.301052 \n",
       "L 619.511636 202.638626 \n",
       "L 619.662639 208.533101 \n",
       "L 619.964644 196.580532 \n",
       "L 620.115647 201.616676 \n",
       "L 620.26665 200.168958 \n",
       "L 620.417652 201.803414 \n",
       "L 620.568655 206.760848 \n",
       "L 620.719658 200.355696 \n",
       "L 620.870661 203.938465 \n",
       "L 621.021663 202.304009 \n",
       "L 621.172666 197.485555 \n",
       "L 621.323669 208.533101 \n",
       "L 621.474672 198.172888 \n",
       "L 621.776677 211.03095 \n",
       "L 621.92768 200.632473 \n",
       "L 622.078683 208.895899 \n",
       "L 622.229685 207.400425 \n",
       "L 622.380688 197.857846 \n",
       "L 622.531691 203.938465 \n",
       "L 622.682694 198.172888 \n",
       "L 622.833696 211.03095 \n",
       "L 623.135702 198.98103 \n",
       "L 623.437707 208.895899 \n",
       "L 623.58871 203.938465 \n",
       "L 623.739713 204.625797 \n",
       "L 623.890716 203.130323 \n",
       "L 624.041718 198.368524 \n",
       "L 624.192721 203.130323 \n",
       "L 624.343724 202.304009 \n",
       "L 624.494726 203.130323 \n",
       "L 624.645729 203.130323 \n",
       "L 624.796732 203.938465 \n",
       "L 624.947735 203.938465 \n",
       "L 625.098737 198.98103 \n",
       "L 625.24974 211.03095 \n",
       "L 625.400743 198.523862 \n",
       "L 625.551746 200.658913 \n",
       "L 625.702748 206.073516 \n",
       "L 625.853751 200.355696 \n",
       "L 626.004754 208.895899 \n",
       "L 626.155757 201.803414 \n",
       "L 626.306759 206.073516 \n",
       "L 626.457762 206.073516 \n",
       "L 626.608765 203.938465 \n",
       "L 626.759768 196.037837 \n",
       "L 626.91077 211.03095 \n",
       "L 627.061773 204.262999 \n",
       "L 627.212776 211.03095 \n",
       "L 627.363779 202.127948 \n",
       "L 627.665784 202.127948 \n",
       "L 627.816787 199.305564 \n",
       "L 627.96779 206.760848 \n",
       "L 628.118792 198.860221 \n",
       "L 628.269795 200.355696 \n",
       "L 628.420798 204.625797 \n",
       "L 628.722803 202.304009 \n",
       "L 628.873806 206.073516 \n",
       "L 629.024809 204.625797 \n",
       "L 629.175812 211.03095 \n",
       "L 629.326814 196.085594 \n",
       "L 629.477817 199.592304 \n",
       "L 629.62882 208.895899 \n",
       "L 629.779823 208.895899 \n",
       "L 629.930825 200.168958 \n",
       "L 630.081828 200.168958 \n",
       "L 630.383834 206.073516 \n",
       "L 630.685839 200.355696 \n",
       "L 630.836842 208.533101 \n",
       "L 630.987845 208.895899 \n",
       "L 631.138847 210.343617 \n",
       "L 631.28985 200.995272 \n",
       "L 631.440853 200.739623 \n",
       "L 631.591855 207.400425 \n",
       "L 632.044864 198.368524 \n",
       "L 632.195866 202.085461 \n",
       "L 632.346869 202.127948 \n",
       "L 632.497872 198.368524 \n",
       "L 632.648875 210.343617 \n",
       "L 632.799877 204.625797 \n",
       "L 632.95088 215.301052 \n",
       "L 633.101883 204.929015 \n",
       "L 633.403888 200.168958 \n",
       "L 633.554891 204.929015 \n",
       "L 633.856897 196.666497 \n",
       "L 634.007899 207.400425 \n",
       "L 634.460908 197.128027 \n",
       "L 634.61191 203.130323 \n",
       "L 634.762913 200.428748 \n",
       "L 634.913916 204.178604 \n",
       "L 635.064919 204.625797 \n",
       "L 635.215921 210.343617 \n",
       "L 635.517927 199.88776 \n",
       "L 635.66893 196.469521 \n",
       "L 635.970935 206.760848 \n",
       "L 636.121938 200.428748 \n",
       "L 636.272941 201.803414 \n",
       "L 636.423943 195.826113 \n",
       "L 636.574946 215.301052 \n",
       "L 636.725949 211.03095 \n",
       "L 636.876952 197.847169 \n",
       "L 637.027954 199.305564 \n",
       "L 637.178957 203.130323 \n",
       "L 637.32996 199.726665 \n",
       "L 637.480963 201.475031 \n",
       "L 637.631965 199.288499 \n",
       "L 637.782968 202.127948 \n",
       "L 637.933971 210.343617 \n",
       "L 638.084973 197.230996 \n",
       "L 638.235976 203.938465 \n",
       "L 638.386979 198.860221 \n",
       "L 638.387876 281.8 \n",
       "M 638.688092 281.8 \n",
       "L 638.688984 199.288499 \n",
       "L 638.839987 197.60144 \n",
       "L 639.141993 206.073516 \n",
       "L 639.292995 200.168958 \n",
       "L 639.443998 201.116081 \n",
       "L 639.595001 200.355696 \n",
       "L 639.746004 202.490747 \n",
       "L 639.897006 201.616676 \n",
       "L 640.048009 197.815359 \n",
       "L 640.199012 201.616676 \n",
       "L 640.350015 200.995272 \n",
       "L 640.501017 206.574111 \n",
       "L 640.65202 206.073516 \n",
       "L 640.803023 197.094454 \n",
       "L 641.105028 202.638626 \n",
       "L 641.256031 199.592304 \n",
       "L 641.407034 203.862406 \n",
       "L 641.558037 197.346574 \n",
       "L 641.860042 201.116081 \n",
       "L 642.162048 198.904971 \n",
       "L 642.31305 207.400425 \n",
       "L 642.464053 203.130323 \n",
       "L 642.615056 206.073516 \n",
       "L 642.766059 206.574111 \n",
       "L 642.917061 200.658913 \n",
       "L 643.068064 206.574111 \n",
       "L 643.219067 205.386183 \n",
       "L 643.37007 198.98103 \n",
       "L 643.521072 204.178604 \n",
       "L 643.672075 204.625797 \n",
       "L 643.823078 196.601799 \n",
       "L 643.974081 203.575666 \n",
       "L 643.974927 281.8 \n",
       "M 644.275281 281.8 \n",
       "L 644.276086 207.400425 \n",
       "L 644.427089 197.681191 \n",
       "L 644.578092 203.938465 \n",
       "L 644.729094 197.60144 \n",
       "L 644.880097 203.938465 \n",
       "L 645.0311 204.929015 \n",
       "L 645.182102 199.305564 \n",
       "L 645.333105 208.533101 \n",
       "L 645.484108 198.98103 \n",
       "L 645.635111 208.895899 \n",
       "L 645.786113 200.168958 \n",
       "L 646.088119 200.739623 \n",
       "L 646.239122 198.368524 \n",
       "L 646.390124 215.301052 \n",
       "L 646.541127 199.288499 \n",
       "L 646.69213 203.938465 \n",
       "L 646.692972 281.8 \n",
       "M 646.993296 281.8 \n",
       "L 646.994135 204.178604 \n",
       "L 647.145138 205.386183 \n",
       "L 647.296141 203.313361 \n",
       "L 647.29699 281.8 \n",
       "M 647.59725 281.8 \n",
       "L 647.598146 198.904971 \n",
       "L 647.749149 202.304009 \n",
       "L 647.900152 202.304009 \n",
       "L 648.051155 204.929015 \n",
       "L 648.202157 203.130323 \n",
       "L 648.35316 204.178604 \n",
       "L 648.655166 201.116081 \n",
       "L 648.806168 208.895899 \n",
       "L 648.806957 281.8 \n",
       "M 649.107295 281.8 \n",
       "L 649.108174 200.528927 \n",
       "L 649.259177 210.343617 \n",
       "L 649.561182 197.485555 \n",
       "L 649.863188 206.073516 \n",
       "L 650.165193 202.44299 \n",
       "L 650.316196 202.44299 \n",
       "L 650.467199 206.073516 \n",
       "L 650.618201 196.252467 \n",
       "L 650.769204 196.408791 \n",
       "L 650.920207 200.658913 \n",
       "L 651.07121 197.170513 \n",
       "L 651.373215 207.400425 \n",
       "L 651.675221 199.908502 \n",
       "L 651.977226 208.533101 \n",
       "L 651.978019 281.8 \n",
       "M 652.278331 281.8 \n",
       "L 652.279231 198.563953 \n",
       "L 652.430234 200.995272 \n",
       "L 652.581237 198.860221 \n",
       "L 652.73224 211.03095 \n",
       "L 653.034245 197.533312 \n",
       "L 653.185248 211.03095 \n",
       "L 653.336251 201.803414 \n",
       "L 653.487253 210.343617 \n",
       "L 653.638256 200.850634 \n",
       "L 653.789259 198.368524 \n",
       "L 653.940262 199.09077 \n",
       "L 654.091264 203.862406 \n",
       "L 654.242267 200.658913 \n",
       "L 654.39327 205.386183 \n",
       "L 654.544273 201.803414 \n",
       "L 654.695275 203.938465 \n",
       "L 654.846278 202.888333 \n",
       "L 654.997281 197.815359 \n",
       "L 655.148284 207.400425 \n",
       "L 655.601292 198.416231 \n",
       "L 655.752295 202.780716 \n",
       "L 655.903297 200.995272 \n",
       "L 656.0543 203.130323 \n",
       "L 656.205303 202.117271 \n",
       "L 656.356306 197.380736 \n",
       "L 656.507308 206.073516 \n",
       "L 656.658311 205.480004 \n",
       "L 656.809314 202.888333 \n",
       "L 656.960317 197.380736 \n",
       "L 657.111319 196.931872 \n",
       "L 657.262322 201.29849 \n",
       "L 657.413325 198.860221 \n",
       "L 657.564328 200.355696 \n",
       "L 657.71533 206.355563 \n",
       "L 657.866333 197.485555 \n",
       "L 658.017336 200.739623 \n",
       "L 658.168339 197.668593 \n",
       "L 658.319341 197.628622 \n",
       "L 658.470344 210.343617 \n",
       "L 658.77235 200.168958 \n",
       "L 658.923352 201.085431 \n",
       "L 659.074355 200.398099 \n",
       "L 659.37636 194.403382 \n",
       "L 659.527363 201.085431 \n",
       "L 659.678366 212.803203 \n",
       "L 659.829369 197.485555 \n",
       "L 659.980371 198.217638 \n",
       "L 660.131374 206.574111 \n",
       "L 660.282377 200.428748 \n",
       "L 660.584382 207.400425 \n",
       "L 660.735385 204.076261 \n",
       "L 660.886388 204.929015 \n",
       "L 661.037391 210.844213 \n",
       "L 661.188393 206.713092 \n",
       "L 661.339396 196.517597 \n",
       "L 661.641402 206.713092 \n",
       "L 661.792404 200.995272 \n",
       "L 661.943407 206.035251 \n",
       "L 662.09441 194.710928 \n",
       "L 662.245413 215.301052 \n",
       "L 662.396415 199.134975 \n",
       "L 662.547418 200.929343 \n",
       "L 662.698421 208.132508 \n",
       "L 662.849424 197.028388 \n",
       "L 663.000426 197.473731 \n",
       "L 663.151429 197.204929 \n",
       "L 663.302432 199.0081 \n",
       "L 663.453435 208.533101 \n",
       "L 663.604437 200.255084 \n",
       "L 663.75544 198.34025 \n",
       "L 663.906443 203.938465 \n",
       "L 664.057446 195.984982 \n",
       "L 664.208448 199.97158 \n",
       "L 664.359451 200.644013 \n",
       "L 664.661457 206.74884 \n",
       "L 664.963462 196.869168 \n",
       "L 665.114465 198.311459 \n",
       "L 665.265468 201.938695 \n",
       "L 665.41647 210.343617 \n",
       "L 665.567473 200.366242 \n",
       "L 665.718476 206.713092 \n",
       "L 665.869479 204.011517 \n",
       "L 666.020481 196.892044 \n",
       "L 666.171484 210.844213 \n",
       "L 666.322487 197.290466 \n",
       "L 666.473489 205.745133 \n",
       "L 666.624492 203.130323 \n",
       "L 666.926498 196.65155 \n",
       "L 667.0775 200.398099 \n",
       "L 667.228503 210.983194 \n",
       "L 667.379506 202.384317 \n",
       "L 667.530509 205.085613 \n",
       "L 667.681511 196.144816 \n",
       "L 667.832514 197.993826 \n",
       "L 668.13452 197.243565 \n",
       "L 668.285522 204.178604 \n",
       "L 668.286362 281.8 \n",
       "M 668.58676 281.8 \n",
       "L 668.587528 210.844213 \n",
       "L 668.738531 202.587764 \n",
       "L 668.889533 200.932516 \n",
       "L 669.040536 208.132508 \n",
       "L 669.191539 198.268389 \n",
       "L 669.342542 205.702173 \n",
       "L 669.493544 200.056381 \n",
       "L 669.644547 198.712053 \n",
       "L 669.79555 198.683954 \n",
       "L 669.946553 202.867017 \n",
       "L 670.097555 198.33693 \n",
       "L 670.248558 208.040001 \n",
       "L 670.399561 199.113798 \n",
       "L 670.550564 198.311459 \n",
       "L 670.701566 202.203739 \n",
       "L 670.852569 202.44299 \n",
       "L 671.003572 201.839571 \n",
       "L 671.305577 196.471118 \n",
       "L 671.45658 197.306598 \n",
       "L 671.758586 204.694906 \n",
       "L 672.060591 195.991448 \n",
       "L 672.211594 209.971741 \n",
       "L 672.362597 197.516959 \n",
       "L 672.513599 207.031411 \n",
       "L 672.664602 199.645902 \n",
       "L 672.815605 204.617149 \n",
       "L 673.11761 202.939885 \n",
       "L 673.268613 197.63949 \n",
       "L 673.872624 206.073516 \n",
       "L 674.023627 196.171934 \n",
       "L 674.174629 194.44304 \n",
       "L 674.325632 196.83442 \n",
       "L 674.476635 196.285766 \n",
       "L 674.77864 202.346771 \n",
       "L 674.929643 202.366209 \n",
       "L 675.231649 196.832412 \n",
       "L 675.382651 199.726665 \n",
       "L 675.533654 197.373302 \n",
       "L 675.684657 203.400021 \n",
       "L 675.83566 198.98103 \n",
       "L 675.986662 199.408882 \n",
       "L 676.137665 201.698728 \n",
       "L 676.288668 194.634869 \n",
       "L 676.590673 208.3213 \n",
       "L 676.741676 204.416494 \n",
       "L 676.892679 195.908781 \n",
       "L 677.043682 196.536691 \n",
       "L 677.194684 195.797217 \n",
       "L 677.345687 200.815511 \n",
       "L 677.49669 197.804829 \n",
       "L 677.647693 203.675668 \n",
       "L 677.798695 199.544547 \n",
       "L 677.949698 209.656285 \n",
       "L 678.251704 195.393452 \n",
       "L 678.402706 196.517597 \n",
       "L 678.553709 199.382452 \n",
       "L 678.704712 197.533312 \n",
       "L 679.006717 201.207918 \n",
       "L 679.15772 197.894832 \n",
       "L 679.308723 203.711227 \n",
       "L 679.459726 204.929015 \n",
       "L 679.610728 205.199445 \n",
       "L 679.761731 204.241682 \n",
       "L 679.912734 212.803203 \n",
       "L 680.063737 210.983194 \n",
       "L 680.214739 194.480785 \n",
       "L 680.516745 202.676732 \n",
       "L 680.667747 194.385792 \n",
       "L 681.120756 206.760848 \n",
       "L 681.422761 199.305564 \n",
       "L 681.573764 198.172888 \n",
       "L 681.724767 202.203739 \n",
       "L 681.875769 198.172888 \n",
       "L 682.026772 204.241682 \n",
       "L 682.177775 197.855173 \n",
       "L 682.328778 206.355563 \n",
       "L 682.630783 195.416362 \n",
       "L 682.781786 202.384317 \n",
       "L 682.932789 203.769899 \n",
       "L 683.083791 219.571154 \n",
       "L 683.234794 196.388811 \n",
       "L 683.385797 192.60489 \n",
       "L 683.5368 200.929343 \n",
       "L 683.687802 201.643975 \n",
       "L 683.838805 196.659241 \n",
       "L 683.989808 210.844213 \n",
       "L 684.140811 203.938465 \n",
       "L 684.291813 206.574111 \n",
       "L 684.442816 197.028388 \n",
       "L 684.593819 195.451662 \n",
       "L 684.895824 202.888333 \n",
       "L 685.046827 210.844213 \n",
       "L 685.19783 198.172888 \n",
       "L 685.348833 195.229696 \n",
       "L 685.499835 205.386183 \n",
       "L 685.650838 204.625797 \n",
       "L 685.801841 201.209902 \n",
       "L 685.952844 206.713092 \n",
       "L 686.103846 195.283706 \n",
       "L 686.254849 205.480004 \n",
       "L 686.405852 197.986151 \n",
       "L 686.556855 197.185523 \n",
       "L 686.707857 199.908502 \n",
       "L 686.85886 199.741415 \n",
       "L 687.009863 205.386183 \n",
       "L 687.160866 199.97158 \n",
       "L 687.311868 202.304009 \n",
       "L 687.462871 199.102763 \n",
       "L 687.613874 200.428748 \n",
       "L 687.764876 198.033907 \n",
       "L 687.915879 203.769899 \n",
       "L 688.066882 197.628622 \n",
       "L 688.217885 197.773451 \n",
       "L 688.368887 198.801548 \n",
       "L 688.51989 197.688775 \n",
       "L 688.670893 208.895899 \n",
       "L 688.972898 195.893199 \n",
       "L 689.123901 203.938465 \n",
       "L 689.274904 198.355926 \n",
       "L 689.425907 200.632473 \n",
       "L 689.576909 200.528927 \n",
       "L 689.727912 195.617658 \n",
       "L 689.878915 199.305564 \n",
       "L 690.029918 198.114215 \n",
       "L 690.18092 199.427742 \n",
       "L 690.331923 206.073516 \n",
       "L 690.482926 196.158646 \n",
       "L 690.633929 203.938465 \n",
       "L 690.784931 194.980343 \n",
       "L 691.23794 201.116081 \n",
       "L 691.388942 196.303699 \n",
       "L 691.539945 200.168958 \n",
       "L 691.690948 196.408791 \n",
       "L 691.992953 208.895899 \n",
       "L 692.143956 199.668363 \n",
       "L 692.294959 204.929015 \n",
       "L 692.445962 197.847169 \n",
       "L 692.596964 196.545409 \n",
       "L 692.747967 196.580532 \n",
       "L 692.89897 197.028388 \n",
       "L 693.049973 199.908502 \n",
       "L 693.200975 199.499798 \n",
       "L 693.351978 195.393452 \n",
       "L 693.502981 208.895899 \n",
       "L 693.653984 198.068069 \n",
       "L 693.955989 198.860221 \n",
       "L 694.106992 206.073516 \n",
       "L 694.257995 200.168958 \n",
       "L 694.408997 210.343617 \n",
       "L 694.56 192.012681 \n",
       "L 694.56 192.012681 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_66\">\n",
       "    <path d=\"M 407.654785 27.659733 \n",
       "L 410.825843 26.52795 \n",
       "L 414.600911 25.431909 \n",
       "L 418.979991 24.400878 \n",
       "L 424.114084 23.426856 \n",
       "L 430.154194 22.517055 \n",
       "L 437.10032 21.705666 \n",
       "L 444.952463 21.020522 \n",
       "L 453.55962 20.495545 \n",
       "L 462.92179 20.150073 \n",
       "L 472.736968 20.013476 \n",
       "L 482.552147 20.098783 \n",
       "L 492.065319 20.401615 \n",
       "L 500.974481 20.905971 \n",
       "L 508.977627 21.578226 \n",
       "L 515.923753 22.375768 \n",
       "L 521.963863 23.284099 \n",
       "L 527.097956 24.27154 \n",
       "L 531.477036 25.333669 \n",
       "L 535.101102 26.431737 \n",
       "L 538.121157 27.566513 \n",
       "L 540.688203 28.761403 \n",
       "L 542.802242 29.981101 \n",
       "L 544.614275 31.28186 \n",
       "L 546.124302 32.641485 \n",
       "L 547.332324 34.009669 \n",
       "L 548.389343 35.531817 \n",
       "L 549.29536 37.233536 \n",
       "L 550.050373 39.138312 \n",
       "L 550.654384 41.250053 \n",
       "L 551.107393 43.501115 \n",
       "L 551.560401 47.031054 \n",
       "L 551.862406 51.14621 \n",
       "L 552.013409 54.029145 \n",
       "L 552.164412 54.703401 \n",
       "L 552.61742 47.490009 \n",
       "L 553.070428 43.746619 \n",
       "L 553.674439 40.781503 \n",
       "L 554.429453 38.362781 \n",
       "L 555.335469 36.328245 \n",
       "L 556.392489 34.574753 \n",
       "L 557.600511 33.034851 \n",
       "L 558.959535 31.662591 \n",
       "L 560.620565 30.314305 \n",
       "L 562.583601 29.02532 \n",
       "L 564.848642 27.81044 \n",
       "L 567.566692 26.613131 \n",
       "L 570.737749 25.463187 \n",
       "L 574.512818 24.335163 \n",
       "L 579.0429 23.224463 \n",
       "L 584.327996 22.166853 \n",
       "L 590.519109 21.163561 \n",
       "L 597.616238 20.244269 \n",
       "L 605.770386 19.418342 \n",
       "L 614.981554 18.71628 \n",
       "L 625.098737 18.17328 \n",
       "L 635.970935 17.814287 \n",
       "L 647.447144 17.659093 \n",
       "L 659.225358 17.724192 \n",
       "L 670.852569 18.011735 \n",
       "L 681.875769 18.503821 \n",
       "L 692.143956 19.181849 \n",
       "L 694.56 19.376679 \n",
       "L 694.56 19.376679 \n",
       "\" clip-path=\"url(#pf97201ff14)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 407.654785 237.19082 \n",
       "L 407.654785 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 694.56 237.19082 \n",
       "L 694.56 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 407.654785 237.19082 \n",
       "L 694.56 237.19082 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 407.654785 7.2 \n",
       "L 694.56 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_2\">\n",
       "    <g id=\"line2d_67\">\n",
       "     <path d=\"M 622.144375 113.783301 \n",
       "L 632.144375 113.783301 \n",
       "L 642.144375 113.783301 \n",
       "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "    </g>\n",
       "    <g id=\"text_37\">\n",
       "     <!-- Route A -->\n",
       "     <g transform=\"translate(650.144375 117.283301) scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#Inter-Regular-180\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(62.890625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(122.859375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(181.984375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(213.734375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(272.03125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2\" transform=\"translate(300.15625 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_68\">\n",
       "     <path d=\"M 622.144375 130.88291 \n",
       "L 632.144375 130.88291 \n",
       "L 642.144375 130.88291 \n",
       "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "    </g>\n",
       "    <g id=\"text_38\">\n",
       "     <!-- Route B -->\n",
       "     <g transform=\"translate(650.144375 134.38291) scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#Inter-Regular-180\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(62.890625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(122.859375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(181.984375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(213.734375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(272.03125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-41\" transform=\"translate(300.15625 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pf692e6ea4a\">\n",
       "   <rect x=\"50.70957\" y=\"7.2\" width=\"286.905215\" height=\"229.99082\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pf97201ff14\">\n",
       "   <rect x=\"407.654785\" y=\"7.2\" width=\"286.905215\" height=\"229.99082\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f_check = jnp.linspace(1e9, 20e9, 1901)\n",
    "LINE_LOADS = [\"capacitor.osdi\", \"resistor.osdi\", \"tline_ideal.osdi\"]\n",
    "ports = [\"vp1\", \"rp1\", \"vp2\", \"rp2\"]\n",
    "\n",
    "\n",
    "def two_port_netlist(route: str) -> Netlist:\n",
    "    \"\"\"S-parameters of the coupled line, Route A or Route B.\"\"\"\n",
    "    return Netlist(\n",
    "        f\"Coupled CPW, Route {route}\",\n",
    "        loads=LINE_LOADS,\n",
    "        subckts=[ROUTE_A if route == \"A\" else ROUTE_B],\n",
    "        circuit=f\"\"\"\n",
    "            model vsource vsource\n",
    "            model resistor resistor\n",
    "            model capacitor capacitor\n",
    "            model tline_ideal tline_ideal\n",
    "\n",
    "            x1 (1 2) ccline\n",
    "            vp1 (a1 0) vsource dc=0\n",
    "            rp1 (a1 1) resistor r={R_PORT}\n",
    "            vp2 (a2 0) vsource dc=0\n",
    "            rp2 (a2 2) resistor r={R_PORT}\n",
    "        \"\"\",\n",
    "        control=f\"\"\"\n",
    "            {OPTIONS}\n",
    "            analysis sp acsp ports={format_value(ports)} values={format_value(f_check)}\n",
    "        \"\"\",\n",
    "    )\n",
    "\n",
    "\n",
    "results = {route: vacask.run(two_port_netlist(route))[\"sp\"] for route in \"AB\"}\n",
    "reference = coupled_line_sdict(f_check)\n",
    "for key, (i, j) in {\"s(1,1)\": (0, 0), \"s(2,1)\": (1, 0), \"s(2,2)\": (1, 1)}.items():\n",
    "    ref = reference[f\"o{i + 1}\", f\"o{j + 1}\"]\n",
    "    errors = {\n",
    "        route: jnp.max(jnp.abs(jnp.asarray(results[route][key]) - ref))\n",
    "        for route in \"AB\"\n",
    "    }\n",
    "    print(\n",
    "        f\"{key}: Route A max|ΔS| = {errors['A']:.1e}, \"\n",
    "        f\"Route B max|ΔS| = {errors['B']:.1e}\"\n",
    "    )\n",
    "\n",
    "fig, (ax, ax_err) = plt.subplots(1, 2, figsize=(10, 4))\n",
    "ax.plot(f_check / 1e9, db(reference[\"o2\", \"o1\"]), label=\"SAX\")\n",
    "ax.plot(f_check / 1e9, db(results[\"A\"][\"s(2,1)\"]), \"--\", label=\"Route A (tline_ideal)\")\n",
    "ax.plot(f_check / 1e9, db(results[\"B\"][\"s(2,1)\"]), \":\", label=\"Route B (rational fit)\")\n",
    "ax.set_xlabel(\"Frequency (GHz)\")\n",
    "ax.set_ylabel(r\"$|S_{21}|$ (dB)\")\n",
    "ax.legend()\n",
    "for route in \"AB\":\n",
    "    error = jnp.abs(jnp.asarray(results[route][\"s(2,1)\"]) - reference[\"o2\", \"o1\"])\n",
    "    ax_err.semilogy(f_check / 1e9, error, label=f\"Route {route}\")\n",
    "ax_err.set_xlabel(\"Frequency (GHz)\")\n",
    "ax_err.set_ylabel(r\"$|S_{21} - S_{21}^\\text{SAX}|$\")\n",
    "ax_err.legend()\n",
    "fig.tight_layout()\n",
    "show_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff6baabd",
   "metadata": {},
   "source": [
    "Route A matches SAX to rounding error. Route B differs by about $10^{-3}$.\n",
    "That is acceptable for linear S-parameters, but not for a high-Q resonator.\n",
    "\n",
    "## Resonance versus flux\n",
    "\n",
    "The SQUID has $I_\\text{c,tot}=4$ µA. The resonance is the peak of the\n",
    "reflection group delay, $\\tau=-\\text{d}\\arg\\Gamma/\\text{d}\\omega$\n",
    "{cite:p}`m.pozarMicrowaveEngineering2012`. For a lossless, overcoupled\n",
    "one-port resonator $\\tau_\\text{peak}=4/\\kappa$, so the width\n",
    "$4/(2\\pi\\tau_\\text{peak})$ is the linewidth only in that case\n",
    "{cite:p}`gopplCoplanarWaveguideResonators2008a`. The SAX reference terminates\n",
    "the coupled-line ABCD matrix with the admittance of\n",
    "{func}`~qpdk.models.junction.squid_junction` {cite:p}`tescheDcSQUIDNoise1977`.\n",
    "\n",
    "AC linearizes the circuit around its DC operating point. With zero pump, it\n",
    "gives the unpumped resonance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "60ae958d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:42.569275Z",
     "iopub.status.busy": "2026-10-21T07:06:42.569231Z",
     "iopub.status.idle": "2026-10-21T07:06:45.870646Z",
     "shell.execute_reply": "2026-10-21T07:06:45.870355Z"
    },
    "tags": [
     "hide-input",
     "cpw-flux"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Φ = 0.00 Φ0: VACASK 6.08328 GHz, SAX 6.08328 GHz\n",
      "Φ = 0.10 Φ0: VACASK 6.07064 GHz, SAX 6.07064 GHz\n",
      "Φ = 0.20 Φ0: VACASK 6.02580 GHz, SAX 6.02580 GHz\n",
      "Φ = 0.25 Φ0: VACASK 5.98322 GHz, SAX 5.98322 GHz\n",
      "Φ = 0.30 Φ0: VACASK 5.91600 GHz, SAX 5.91600 GHz\n",
      "Φ = 0.35 Φ0: VACASK 5.80267 GHz, SAX 5.80267 GHz\n",
      "Φ = 0.40 Φ0: VACASK 5.58455 GHz, SAX 5.58455 GHz\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"453.6pt\" height=\"338.091352pt\" viewBox=\"0 0 453.6 338.091352\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2026-10-21T10:06:45.801090</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.11.1, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 338.091352 \n",
       "L 453.6 338.091352 \n",
       "L 453.6 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 46.90957 294.482172 \n",
       "L 435.4 294.482172 \n",
       "L 435.4 7.751567 \n",
       "L 46.90957 7.751567 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path d=\"M 46.90957 294.482172 \n",
       "L 46.90957 7.751567 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path id=\"m95eaeaa85b\" d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m95eaeaa85b\" x=\"46.90957\" y=\"294.482172\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathdefault{0.00}$ -->\n",
       "      <g transform=\"translate(35.95957 311.169672) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53d\" d=\"M 2019 -63 \n",
       "Q 1241 -63 811 562 \n",
       "Q 381 1188 381 2325 \n",
       "Q 381 3456 814 4087 \n",
       "Q 1247 4719 2019 4719 \n",
       "Q 2794 4719 3225 4087 \n",
       "Q 3656 3456 3656 2325 \n",
       "Q 3656 1188 3228 562 \n",
       "Q 2800 -63 2019 -63 \n",
       "z\n",
       "M 2019 456 \n",
       "Q 2531 456 2807 948 \n",
       "Q 3084 1441 3084 2325 \n",
       "Q 3084 3216 2807 3709 \n",
       "Q 2531 4203 2019 4203 \n",
       "Q 1509 4203 1231 3708 \n",
       "Q 953 3213 953 2325 \n",
       "Q 953 1441 1231 948 \n",
       "Q 1509 456 2019 456 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-5de\" d=\"M 922 -41 \n",
       "Q 747 -41 623 82 \n",
       "Q 500 206 500 381 \n",
       "Q 500 556 623 679 \n",
       "Q 747 803 922 803 \n",
       "Q 1097 803 1220 679 \n",
       "Q 1344 556 1344 381 \n",
       "Q 1344 206 1220 82 \n",
       "Q 1097 -41 922 -41 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(154.980469 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path d=\"M 95.470874 294.482172 \n",
       "L 95.470874 7.751567 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m95eaeaa85b\" x=\"95.470874\" y=\"294.482172\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathdefault{0.05}$ -->\n",
       "      <g transform=\"translate(84.720874 311.169672) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-543\" d=\"M 1863 -63 \n",
       "Q 1453 -63 1128 98 \n",
       "Q 803 259 609 539 \n",
       "Q 416 819 400 1175 \n",
       "L 975 1175 \n",
       "Q 1003 863 1258 661 \n",
       "Q 1513 459 1863 459 \n",
       "Q 2144 459 2364 590 \n",
       "Q 2584 722 2709 953 \n",
       "Q 2834 1184 2834 1478 \n",
       "Q 2834 1778 2703 2015 \n",
       "Q 2572 2253 2345 2389 \n",
       "Q 2119 2525 1825 2525 \n",
       "Q 1609 2525 1387 2456 \n",
       "Q 1166 2388 1028 2281 \n",
       "L 472 2350 \n",
       "L 747 4656 \n",
       "L 3197 4656 \n",
       "L 3197 4134 \n",
       "L 1247 4134 \n",
       "L 1088 2775 \n",
       "L 1113 2775 \n",
       "Q 1256 2894 1475 2970 \n",
       "Q 1694 3047 1934 3047 \n",
       "Q 2363 3047 2697 2845 \n",
       "Q 3031 2644 3223 2291 \n",
       "Q 3416 1938 3416 1488 \n",
       "Q 3416 1041 3214 691 \n",
       "Q 3013 341 2663 139 \n",
       "Q 2313 -63 1863 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(154.980469 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path d=\"M 144.032178 294.482172 \n",
       "L 144.032178 7.751567 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m95eaeaa85b\" x=\"144.032178\" y=\"294.482172\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathdefault{0.10}$ -->\n",
       "      <g transform=\"translate(134.232178 311.169672) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53e\" d=\"M 2041 4656 \n",
       "L 2041 0 \n",
       "L 1456 0 \n",
       "L 1456 4106 \n",
       "L 1425 4106 \n",
       "L 300 3272 \n",
       "L 300 3909 \n",
       "L 1313 4656 \n",
       "L 2041 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(132.568359 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path d=\"M 192.593481 294.482172 \n",
       "L 192.593481 7.751567 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m95eaeaa85b\" x=\"192.593481\" y=\"294.482172\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathdefault{0.15}$ -->\n",
       "      <g transform=\"translate(182.993481 311.169672) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(132.568359 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path d=\"M 241.154785 294.482172 \n",
       "L 241.154785 7.751567 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m95eaeaa85b\" x=\"241.154785\" y=\"294.482172\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathdefault{0.20}$ -->\n",
       "      <g transform=\"translate(230.354785 311.169672) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53f\" d=\"M 481 0 \n",
       "L 481 428 \n",
       "L 2028 2106 \n",
       "Q 2288 2388 2459 2600 \n",
       "Q 2631 2813 2718 3005 \n",
       "Q 2806 3197 2806 3413 \n",
       "Q 2806 3778 2554 3990 \n",
       "Q 2303 4203 1931 4203 \n",
       "Q 1534 4203 1298 3965 \n",
       "Q 1063 3728 1063 3334 \n",
       "L 494 3334 \n",
       "Q 494 3747 684 4059 \n",
       "Q 875 4372 1203 4545 \n",
       "Q 1531 4719 1947 4719 \n",
       "Q 2363 4719 2683 4545 \n",
       "Q 3003 4372 3186 4078 \n",
       "Q 3369 3784 3369 3419 \n",
       "Q 3369 3166 3278 2927 \n",
       "Q 3188 2688 2959 2384 \n",
       "Q 2731 2081 2319 1644 \n",
       "L 1300 559 \n",
       "L 1300 522 \n",
       "L 3447 522 \n",
       "L 3447 0 \n",
       "L 481 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(152.880859 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path d=\"M 289.716089 294.482172 \n",
       "L 289.716089 7.751567 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m95eaeaa85b\" x=\"289.716089\" y=\"294.482172\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathdefault{0.25}$ -->\n",
       "      <g transform=\"translate(279.066089 311.169672) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(152.880859 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path d=\"M 338.277393 294.482172 \n",
       "L 338.277393 7.751567 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m95eaeaa85b\" x=\"338.277393\" y=\"294.482172\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathdefault{0.30}$ -->\n",
       "      <g transform=\"translate(327.427393 311.169672) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-541\" d=\"M 1984 -63 \n",
       "Q 1528 -63 1175 93 \n",
       "Q 822 250 614 528 \n",
       "Q 406 806 391 1175 \n",
       "L 991 1175 \n",
       "Q 1016 844 1297 651 \n",
       "Q 1578 459 1975 459 \n",
       "Q 2413 459 2698 684 \n",
       "Q 2984 909 2984 1272 \n",
       "Q 2984 1650 2703 1889 \n",
       "Q 2422 2128 1903 2128 \n",
       "L 1525 2128 \n",
       "L 1525 2644 \n",
       "L 1903 2644 \n",
       "Q 2313 2644 2567 2861 \n",
       "Q 2822 3078 2822 3438 \n",
       "Q 2822 3784 2597 3993 \n",
       "Q 2372 4203 1991 4203 \n",
       "Q 1753 4203 1545 4117 \n",
       "Q 1338 4031 1205 3872 \n",
       "Q 1072 3713 1063 3484 \n",
       "L 491 3484 \n",
       "Q 503 3850 709 4128 \n",
       "Q 916 4406 1255 4562 \n",
       "Q 1594 4719 2003 4719 \n",
       "Q 2438 4719 2752 4544 \n",
       "Q 3066 4369 3234 4084 \n",
       "Q 3403 3800 3403 3469 \n",
       "Q 3403 3075 3195 2800 \n",
       "Q 2988 2525 2631 2419 \n",
       "L 2631 2381 \n",
       "Q 3078 2309 3325 2007 \n",
       "Q 3572 1706 3572 1266 \n",
       "Q 3572 884 3365 584 \n",
       "Q 3159 284 2800 110 \n",
       "Q 2441 -63 1984 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-541\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(153.662109 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path d=\"M 386.838696 294.482172 \n",
       "L 386.838696 7.751567 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m95eaeaa85b\" x=\"386.838696\" y=\"294.482172\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathdefault{0.35}$ -->\n",
       "      <g transform=\"translate(376.188696 311.169672) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-541\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(153.662109 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path d=\"M 435.4 294.482172 \n",
       "L 435.4 7.751567 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m95eaeaa85b\" x=\"435.4\" y=\"294.482172\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- $\\mathdefault{0.40}$ -->\n",
       "      <g transform=\"translate(424.4 311.169672) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-542\" d=\"M 375 947 \n",
       "L 375 1431 \n",
       "L 2413 4656 \n",
       "L 3134 4656 \n",
       "L 3134 1469 \n",
       "L 3766 1469 \n",
       "L 3766 947 \n",
       "L 3134 947 \n",
       "L 3134 0 \n",
       "L 2566 0 \n",
       "L 2566 947 \n",
       "L 375 947 \n",
       "z\n",
       "M 2569 1469 \n",
       "L 2569 3913 \n",
       "L 2531 3913 \n",
       "L 1009 1506 \n",
       "L 1009 1469 \n",
       "L 2569 1469 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-542\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(156.494141 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_10\">\n",
       "     <!-- Flux bias ($\\Phi_0$) -->\n",
       "     <g transform=\"translate(205.679785 328.238032) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-89\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 3378 4656 \n",
       "L 3378 4131 \n",
       "L 1156 4131 \n",
       "L 1156 2538 \n",
       "L 3166 2538 \n",
       "L 3166 2013 \n",
       "L 1156 2013 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2e0\" d=\"M 1056 4656 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 4656 \n",
       "L 1056 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-393\" d=\"M 1678 -44 \n",
       "Q 1150 -44 822 284 \n",
       "Q 494 613 494 1275 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 1322 \n",
       "Q 1056 919 1268 691 \n",
       "Q 1481 463 1847 463 \n",
       "Q 2222 463 2473 708 \n",
       "Q 2725 953 2725 1400 \n",
       "L 2725 3494 \n",
       "L 3291 3494 \n",
       "L 3291 0 \n",
       "L 2747 0 \n",
       "L 2747 653 \n",
       "Q 2575 272 2298 114 \n",
       "Q 2022 -44 1678 -44 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-3e1\" d=\"M 203 0 \n",
       "L 1431 1794 \n",
       "L 275 3494 \n",
       "L 931 3494 \n",
       "L 1366 2816 \n",
       "Q 1484 2628 1579 2461 \n",
       "Q 1675 2294 1766 2134 \n",
       "Q 1850 2294 1937 2461 \n",
       "Q 2025 2628 2147 2816 \n",
       "L 2591 3494 \n",
       "L 3234 3494 \n",
       "L 2066 1763 \n",
       "L 3291 0 \n",
       "L 2638 0 \n",
       "L 2125 784 \n",
       "Q 2009 963 1918 1123 \n",
       "Q 1828 1284 1741 1431 \n",
       "Q 1659 1284 1575 1123 \n",
       "Q 1491 963 1372 784 \n",
       "L 853 0 \n",
       "L 203 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-6f1\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-242\" d=\"M 2116 -75 \n",
       "Q 1784 -75 1581 39 \n",
       "Q 1378 153 1268 298 \n",
       "Q 1159 444 1100 541 \n",
       "L 1038 541 \n",
       "L 1038 0 \n",
       "L 494 0 \n",
       "L 494 4656 \n",
       "L 1056 4656 \n",
       "L 1056 2934 \n",
       "L 1100 2934 \n",
       "Q 1159 3028 1265 3170 \n",
       "Q 1372 3313 1572 3425 \n",
       "Q 1772 3538 2113 3538 \n",
       "Q 2550 3538 2883 3319 \n",
       "Q 3216 3100 3405 2695 \n",
       "Q 3594 2291 3594 1738 \n",
       "Q 3594 1181 3406 775 \n",
       "Q 3219 369 2886 147 \n",
       "Q 2553 -75 2116 -75 \n",
       "z\n",
       "M 2031 428 \n",
       "Q 2359 428 2579 604 \n",
       "Q 2800 781 2911 1079 \n",
       "Q 3022 1378 3022 1744 \n",
       "Q 3022 2106 2912 2398 \n",
       "Q 2803 2691 2583 2862 \n",
       "Q 2363 3034 2031 3034 \n",
       "Q 1550 3034 1300 2678 \n",
       "Q 1050 2322 1050 1744 \n",
       "Q 1050 1159 1303 793 \n",
       "Q 1556 428 2031 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2b1\" d=\"M 494 0 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "z\n",
       "M 778 4066 \n",
       "Q 619 4066 503 4175 \n",
       "Q 387 4284 387 4438 \n",
       "Q 387 4594 503 4701 \n",
       "Q 619 4809 778 4809 \n",
       "Q 940 4809 1056 4701 \n",
       "Q 1172 4594 1172 4438 \n",
       "Q 1172 4284 1056 4175 \n",
       "Q 940 4066 778 4066 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-1fb\" d=\"M 1472 -81 \n",
       "Q 1141 -81 870 44 \n",
       "Q 600 169 440 409 \n",
       "Q 281 650 281 994 \n",
       "Q 281 1294 400 1481 \n",
       "Q 519 1669 717 1776 \n",
       "Q 916 1884 1156 1937 \n",
       "Q 1397 1991 1641 2022 \n",
       "Q 1953 2063 2150 2084 \n",
       "Q 2347 2106 2442 2159 \n",
       "Q 2538 2213 2538 2341 \n",
       "L 2538 2359 \n",
       "Q 2538 2684 2353 2864 \n",
       "Q 2169 3044 1806 3044 \n",
       "Q 1428 3044 1215 2880 \n",
       "Q 1003 2716 922 2531 \n",
       "L 381 2709 \n",
       "Q 516 3028 744 3208 \n",
       "Q 972 3388 1247 3463 \n",
       "Q 1522 3538 1791 3538 \n",
       "Q 1966 3538 2189 3495 \n",
       "Q 2413 3453 2620 3328 \n",
       "Q 2828 3203 2964 2958 \n",
       "Q 3100 2713 3100 2303 \n",
       "L 3100 0 \n",
       "L 2547 0 \n",
       "L 2547 475 \n",
       "L 2509 475 \n",
       "Q 2450 353 2319 223 \n",
       "Q 2188 94 1978 6 \n",
       "Q 1769 -81 1472 -81 \n",
       "z\n",
       "M 1569 416 \n",
       "Q 1881 416 2097 537 \n",
       "Q 2313 659 2425 854 \n",
       "Q 2538 1050 2538 1263 \n",
       "L 2538 1747 \n",
       "Q 2503 1706 2387 1673 \n",
       "Q 2272 1641 2123 1616 \n",
       "Q 1975 1591 1836 1573 \n",
       "Q 1697 1556 1616 1547 \n",
       "Q 1413 1522 1236 1461 \n",
       "Q 1059 1400 953 1283 \n",
       "Q 847 1166 847 966 \n",
       "Q 847 694 1051 555 \n",
       "Q 1256 416 1569 416 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-367\" d=\"M 1681 -75 \n",
       "Q 1144 -75 787 159 \n",
       "Q 431 394 338 847 \n",
       "L 872 975 \n",
       "Q 947 688 1155 553 \n",
       "Q 1363 419 1675 419 \n",
       "Q 2041 419 2258 575 \n",
       "Q 2475 731 2475 947 \n",
       "Q 2475 1306 1963 1428 \n",
       "L 1381 1566 \n",
       "Q 444 1788 444 2519 \n",
       "Q 444 2819 612 3048 \n",
       "Q 781 3278 1073 3408 \n",
       "Q 1366 3538 1738 3538 \n",
       "Q 2278 3538 2576 3302 \n",
       "Q 2875 3066 2994 2697 \n",
       "L 2484 2566 \n",
       "Q 2413 2753 2245 2906 \n",
       "Q 2078 3059 1741 3059 \n",
       "Q 1428 3059 1220 2915 \n",
       "Q 1013 2772 1013 2553 \n",
       "Q 1013 2359 1153 2242 \n",
       "Q 1294 2125 1600 2053 \n",
       "L 2128 1928 \n",
       "Q 2603 1816 2831 1580 \n",
       "Q 3059 1344 3059 984 \n",
       "Q 3059 678 2886 439 \n",
       "Q 2713 200 2402 62 \n",
       "Q 2091 -75 1681 -75 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-59d\" d=\"M 681 1897 \n",
       "Q 681 2406 786 2964 \n",
       "Q 891 3522 1072 4039 \n",
       "Q 1253 4556 1488 4941 \n",
       "L 2034 4941 \n",
       "Q 1794 4450 1617 3919 \n",
       "Q 1441 3388 1347 2870 \n",
       "Q 1253 2353 1253 1897 \n",
       "Q 1253 1275 1442 617 \n",
       "Q 1631 -41 2034 -872 \n",
       "L 1488 -872 \n",
       "Q 1091 -194 886 509 \n",
       "Q 681 1213 681 1897 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-176\" d=\"M 2874 883 \n",
       "L 2874 3507 \n",
       "C 3840 3469 4333 3021 4333 2221 \n",
       "C 4333 1357 3853 941 2874 883 \n",
       "z\n",
       "M 851 2208 \n",
       "C 851 3040 1331 3456 2310 3514 \n",
       "L 2310 890 \n",
       "C 1344 928 851 1376 851 2208 \n",
       "z\n",
       "M 4960 2221 \n",
       "C 4960 3226 4250 3904 2886 3962 \n",
       "L 2886 4410 \n",
       "L 2298 4410 \n",
       "L 2298 3962 \n",
       "C 1030 3930 224 3315 224 2208 \n",
       "C 224 1171 934 493 2298 435 \n",
       "L 2298 0 \n",
       "L 2886 0 \n",
       "L 2886 435 \n",
       "C 4154 467 4960 1082 4960 2221 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-11\" d=\"M 1792 4019 \n",
       "C 2323 4019 2611 3533 2611 2208 \n",
       "C 2611 877 2323 390 1792 390 \n",
       "C 1254 390 973 877 973 2208 \n",
       "C 973 3533 1254 4019 1792 4019 \n",
       "z\n",
       "M 1792 4486 \n",
       "C 832 4486 358 3699 358 2208 \n",
       "C 358 717 832 -77 1792 -77 \n",
       "C 2752 -77 3226 717 3226 2208 \n",
       "C 3226 3693 2752 4486 1792 4486 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-59e\" d=\"M 300 -872 \n",
       "Q 716 -16 898 639 \n",
       "Q 1081 1294 1081 1897 \n",
       "Q 1081 2353 987 2870 \n",
       "Q 894 3388 719 3919 \n",
       "Q 544 4450 300 4941 \n",
       "L 847 4941 \n",
       "Q 1081 4556 1264 4039 \n",
       "Q 1447 3522 1550 2962 \n",
       "Q 1653 2403 1653 1897 \n",
       "Q 1653 1200 1445 497 \n",
       "Q 1238 -206 847 -872 \n",
       "L 300 -872 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-89\" transform=\"translate(0 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(59.033203 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(83.251953 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3e1\" transform=\"translate(142.382812 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(196.972656 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-242\" transform=\"translate(225.097656 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(286.328125 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(310.546875 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-367\" transform=\"translate(366.699219 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(419.482422 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(447.607422 0.796875)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-176\" transform=\"translate(484.082031 0.796875)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-11\" transform=\"translate(566.00426 -15.014062) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(607.839384 0.796875)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path d=\"M 46.90957 273.371328 \n",
       "L 435.4 273.371328 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <defs>\n",
       "       <path id=\"m5146b51710\" d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m5146b51710\" x=\"46.90957\" y=\"273.371328\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- $\\mathdefault{5.6}$ -->\n",
       "      <g transform=\"translate(24.80957 278.215078) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-545\" d=\"M 2019 -63 \n",
       "Q 1728 -63 1437 43 \n",
       "Q 1147 150 908 400 \n",
       "Q 669 650 525 1078 \n",
       "Q 381 1506 381 2150 \n",
       "Q 381 3378 840 4048 \n",
       "Q 1300 4719 2091 4719 \n",
       "Q 2481 4719 2790 4562 \n",
       "Q 3100 4406 3297 4128 \n",
       "Q 3494 3850 3550 3484 \n",
       "L 2969 3484 \n",
       "Q 2891 3788 2672 3991 \n",
       "Q 2453 4194 2091 4194 \n",
       "Q 1553 4194 1248 3730 \n",
       "Q 944 3266 944 2425 \n",
       "L 981 2425 \n",
       "Q 1169 2716 1467 2880 \n",
       "Q 1766 3044 2128 3044 \n",
       "Q 2528 3044 2859 2847 \n",
       "Q 3191 2650 3389 2301 \n",
       "Q 3588 1953 3588 1503 \n",
       "Q 3588 1069 3394 714 \n",
       "Q 3200 359 2847 148 \n",
       "Q 2494 -63 2019 -63 \n",
       "z\n",
       "M 2019 459 \n",
       "Q 2300 459 2525 600 \n",
       "Q 2750 741 2881 977 \n",
       "Q 3013 1213 3013 1503 \n",
       "Q 3013 1788 2886 2020 \n",
       "Q 2759 2253 2537 2390 \n",
       "Q 2316 2528 2034 2528 \n",
       "Q 1753 2528 1525 2384 \n",
       "Q 1297 2241 1162 2005 \n",
       "Q 1028 1769 1028 1497 \n",
       "Q 1028 1222 1156 986 \n",
       "Q 1284 750 1509 604 \n",
       "Q 1734 459 2019 459 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(88.134766 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path d=\"M 46.90957 221.105812 \n",
       "L 435.4 221.105812 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m5146b51710\" x=\"46.90957\" y=\"221.105812\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- $\\mathdefault{5.7}$ -->\n",
       "      <g transform=\"translate(25.40957 225.949562) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-546\" d=\"M 625 0 \n",
       "L 2694 4097 \n",
       "L 2694 4134 \n",
       "L 306 4134 \n",
       "L 306 4656 \n",
       "L 3316 4656 \n",
       "L 3316 4103 \n",
       "L 1250 0 \n",
       "L 625 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(88.134766 0.25)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path d=\"M 46.90957 168.840297 \n",
       "L 435.4 168.840297 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m5146b51710\" x=\"46.90957\" y=\"168.840297\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- $\\mathdefault{5.8}$ -->\n",
       "      <g transform=\"translate(24.90957 173.684047) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-547\" d=\"M 1978 -63 \n",
       "Q 1506 -63 1145 104 \n",
       "Q 784 272 582 565 \n",
       "Q 381 859 381 1238 \n",
       "Q 381 1531 500 1782 \n",
       "Q 619 2034 825 2203 \n",
       "Q 1031 2372 1291 2419 \n",
       "L 1291 2444 \n",
       "Q 950 2531 750 2822 \n",
       "Q 550 3113 550 3481 \n",
       "Q 550 3838 734 4117 \n",
       "Q 919 4397 1241 4558 \n",
       "Q 1563 4719 1978 4719 \n",
       "Q 2388 4719 2709 4558 \n",
       "Q 3031 4397 3217 4117 \n",
       "Q 3403 3838 3403 3481 \n",
       "Q 3403 3113 3201 2822 \n",
       "Q 3000 2531 2669 2444 \n",
       "L 2669 2419 \n",
       "Q 2922 2372 3128 2203 \n",
       "Q 3334 2034 3456 1782 \n",
       "Q 3578 1531 3578 1238 \n",
       "Q 3578 859 3373 565 \n",
       "Q 3169 272 2808 104 \n",
       "Q 2447 -63 1978 -63 \n",
       "z\n",
       "M 1978 453 \n",
       "Q 2441 453 2712 676 \n",
       "Q 2984 900 2984 1269 \n",
       "Q 2984 1528 2853 1726 \n",
       "Q 2722 1925 2494 2039 \n",
       "Q 2266 2153 1978 2153 \n",
       "Q 1538 2153 1252 1904 \n",
       "Q 966 1656 966 1269 \n",
       "Q 966 900 1236 676 \n",
       "Q 1506 453 1978 453 \n",
       "z\n",
       "M 1978 2650 \n",
       "Q 2347 2650 2587 2867 \n",
       "Q 2828 3084 2828 3438 \n",
       "Q 2828 3788 2593 3997 \n",
       "Q 2359 4206 1978 4206 \n",
       "Q 1591 4206 1358 3997 \n",
       "Q 1125 3788 1125 3438 \n",
       "Q 1125 3084 1362 2867 \n",
       "Q 1600 2650 1978 2650 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(88.134766 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path d=\"M 46.90957 116.574781 \n",
       "L 435.4 116.574781 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m5146b51710\" x=\"46.90957\" y=\"116.574781\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- $\\mathdefault{5.9}$ -->\n",
       "      <g transform=\"translate(24.80957 121.418531) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-548\" d=\"M 1884 -63 \n",
       "Q 1488 -63 1178 93 \n",
       "Q 869 250 672 531 \n",
       "Q 475 813 419 1184 \n",
       "L 1006 1184 \n",
       "Q 1078 875 1297 669 \n",
       "Q 1516 463 1884 463 \n",
       "Q 2416 463 2723 927 \n",
       "Q 3031 1391 3031 2238 \n",
       "L 2994 2238 \n",
       "Q 2806 1953 2509 1784 \n",
       "Q 2213 1616 1847 1616 \n",
       "Q 1447 1616 1112 1814 \n",
       "Q 778 2013 579 2361 \n",
       "Q 381 2709 381 3156 \n",
       "Q 381 3591 578 3948 \n",
       "Q 775 4306 1129 4517 \n",
       "Q 1484 4728 1963 4719 \n",
       "Q 2250 4716 2537 4608 \n",
       "Q 2825 4500 3062 4253 \n",
       "Q 3300 4006 3444 3581 \n",
       "Q 3588 3156 3588 2513 \n",
       "Q 3588 1278 3131 607 \n",
       "Q 2675 -63 1884 -63 \n",
       "z\n",
       "M 1934 2134 \n",
       "Q 2219 2134 2447 2279 \n",
       "Q 2675 2425 2811 2662 \n",
       "Q 2947 2900 2947 3172 \n",
       "Q 2947 3441 2817 3673 \n",
       "Q 2688 3906 2464 4051 \n",
       "Q 2241 4197 1953 4197 \n",
       "Q 1672 4197 1448 4058 \n",
       "Q 1225 3919 1094 3683 \n",
       "Q 963 3447 963 3159 \n",
       "Q 963 2875 1089 2642 \n",
       "Q 1216 2409 1434 2271 \n",
       "Q 1653 2134 1934 2134 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-548\" transform=\"translate(88.134766 0.125)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <path d=\"M 46.90957 64.309266 \n",
       "L 435.4 64.309266 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m5146b51710\" x=\"46.90957\" y=\"64.309266\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- $\\mathdefault{6.0}$ -->\n",
       "      <g transform=\"translate(24.50957 69.153016) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(62.011719 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(90.820312 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <path d=\"M 46.90957 12.04375 \n",
       "L 435.4 12.04375 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m5146b51710\" x=\"46.90957\" y=\"12.04375\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- $\\mathdefault{6.1}$ -->\n",
       "      <g transform=\"translate(26.70957 16.8875) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(62.011719 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(90.820312 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- $f_0$ (GHz) -->\n",
       "     <g transform=\"translate(17.85625 172.07187) rotate(-90) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"FiraMath-Regular-47\" d=\"M 1754 4326 \n",
       "C 1926 4326 2125 4294 2342 4198 \n",
       "L 2528 4627 \n",
       "C 2259 4742 2042 4800 1722 4800 \n",
       "C 1037 4800 666 4397 666 3834 \n",
       "L 666 3373 \n",
       "L 64 3373 \n",
       "L 64 2918 \n",
       "L 666 2918 \n",
       "L 666 0 \n",
       "L 1254 0 \n",
       "L 1254 2918 \n",
       "L 2010 2918 \n",
       "L 2074 3373 \n",
       "L 1254 3373 \n",
       "L 1254 3840 \n",
       "C 1254 4166 1382 4326 1754 4326 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-8d\" d=\"M 2466 -63 \n",
       "Q 1844 -63 1375 228 \n",
       "Q 906 519 643 1055 \n",
       "Q 381 1591 381 2325 \n",
       "Q 381 3066 643 3602 \n",
       "Q 906 4138 1368 4428 \n",
       "Q 1831 4719 2428 4719 \n",
       "Q 2922 4719 3323 4526 \n",
       "Q 3725 4334 3990 3992 \n",
       "Q 4256 3650 4341 3197 \n",
       "L 3728 3197 \n",
       "Q 3584 3644 3254 3906 \n",
       "Q 2925 4169 2431 4169 \n",
       "Q 2022 4169 1687 3958 \n",
       "Q 1353 3747 1156 3336 \n",
       "Q 959 2925 959 2325 \n",
       "Q 959 1731 1157 1322 \n",
       "Q 1356 913 1697 700 \n",
       "Q 2038 488 2466 488 \n",
       "Q 2853 488 3150 650 \n",
       "Q 3447 813 3617 1113 \n",
       "Q 3788 1413 3794 1822 \n",
       "L 2588 1822 \n",
       "L 2588 2341 \n",
       "L 4375 2341 \n",
       "L 4375 1831 \n",
       "Q 4375 1253 4128 828 \n",
       "Q 3881 403 3451 170 \n",
       "Q 3022 -63 2466 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-a1\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 1156 4656 \n",
       "L 1156 2644 \n",
       "L 3600 2644 \n",
       "L 3600 4656 \n",
       "L 4194 4656 \n",
       "L 4194 0 \n",
       "L 3600 0 \n",
       "L 3600 2119 \n",
       "L 1156 2119 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-3fe\" d=\"M 394 0 \n",
       "L 394 419 \n",
       "L 2353 2938 \n",
       "L 2353 2972 \n",
       "L 456 2972 \n",
       "L 456 3494 \n",
       "L 3078 3494 \n",
       "L 3078 3047 \n",
       "L 1175 556 \n",
       "L 1175 522 \n",
       "L 3141 522 \n",
       "L 3141 0 \n",
       "L 394 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#FiraMath-Regular-47\" transform=\"translate(0 0.796875)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-11\" transform=\"translate(33.499969 -15.014062) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(75.335094 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(103.460094 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-8d\" transform=\"translate(139.934703 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-a1\" transform=\"translate(214.544078 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3fe\" transform=\"translate(288.860484 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(344.085094 0.796875)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_31\">\n",
       "    <path d=\"M 46.90957 20.785157 \n",
       "L 56.621831 20.850489 \n",
       "L 66.334092 21.041258 \n",
       "L 76.046353 21.360078 \n",
       "L 85.758613 21.806948 \n",
       "L 95.470874 22.387096 \n",
       "L 105.183135 23.103133 \n",
       "L 114.895396 23.955061 \n",
       "L 124.607656 24.950719 \n",
       "L 134.319917 26.092721 \n",
       "L 144.032178 27.388905 \n",
       "L 153.744438 28.841887 \n",
       "L 163.456699 30.464731 \n",
       "L 173.16896 32.262665 \n",
       "L 182.881221 34.248754 \n",
       "L 192.593481 36.43084 \n",
       "L 202.305742 38.821987 \n",
       "L 212.018003 41.440489 \n",
       "L 221.730264 44.302026 \n",
       "L 231.442524 47.422277 \n",
       "L 241.154785 50.824763 \n",
       "L 250.867046 54.535614 \n",
       "L 260.579307 58.583578 \n",
       "L 270.291567 62.997401 \n",
       "L 280.003828 67.813668 \n",
       "L 289.716089 73.082032 \n",
       "L 299.42835 78.846919 \n",
       "L 309.14061 85.165819 \n",
       "L 318.852871 92.111906 \n",
       "L 328.565132 99.760965 \n",
       "L 338.277393 108.212299 \n",
       "L 347.989653 117.578279 \n",
       "L 357.701914 127.994796 \n",
       "L 367.414175 139.634326 \n",
       "L 377.126436 152.698092 \n",
       "L 386.838696 167.442194 \n",
       "L 396.550957 184.190678 \n",
       "L 406.263218 203.34599 \n",
       "L 415.975479 225.441237 \n",
       "L 425.687739 251.16371 \n",
       "L 435.4 281.448963 \n",
       "\" clip-path=\"url(#p8c734b61f9)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_32\">\n",
       "    <defs>\n",
       "     <path id=\"mfeefe372d8\" d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" style=\"stroke: #ff7f0e\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p8c734b61f9)\">\n",
       "     <use xlink:href=\"#mfeefe372d8\" x=\"46.90957\" y=\"20.784776\" style=\"fill: #ff7f0e; stroke: #ff7f0e\"/>\n",
       "     <use xlink:href=\"#mfeefe372d8\" x=\"144.032178\" y=\"27.388483\" style=\"fill: #ff7f0e; stroke: #ff7f0e\"/>\n",
       "     <use xlink:href=\"#mfeefe372d8\" x=\"241.154785\" y=\"50.826807\" style=\"fill: #ff7f0e; stroke: #ff7f0e\"/>\n",
       "     <use xlink:href=\"#mfeefe372d8\" x=\"289.716089\" y=\"73.081324\" style=\"fill: #ff7f0e; stroke: #ff7f0e\"/>\n",
       "     <use xlink:href=\"#mfeefe372d8\" x=\"338.277393\" y=\"108.211371\" style=\"fill: #ff7f0e; stroke: #ff7f0e\"/>\n",
       "     <use xlink:href=\"#mfeefe372d8\" x=\"386.838696\" y=\"167.443509\" style=\"fill: #ff7f0e; stroke: #ff7f0e\"/>\n",
       "     <use xlink:href=\"#mfeefe372d8\" x=\"435.4\" y=\"281.446953\" style=\"fill: #ff7f0e; stroke: #ff7f0e\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 46.90957 294.482172 \n",
       "L 46.90957 7.751567 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 435.4 294.482172 \n",
       "L 435.4 7.751567 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 46.90957 294.482172 \n",
       "L 435.4 294.482172 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 46.90957 7.751567 \n",
       "L 435.4 7.751567 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"line2d_33\">\n",
       "     <path d=\"M 359.98125 21.439067 \n",
       "L 369.98125 21.439067 \n",
       "L 379.98125 21.439067 \n",
       "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "    </g>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- SAX -->\n",
       "     <g transform=\"translate(387.98125 24.939067) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-18d\" d=\"M 2053 -81 \n",
       "Q 1297 -81 850 276 \n",
       "Q 403 634 363 1219 \n",
       "L 972 1219 \n",
       "Q 997 956 1150 786 \n",
       "Q 1303 616 1542 533 \n",
       "Q 1781 450 2053 450 \n",
       "Q 2369 450 2620 553 \n",
       "Q 2872 656 3019 843 \n",
       "Q 3166 1031 3166 1278 \n",
       "Q 3166 1503 3039 1643 \n",
       "Q 2913 1784 2703 1875 \n",
       "Q 2494 1966 2244 2034 \n",
       "L 1681 2194 \n",
       "Q 1119 2353 806 2650 \n",
       "Q 494 2947 494 3409 \n",
       "Q 494 3803 706 4098 \n",
       "Q 919 4394 1281 4556 \n",
       "Q 1644 4719 2094 4719 \n",
       "Q 2553 4719 2906 4556 \n",
       "Q 3259 4394 3464 4114 \n",
       "Q 3669 3834 3681 3481 \n",
       "L 3100 3481 \n",
       "Q 3059 3822 2775 4008 \n",
       "Q 2491 4194 2075 4194 \n",
       "Q 1622 4194 1347 3980 \n",
       "Q 1072 3766 1072 3438 \n",
       "Q 1072 3194 1223 3045 \n",
       "Q 1375 2897 1583 2814 \n",
       "Q 1791 2731 1959 2684 \n",
       "L 2425 2556 \n",
       "Q 2613 2506 2839 2418 \n",
       "Q 3066 2331 3272 2186 \n",
       "Q 3478 2041 3611 1817 \n",
       "Q 3744 1594 3744 1269 \n",
       "Q 3744 888 3545 581 \n",
       "Q 3347 275 2969 97 \n",
       "Q 2591 -81 2053 -81 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2\" d=\"M 163 0 \n",
       "L 1853 4656 \n",
       "L 2541 4656 \n",
       "L 4253 0 \n",
       "L 3628 0 \n",
       "L 3163 1300 \n",
       "L 1244 1300 \n",
       "L 794 0 \n",
       "L 163 0 \n",
       "z\n",
       "M 1425 1819 \n",
       "L 2978 1819 \n",
       "L 2641 2763 \n",
       "Q 2556 2997 2450 3336 \n",
       "Q 2344 3675 2194 4181 \n",
       "Q 2047 3666 1937 3322 \n",
       "Q 1828 2978 1753 2763 \n",
       "L 1425 1819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-1d2\" d=\"M 178 0 \n",
       "L 1847 2384 \n",
       "L 281 4656 \n",
       "L 969 4656 \n",
       "L 1641 3669 \n",
       "Q 1778 3469 1868 3328 \n",
       "Q 1959 3188 2032 3058 \n",
       "Q 2106 2928 2191 2766 \n",
       "Q 2272 2928 2347 3058 \n",
       "Q 2422 3188 2514 3328 \n",
       "Q 2606 3469 2744 3669 \n",
       "L 3428 4656 \n",
       "L 4100 4656 \n",
       "L 2534 2406 \n",
       "L 4188 0 \n",
       "L 3503 0 \n",
       "L 2688 1181 \n",
       "Q 2513 1438 2406 1605 \n",
       "Q 2300 1772 2184 2000 \n",
       "Q 2072 1778 1962 1608 \n",
       "Q 1853 1438 1675 1181 \n",
       "L 853 0 \n",
       "L 178 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-18d\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2\" transform=\"translate(64.15625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1d2\" transform=\"translate(133.15625 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_34\">\n",
       "     <g>\n",
       "      <use xlink:href=\"#mfeefe372d8\" x=\"369.98125\" y=\"38.538676\" style=\"fill: #ff7f0e; stroke: #ff7f0e\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_19\">\n",
       "     <!-- VACASK -->\n",
       "     <g transform=\"translate(387.98125 42.038676) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-1c8\" d=\"M 1875 0 \n",
       "L 163 4656 \n",
       "L 788 4656 \n",
       "L 1772 1894 \n",
       "Q 1850 1678 1961 1329 \n",
       "Q 2072 981 2219 481 \n",
       "Q 2366 994 2477 1336 \n",
       "Q 2588 1678 2663 1894 \n",
       "L 3622 4656 \n",
       "L 4253 4656 \n",
       "L 2559 0 \n",
       "L 1875 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-49\" d=\"M 2447 -63 \n",
       "Q 1850 -63 1383 226 \n",
       "Q 916 516 648 1052 \n",
       "Q 381 1588 381 2325 \n",
       "Q 381 3066 648 3602 \n",
       "Q 916 4138 1383 4428 \n",
       "Q 1850 4719 2447 4719 \n",
       "Q 2919 4719 3314 4536 \n",
       "Q 3709 4353 3976 4012 \n",
       "Q 4244 3672 4325 3191 \n",
       "L 3731 3191 \n",
       "Q 3666 3509 3477 3728 \n",
       "Q 3288 3947 3019 4058 \n",
       "Q 2750 4169 2447 4169 \n",
       "Q 2028 4169 1690 3956 \n",
       "Q 1353 3744 1156 3333 \n",
       "Q 959 2922 959 2325 \n",
       "Q 959 1731 1157 1320 \n",
       "Q 1356 909 1693 698 \n",
       "Q 2031 488 2447 488 \n",
       "Q 2753 488 3020 600 \n",
       "Q 3288 713 3477 931 \n",
       "Q 3666 1150 3731 1466 \n",
       "L 4325 1466 \n",
       "Q 4244 994 3980 650 \n",
       "Q 3716 306 3320 121 \n",
       "Q 2925 -63 2447 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-10f\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 1156 4656 \n",
       "L 1156 3063 \n",
       "L 1147 2206 \n",
       "Q 1341 2459 1539 2690 \n",
       "Q 1738 2922 1950 3153 \n",
       "L 3341 4656 \n",
       "L 4119 4656 \n",
       "L 2238 2641 \n",
       "L 4122 0 \n",
       "L 3419 0 \n",
       "L 1828 2238 \n",
       "L 1156 1528 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-1c8\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2\" transform=\"translate(62.171875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-49\" transform=\"translate(127.75 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2\" transform=\"translate(198.84375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-18d\" transform=\"translate(267.84375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-10f\" transform=\"translate(332 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p8c734b61f9\">\n",
       "   <rect x=\"46.90957\" y=\"7.751567\" width=\"388.49043\" height=\"286.730605\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "IC_SQUID = 4e-6\n",
    "\n",
    "\n",
    "def cpw_jpa_netlist(\n",
    "    control: str,\n",
    "    *,\n",
    "    route: str = \"A\",\n",
    "    flux: float = 0.3,\n",
    "    pump: float = 0.0,\n",
    "    f_pump: float = 1e9,\n",
    ") -> Netlist:\n",
    "    \"\"\"Quarter-wave CPW JPA netlist using Route A or Route B for the line.\"\"\"\n",
    "    return Netlist(\n",
    "        \"Quarter-wave CPW JPA\",\n",
    "        loads=[*LINE_LOADS, \"squid.va\"],\n",
    "        subckts=[ROUTE_A if route == \"A\" else ROUTE_B],\n",
    "        circuit=f\"\"\"\n",
    "            model isource isource\n",
    "            model vsource vsource\n",
    "            model resistor resistor\n",
    "            model capacitor capacitor\n",
    "            model tline_ideal tline_ideal\n",
    "            model squid squid\n",
    "\n",
    "            iin (0 in) isource dc=0 {SMALL_SIGNAL}\n",
    "            rport (in 0) resistor r={R_PORT}\n",
    "            x1 (in 2) ccline\n",
    "            s1 (2 0 fl) squid ic_tot={IC_SQUID}\n",
    "            vfl (fl 0) vsource type=\"sine\" sinedc={flux} ampl={pump} freq={f_pump}\n",
    "        \"\"\",\n",
    "        control=f\"{OPTIONS}\\n{control}\",\n",
    "    )\n",
    "\n",
    "\n",
    "def resonance(f: jax.Array, gamma: jax.Array) -> tuple[jax.Array, jax.Array]:\n",
    "    r\"\"\"Peak-delay frequency and 4/(2π tau).\n",
    "\n",
    "    Group delay is :math:`-\\text{d}\\arg\\Gamma/\\text{d}\\omega`\n",
    "    :cite:p:`m.pozarMicrowaveEngineering2012`. The second value is a linewidth\n",
    "    only for a lossless one-port resonator\n",
    "    :cite:p:`gopplCoplanarWaveguideResonators2008a`.\n",
    "\n",
    "    Returns:\n",
    "        Peak-delay frequency and effective delay width, both in Hz.\n",
    "    \"\"\"\n",
    "    grad = jnp.gradient(jnp.unwrap(jnp.angle(gamma)), 2 * jnp.pi * f)\n",
    "    tau = -jnp.asarray(grad[0] if isinstance(grad, list) else grad)\n",
    "    k = tau.argmax()\n",
    "    return f[k], 4 / tau[k] / (2 * jnp.pi)\n",
    "\n",
    "\n",
    "def sax_reflection(f: jax.Array, flux: float) -> jax.Array:\n",
    "    \"\"\"Reflection of the SAX coupled line terminated by the SAX SQUID.\n",
    "\n",
    "    The SQUID admittance follows :cite:p:`tescheDcSQUIDNoise1977`.\n",
    "\n",
    "    Returns:\n",
    "        Complex port reflection coefficients.\n",
    "    \"\"\"\n",
    "    abcd = coupled_line_abcd(f)\n",
    "    squid = squid_junction(\n",
    "        f=f, ic_tot=IC_SQUID, capacitance=0.0, resistance=1e12, flux=flux * Φ_0\n",
    "    )\n",
    "    y_load = 1 / squid[\"o1\", \"o1\"] - 1\n",
    "    z_in = (abcd[:, 0, 0] / y_load + abcd[:, 0, 1]) / (\n",
    "        abcd[:, 1, 0] / y_load + abcd[:, 1, 1]\n",
    "    )\n",
    "    return (z_in - R_PORT) / (z_in + R_PORT)\n",
    "\n",
    "\n",
    "fluxes = [0.0, 0.1, 0.2, 0.25, 0.3, 0.35, 0.4]\n",
    "ac = vacask.run(\n",
    "    cpw_jpa_netlist(f\"\"\"\n",
    "        sweep flux instance=\"vfl\" parameter=\"sinedc\" values={format_value(fluxes)}\n",
    "        analysis ac1 ac from=5.4e9 to=6.2e9 mode=\"lin\" points=160001\n",
    "    \"\"\")\n",
    ")[\"ac1\"]\n",
    "f_grid = jnp.linspace(5.4e9, 6.2e9, 160001)\n",
    "f_res = jnp.array([\n",
    "    resonance(jnp.asarray(g[\"frequency\"].real), reflection(g[\"in\"], I_SIG))[0]\n",
    "    for g in ac.split(\"flux\")\n",
    "])\n",
    "f_sax = jnp.array([\n",
    "    resonance(f_grid, sax_reflection(f_grid, flux))[0] for flux in fluxes\n",
    "])\n",
    "for flux, f0, f0_sax in zip(fluxes, f_res, f_sax, strict=True):\n",
    "    print(f\"Φ = {flux:.2f} Φ0: VACASK {f0 / 1e9:.5f} GHz, SAX {f0_sax / 1e9:.5f} GHz\")\n",
    "\n",
    "fluxes_fine = jnp.linspace(0, 0.4, 41)\n",
    "f_sax_fine = jnp.array([\n",
    "    resonance(f_grid, sax_reflection(f_grid, flux))[0] for flux in fluxes_fine\n",
    "])\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(fluxes_fine, f_sax_fine / 1e9, \"-\", label=\"SAX\")\n",
    "ax.plot(fluxes, f_res / 1e9, \"o\", label=\"VACASK\")\n",
    "ax.set_xlabel(r\"Flux bias ($\\Phi_0$)\")\n",
    "ax.set_ylabel(r\"$f_0$ (GHz)\")\n",
    "ax.legend()\n",
    "show_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77c6be9b",
   "metadata": {},
   "source": [
    "## Operating point and the single-mode threshold\n",
    "\n",
    "For $\\omega_0(t)=\\omega_0+\\delta\\omega\\cos(2\\omega_0t)$, single-mode theory\n",
    "{cite:p}`royIntroductionParametricAmplification2016` gives the threshold\n",
    "$\\delta\\omega=\\kappa$ and the center gain\n",
    "\n",
    "```{math}\n",
    ":label: eq:vacask-3wm-gain\n",
    "G_0 = \\left(\\frac{1 + r^2}{1 - r^2}\\right)^2,\n",
    "\\qquad r = \\frac{\\delta\\omega}{\\kappa}\n",
    "      = \\frac{|\\text{d}f_0/\\text{d}\\Phi|\\,\\Phi_\\text{p}}{\\kappa / 2\\pi}.\n",
    "```\n",
    "\n",
    "We measure $f_0$, $\\kappa$ and $\\text{d}f_0/\\text{d}\\Phi$ at\n",
    "$\\Phi=0.3\\,\\Phi_0$ from AC sweeps. These runs have no pump, so the delay gives\n",
    "the unpumped linewidth."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "95bcefc2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:45.871708Z",
     "iopub.status.busy": "2026-10-21T07:06:45.871661Z",
     "iopub.status.idle": "2026-10-21T07:06:46.682903Z",
     "shell.execute_reply": "2026-10-21T07:06:46.682578Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "f0 = 5.916001 GHz, κ/2π = 10.242 MHz, Q = 578\n",
      "df0/dΦ = -1.7005 GHz/Φ0\n",
      "single-mode threshold Φp = 0.00602 Φ0\n"
     ]
    }
   ],
   "source": [
    "FLUX_BIAS = 0.3\n",
    "operating_fluxes = [FLUX_BIAS - 1e-3, FLUX_BIAS, FLUX_BIAS + 1e-3]\n",
    "ac = vacask.run(\n",
    "    cpw_jpa_netlist(f\"\"\"\n",
    "        sweep flux instance=\"vfl\" parameter=\"sinedc\" values={format_value(operating_fluxes)}\n",
    "        analysis ac1 ac from=5.85e9 to=6.0e9 mode=\"lin\" points=150001\n",
    "    \"\"\")\n",
    ")[\"ac1\"]\n",
    "operating = [\n",
    "    resonance(jnp.asarray(g[\"frequency\"].real), reflection(g[\"in\"], I_SIG))\n",
    "    for g in ac.split(\"flux\")\n",
    "]\n",
    "(f_lo, _), (F0, KAPPA), (f_hi, _) = (tuple(map(float, x)) for x in operating)\n",
    "DF_DPHI = (f_hi - f_lo) / 2e-3\n",
    "PUMP_THRESHOLD = KAPPA / abs(DF_DPHI)\n",
    "print(f\"f0 = {F0 / 1e9:.6f} GHz, κ/2π = {KAPPA / 1e6:.3f} MHz, Q = {F0 / KAPPA:.0f}\")\n",
    "print(f\"df0/dΦ = {DF_DPHI / 1e9:.4f} GHz/Φ0\")\n",
    "print(f\"single-mode threshold Φp = {PUMP_THRESHOLD:.5f} Φ0\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "abbd253f",
   "metadata": {},
   "source": [
    "## Gain versus pump amplitude\n",
    "\n",
    "Pump at $f_\\text{p}=2f_0$ below threshold and compare with\n",
    "Eq. {eq}`eq:vacask-3wm-gain`.\n",
    "\n",
    "`hbac` first solves the pump state, then finds the infinitesimal signal and\n",
    "idler around it. By default it also solves the pump HB, so no separate HB run\n",
    "is needed. See the {ref}`vacask-analysis-guide`.\n",
    "\n",
    "At $f_\\text{s}=f_\\text{p}/2$ the signal and idler share one frequency and the\n",
    "gain depends on the signal phase. The sweep skips that point, so each curve\n",
    "is the phase-preserving gain of a slightly detuned signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "54dda149",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:46.683922Z",
     "iopub.status.busy": "2026-10-21T07:06:46.683869Z",
     "iopub.status.idle": "2026-10-21T07:06:47.362515Z",
     "shell.execute_reply": "2026-10-21T07:06:47.362177Z"
    },
    "tags": [
     "hide-input",
     "cpw-gain"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r = 0.3: peak gain  1.26 dB (single-mode  1.57 dB), |S_ss|² - |S_is|² = 0.932\n",
      "r = 0.5: peak gain  3.42 dB (single-mode  4.44 dB), |S_ss|² - |S_is|² = 0.786\n",
      "r = 0.7: peak gain  6.53 dB (single-mode  9.31 dB), |S_ss|² - |S_is|² = 0.492\n",
      "r = 0.8: peak gain  8.46 dB (single-mode 13.17 dB), |S_ss|² - |S_is|² = 0.241\n",
      "r = 0.9: peak gain 10.70 dB (single-mode 19.58 dB), |S_ss|² - |S_is|² = -0.136\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"453.582731pt\" height=\"338.4pt\" viewBox=\"0 0 453.582731 338.4\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2026-10-21T10:06:47.253859</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.11.1, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 338.4 \n",
       "L 453.582731 338.4 \n",
       "L 453.582731 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 53.10957 294.79082 \n",
       "L 436.831827 294.79082 \n",
       "L 436.831827 25.2 \n",
       "L 53.10957 25.2 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path d=\"M 53.358666 294.79082 \n",
       "L 53.358666 25.2 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path id=\"m49d2ad5625\" d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m49d2ad5625\" x=\"53.358666\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathdefault{−1.00}$ -->\n",
       "      <g transform=\"translate(40.258666 311.47832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-5f3\" d=\"M 3584 2091 \n",
       "L 3584 1553 \n",
       "L 656 1553 \n",
       "L 656 2091 \n",
       "L 3584 2091 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-53e\" d=\"M 2041 4656 \n",
       "L 2041 0 \n",
       "L 1456 0 \n",
       "L 1456 4106 \n",
       "L 1425 4106 \n",
       "L 300 3272 \n",
       "L 300 3909 \n",
       "L 1313 4656 \n",
       "L 2041 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-5de\" d=\"M 922 -41 \n",
       "Q 747 -41 623 82 \n",
       "Q 500 206 500 381 \n",
       "Q 500 556 623 679 \n",
       "Q 747 803 922 803 \n",
       "Q 1097 803 1220 679 \n",
       "Q 1344 556 1344 381 \n",
       "Q 1344 206 1220 82 \n",
       "Q 1097 -41 922 -41 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-53d\" d=\"M 2019 -63 \n",
       "Q 1241 -63 811 562 \n",
       "Q 381 1188 381 2325 \n",
       "Q 381 3456 814 4087 \n",
       "Q 1247 4719 2019 4719 \n",
       "Q 2794 4719 3225 4087 \n",
       "Q 3656 3456 3656 2325 \n",
       "Q 3656 1188 3228 562 \n",
       "Q 2800 -63 2019 -63 \n",
       "z\n",
       "M 2019 456 \n",
       "Q 2531 456 2807 948 \n",
       "Q 3084 1441 3084 2325 \n",
       "Q 3084 3216 2807 3709 \n",
       "Q 2531 4203 2019 4203 \n",
       "Q 1509 4203 1231 3708 \n",
       "Q 953 3213 953 2325 \n",
       "Q 953 1441 1231 948 \n",
       "Q 1509 456 2019 456 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(106.835938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(135.644531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(198.730469 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path d=\"M 101.261674 294.79082 \n",
       "L 101.261674 25.2 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m49d2ad5625\" x=\"101.261674\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathdefault{−0.75}$ -->\n",
       "      <g transform=\"translate(87.561674 311.47832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-546\" d=\"M 625 0 \n",
       "L 2694 4097 \n",
       "L 2694 4134 \n",
       "L 306 4134 \n",
       "L 306 4656 \n",
       "L 3316 4656 \n",
       "L 3316 4103 \n",
       "L 1250 0 \n",
       "L 625 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-543\" d=\"M 1863 -63 \n",
       "Q 1453 -63 1128 98 \n",
       "Q 803 259 609 539 \n",
       "Q 416 819 400 1175 \n",
       "L 975 1175 \n",
       "Q 1003 863 1258 661 \n",
       "Q 1513 459 1863 459 \n",
       "Q 2144 459 2364 590 \n",
       "Q 2584 722 2709 953 \n",
       "Q 2834 1184 2834 1478 \n",
       "Q 2834 1778 2703 2015 \n",
       "Q 2572 2253 2345 2389 \n",
       "Q 2119 2525 1825 2525 \n",
       "Q 1609 2525 1387 2456 \n",
       "Q 1166 2388 1028 2281 \n",
       "L 472 2350 \n",
       "L 747 4656 \n",
       "L 3197 4656 \n",
       "L 3197 4134 \n",
       "L 1247 4134 \n",
       "L 1088 2775 \n",
       "L 1113 2775 \n",
       "Q 1256 2894 1475 2970 \n",
       "Q 1694 3047 1934 3047 \n",
       "Q 2363 3047 2697 2845 \n",
       "Q 3031 2644 3223 2291 \n",
       "Q 3416 1938 3416 1488 \n",
       "Q 3416 1041 3214 691 \n",
       "Q 3013 341 2663 139 \n",
       "Q 2313 -63 1863 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(129.248047 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(158.056641 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(214.648438 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path d=\"M 149.164682 294.79082 \n",
       "L 149.164682 25.2 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m49d2ad5625\" x=\"149.164682\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathdefault{−0.50}$ -->\n",
       "      <g transform=\"translate(135.114682 311.47832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(129.248047 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(158.056641 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(217.382812 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path d=\"M 197.06769 294.79082 \n",
       "L 197.06769 25.2 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m49d2ad5625\" x=\"197.06769\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathdefault{−0.25}$ -->\n",
       "      <g transform=\"translate(183.11769 311.47832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53f\" d=\"M 481 0 \n",
       "L 481 428 \n",
       "L 2028 2106 \n",
       "Q 2288 2388 2459 2600 \n",
       "Q 2631 2813 2718 3005 \n",
       "Q 2806 3197 2806 3413 \n",
       "Q 2806 3778 2554 3990 \n",
       "Q 2303 4203 1931 4203 \n",
       "Q 1534 4203 1298 3965 \n",
       "Q 1063 3728 1063 3334 \n",
       "L 494 3334 \n",
       "Q 494 3747 684 4059 \n",
       "Q 875 4372 1203 4545 \n",
       "Q 1531 4719 1947 4719 \n",
       "Q 2363 4719 2683 4545 \n",
       "Q 3003 4372 3186 4078 \n",
       "Q 3369 3784 3369 3419 \n",
       "Q 3369 3166 3278 2927 \n",
       "Q 3188 2688 2959 2384 \n",
       "Q 2731 2081 2319 1644 \n",
       "L 1300 559 \n",
       "L 1300 522 \n",
       "L 3447 522 \n",
       "L 3447 0 \n",
       "L 481 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(129.248047 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(158.056641 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(219.042969 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path d=\"M 244.970698 294.79082 \n",
       "L 244.970698 25.2 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m49d2ad5625\" x=\"244.970698\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathdefault{0.00}$ -->\n",
       "      <g transform=\"translate(234.020698 311.47832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(154.980469 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path d=\"M 292.873707 294.79082 \n",
       "L 292.873707 25.2 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m49d2ad5625\" x=\"292.873707\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathdefault{0.25}$ -->\n",
       "      <g transform=\"translate(282.223707 311.47832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(152.880859 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path d=\"M 340.776715 294.79082 \n",
       "L 340.776715 25.2 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m49d2ad5625\" x=\"340.776715\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathdefault{0.50}$ -->\n",
       "      <g transform=\"translate(330.026715 311.47832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(151.220703 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path d=\"M 388.679723 294.79082 \n",
       "L 388.679723 25.2 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m49d2ad5625\" x=\"388.679723\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathdefault{0.75}$ -->\n",
       "      <g transform=\"translate(378.279723 311.47832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(148.486328 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path d=\"M 436.582731 294.79082 \n",
       "L 436.582731 25.2 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m49d2ad5625\" x=\"436.582731\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- $\\mathdefault{1.00}$ -->\n",
       "      <g transform=\"translate(426.782731 311.47832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(69.482422 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(132.568359 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_10\">\n",
       "     <!-- Signal detuning $(f_\\text{s} - f_0)/(\\kappa/2\\pi)$ -->\n",
       "     <g transform=\"translate(168.465698 328.54668) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-18d\" d=\"M 2053 -81 \n",
       "Q 1297 -81 850 276 \n",
       "Q 403 634 363 1219 \n",
       "L 972 1219 \n",
       "Q 997 956 1150 786 \n",
       "Q 1303 616 1542 533 \n",
       "Q 1781 450 2053 450 \n",
       "Q 2369 450 2620 553 \n",
       "Q 2872 656 3019 843 \n",
       "Q 3166 1031 3166 1278 \n",
       "Q 3166 1503 3039 1643 \n",
       "Q 2913 1784 2703 1875 \n",
       "Q 2494 1966 2244 2034 \n",
       "L 1681 2194 \n",
       "Q 1119 2353 806 2650 \n",
       "Q 494 2947 494 3409 \n",
       "Q 494 3803 706 4098 \n",
       "Q 919 4394 1281 4556 \n",
       "Q 1644 4719 2094 4719 \n",
       "Q 2553 4719 2906 4556 \n",
       "Q 3259 4394 3464 4114 \n",
       "Q 3669 3834 3681 3481 \n",
       "L 3100 3481 \n",
       "Q 3059 3822 2775 4008 \n",
       "Q 2491 4194 2075 4194 \n",
       "Q 1622 4194 1347 3980 \n",
       "Q 1072 3766 1072 3438 \n",
       "Q 1072 3194 1223 3045 \n",
       "Q 1375 2897 1583 2814 \n",
       "Q 1791 2731 1959 2684 \n",
       "L 2425 2556 \n",
       "Q 2613 2506 2839 2418 \n",
       "Q 3066 2331 3272 2186 \n",
       "Q 3478 2041 3611 1817 \n",
       "Q 3744 1594 3744 1269 \n",
       "Q 3744 888 3545 581 \n",
       "Q 3347 275 2969 97 \n",
       "Q 2591 -81 2053 -81 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2b1\" d=\"M 494 0 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "z\n",
       "M 778 4066 \n",
       "Q 619 4066 503 4175 \n",
       "Q 387 4284 387 4438 \n",
       "Q 387 4594 503 4701 \n",
       "Q 619 4809 778 4809 \n",
       "Q 940 4809 1056 4701 \n",
       "Q 1172 4594 1172 4438 \n",
       "Q 1172 4284 1056 4175 \n",
       "Q 940 4066 778 4066 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-292\" d=\"M 1909 -1381 \n",
       "Q 1328 -1381 981 -1168 \n",
       "Q 634 -956 472 -669 \n",
       "L 928 -375 \n",
       "Q 1003 -475 1114 -597 \n",
       "Q 1225 -719 1414 -805 \n",
       "Q 1603 -891 1909 -891 \n",
       "Q 2328 -891 2598 -691 \n",
       "Q 2869 -491 2869 -59 \n",
       "L 2869 641 \n",
       "L 2816 641 \n",
       "Q 2756 541 2648 403 \n",
       "Q 2541 266 2339 161 \n",
       "Q 2138 56 1800 56 \n",
       "Q 1381 56 1047 254 \n",
       "Q 713 453 519 834 \n",
       "Q 325 1216 325 1763 \n",
       "Q 325 2303 515 2701 \n",
       "Q 706 3100 1042 3319 \n",
       "Q 1378 3538 1813 3538 \n",
       "Q 2150 3538 2351 3427 \n",
       "Q 2553 3316 2662 3172 \n",
       "Q 2772 3028 2831 2934 \n",
       "L 2884 2934 \n",
       "L 2884 3494 \n",
       "L 3431 3494 \n",
       "L 3431 -91 \n",
       "Q 3431 -541 3228 -827 \n",
       "Q 3025 -1113 2679 -1247 \n",
       "Q 2334 -1381 1909 -1381 \n",
       "z\n",
       "M 1894 556 \n",
       "Q 2369 556 2622 879 \n",
       "Q 2875 1203 2875 1775 \n",
       "Q 2875 2331 2626 2682 \n",
       "Q 2378 3034 1894 3034 \n",
       "Q 1563 3034 1341 2864 \n",
       "Q 1119 2694 1008 2409 \n",
       "Q 897 2125 897 1775 \n",
       "Q 897 1238 1150 897 \n",
       "Q 1403 556 1894 556 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-305\" d=\"M 1056 2094 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 3494 \n",
       "L 1034 3494 \n",
       "L 1038 2847 \n",
       "Q 1206 3219 1479 3378 \n",
       "Q 1753 3538 2106 3538 \n",
       "Q 2638 3538 2963 3209 \n",
       "Q 3288 2881 3288 2219 \n",
       "L 3288 0 \n",
       "L 2725 0 \n",
       "L 2725 2172 \n",
       "Q 2725 2575 2514 2803 \n",
       "Q 2303 3031 1938 3031 \n",
       "Q 1559 3031 1307 2786 \n",
       "Q 1056 2541 1056 2094 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-1fb\" d=\"M 1472 -81 \n",
       "Q 1141 -81 870 44 \n",
       "Q 600 169 440 409 \n",
       "Q 281 650 281 994 \n",
       "Q 281 1294 400 1481 \n",
       "Q 519 1669 717 1776 \n",
       "Q 916 1884 1156 1937 \n",
       "Q 1397 1991 1641 2022 \n",
       "Q 1953 2063 2150 2084 \n",
       "Q 2347 2106 2442 2159 \n",
       "Q 2538 2213 2538 2341 \n",
       "L 2538 2359 \n",
       "Q 2538 2684 2353 2864 \n",
       "Q 2169 3044 1806 3044 \n",
       "Q 1428 3044 1215 2880 \n",
       "Q 1003 2716 922 2531 \n",
       "L 381 2709 \n",
       "Q 516 3028 744 3208 \n",
       "Q 972 3388 1247 3463 \n",
       "Q 1522 3538 1791 3538 \n",
       "Q 1966 3538 2189 3495 \n",
       "Q 2413 3453 2620 3328 \n",
       "Q 2828 3203 2964 2958 \n",
       "Q 3100 2713 3100 2303 \n",
       "L 3100 0 \n",
       "L 2547 0 \n",
       "L 2547 475 \n",
       "L 2509 475 \n",
       "Q 2450 353 2319 223 \n",
       "Q 2188 94 1978 6 \n",
       "Q 1769 -81 1472 -81 \n",
       "z\n",
       "M 1569 416 \n",
       "Q 1881 416 2097 537 \n",
       "Q 2313 659 2425 854 \n",
       "Q 2538 1050 2538 1263 \n",
       "L 2538 1747 \n",
       "Q 2503 1706 2387 1673 \n",
       "Q 2272 1641 2123 1616 \n",
       "Q 1975 1591 1836 1573 \n",
       "Q 1697 1556 1616 1547 \n",
       "Q 1413 1522 1236 1461 \n",
       "Q 1059 1400 953 1283 \n",
       "Q 847 1166 847 966 \n",
       "Q 847 694 1051 555 \n",
       "Q 1256 416 1569 416 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2e0\" d=\"M 1056 4656 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 4656 \n",
       "L 1056 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-6f1\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-255\" d=\"M 1803 -75 \n",
       "Q 1369 -75 1034 147 \n",
       "Q 700 369 512 775 \n",
       "Q 325 1181 325 1738 \n",
       "Q 325 2291 514 2695 \n",
       "Q 703 3100 1037 3319 \n",
       "Q 1372 3538 1806 3538 \n",
       "Q 2147 3538 2347 3425 \n",
       "Q 2547 3313 2655 3170 \n",
       "Q 2763 3028 2819 2934 \n",
       "L 2863 2934 \n",
       "L 2863 4656 \n",
       "L 3425 4656 \n",
       "L 3425 0 \n",
       "L 2881 0 \n",
       "L 2881 541 \n",
       "L 2819 541 \n",
       "Q 2763 444 2652 298 \n",
       "Q 2541 153 2339 39 \n",
       "Q 2138 -75 1803 -75 \n",
       "z\n",
       "M 1888 428 \n",
       "Q 2363 428 2616 793 \n",
       "Q 2869 1159 2869 1744 \n",
       "Q 2869 2322 2620 2678 \n",
       "Q 2372 3034 1888 3034 \n",
       "Q 1556 3034 1336 2862 \n",
       "Q 1116 2691 1006 2398 \n",
       "Q 897 2106 897 1744 \n",
       "Q 897 1378 1008 1079 \n",
       "Q 1119 781 1341 604 \n",
       "Q 1563 428 1888 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-266\" d=\"M 1963 -75 \n",
       "Q 1456 -75 1089 150 \n",
       "Q 722 375 523 778 \n",
       "Q 325 1181 325 1719 \n",
       "Q 325 2256 519 2665 \n",
       "Q 713 3075 1067 3306 \n",
       "Q 1422 3538 1897 3538 \n",
       "Q 2175 3538 2445 3445 \n",
       "Q 2716 3353 2936 3148 \n",
       "Q 3156 2944 3287 2609 \n",
       "Q 3419 2275 3419 1791 \n",
       "L 3419 1556 \n",
       "L 894 1556 \n",
       "Q 916 1009 1208 717 \n",
       "Q 1500 425 1966 425 \n",
       "Q 2275 425 2498 561 \n",
       "Q 2722 697 2819 963 \n",
       "L 3363 813 \n",
       "Q 3241 416 2870 170 \n",
       "Q 2500 -75 1963 -75 \n",
       "z\n",
       "M 897 2031 \n",
       "L 2847 2031 \n",
       "Q 2806 2478 2567 2758 \n",
       "Q 2328 3038 1897 3038 \n",
       "Q 1597 3038 1380 2897 \n",
       "Q 1163 2756 1038 2528 \n",
       "Q 913 2300 897 2031 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-379\" d=\"M 1869 3494 \n",
       "L 1869 3013 \n",
       "L 1150 3013 \n",
       "L 1150 906 \n",
       "Q 1150 672 1245 564 \n",
       "Q 1341 456 1563 456 \n",
       "Q 1616 456 1698 468 \n",
       "Q 1781 481 1850 494 \n",
       "L 1966 19 \n",
       "Q 1878 -13 1767 -28 \n",
       "Q 1656 -44 1547 -44 \n",
       "Q 1094 -44 841 195 \n",
       "Q 588 434 588 863 \n",
       "L 588 3013 \n",
       "L 63 3013 \n",
       "L 63 3494 \n",
       "L 588 3494 \n",
       "L 588 4325 \n",
       "L 1150 4325 \n",
       "L 1150 3494 \n",
       "L 1869 3494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-393\" d=\"M 1678 -44 \n",
       "Q 1150 -44 822 284 \n",
       "Q 494 613 494 1275 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 1322 \n",
       "Q 1056 919 1268 691 \n",
       "Q 1481 463 1847 463 \n",
       "Q 2222 463 2473 708 \n",
       "Q 2725 953 2725 1400 \n",
       "L 2725 3494 \n",
       "L 3291 3494 \n",
       "L 3291 0 \n",
       "L 2747 0 \n",
       "L 2747 653 \n",
       "Q 2575 272 2298 114 \n",
       "Q 2022 -44 1678 -44 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-9\" d=\"M 1446 4960 \n",
       "C 819 4070 256 3309 256 1792 \n",
       "C 256 275 819 -486 1446 -1376 \n",
       "L 1818 -1120 \n",
       "C 1242 -269 870 422 870 1792 \n",
       "C 870 3168 1242 3853 1818 4704 \n",
       "L 1446 4960 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-47\" d=\"M 1754 4326 \n",
       "C 1926 4326 2125 4294 2342 4198 \n",
       "L 2528 4627 \n",
       "C 2259 4742 2042 4800 1722 4800 \n",
       "C 1037 4800 666 4397 666 3834 \n",
       "L 666 3373 \n",
       "L 64 3373 \n",
       "L 64 2918 \n",
       "L 666 2918 \n",
       "L 666 0 \n",
       "L 1254 0 \n",
       "L 1254 2918 \n",
       "L 2010 2918 \n",
       "L 2074 3373 \n",
       "L 1254 3373 \n",
       "L 1254 3840 \n",
       "C 1254 4166 1382 4326 1754 4326 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-54\" d=\"M 1523 3450 \n",
       "C 826 3450 307 3059 307 2522 \n",
       "C 307 2048 595 1734 1325 1542 \n",
       "C 1978 1370 2144 1242 2144 909 \n",
       "C 2144 589 1862 397 1421 397 \n",
       "C 1056 397 742 518 474 723 \n",
       "L 160 365 \n",
       "C 454 109 864 -77 1434 -77 \n",
       "C 2118 -77 2765 243 2765 947 \n",
       "C 2765 1536 2355 1818 1645 1997 \n",
       "C 1101 2138 922 2266 922 2541 \n",
       "C 922 2810 1158 2982 1542 2982 \n",
       "C 1856 2982 2118 2886 2419 2694 \n",
       "L 2669 3066 \n",
       "C 2349 3309 1997 3450 1523 3450 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-2f2\" d=\"M 397 1549 \n",
       "L 2803 1549 \n",
       "L 2803 2035 \n",
       "L 397 2035 \n",
       "L 397 1549 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-11\" d=\"M 1792 4019 \n",
       "C 2323 4019 2611 3533 2611 2208 \n",
       "C 2611 877 2323 390 1792 390 \n",
       "C 1254 390 973 877 973 2208 \n",
       "C 973 3533 1254 4019 1792 4019 \n",
       "z\n",
       "M 1792 4486 \n",
       "C 832 4486 358 3699 358 2208 \n",
       "C 358 717 832 -77 1792 -77 \n",
       "C 2752 -77 3226 717 3226 2208 \n",
       "C 3226 3693 2752 4486 1792 4486 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-a\" d=\"M 627 4960 \n",
       "L 256 4704 \n",
       "C 832 3853 1203 3168 1203 1792 \n",
       "C 1203 422 832 -269 256 -1120 \n",
       "L 627 -1376 \n",
       "C 1254 -486 1818 275 1818 1792 \n",
       "C 1818 3309 1254 4070 627 4960 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-10\" d=\"M 2157 4717 \n",
       "L 672 -992 \n",
       "L 1178 -1114 \n",
       "L 2656 4602 \n",
       "L 2157 4717 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-18a\" d=\"M 3174 3194 \n",
       "L 2739 3450 \n",
       "L 1261 1805 \n",
       "L 2426 416 \n",
       "C 2688 102 2848 -38 3174 -77 \n",
       "L 3360 358 \n",
       "C 3174 429 3034 525 2867 723 \n",
       "L 1933 1824 \n",
       "L 3174 3194 \n",
       "z\n",
       "M 1018 3450 \n",
       "L 480 3373 \n",
       "C 570 3091 646 2778 646 2285 \n",
       "L 646 0 \n",
       "L 1235 0 \n",
       "L 1235 2170 \n",
       "C 1235 2886 1126 3219 1018 3450 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-13\" d=\"M 1651 4486 \n",
       "C 1043 4486 634 4269 288 3840 \n",
       "L 685 3533 \n",
       "C 960 3859 1197 4000 1619 4000 \n",
       "C 2099 4000 2387 3706 2387 3226 \n",
       "C 2387 2528 2016 2042 378 467 \n",
       "L 378 0 \n",
       "L 3034 0 \n",
       "L 3104 493 \n",
       "L 1050 493 \n",
       "C 2490 1805 3002 2451 3002 3251 \n",
       "C 3002 3949 2502 4486 1651 4486 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-190\" d=\"M 3616 2893 \n",
       "L 3616 3373 \n",
       "L 781 3373 \n",
       "C 467 3373 326 3360 96 3277 \n",
       "L 198 2816 \n",
       "C 410 2874 493 2886 768 2886 \n",
       "L 768 0 \n",
       "L 1357 0 \n",
       "L 1357 2886 \n",
       "L 2522 2893 \n",
       "L 2522 826 \n",
       "C 2522 288 2694 51 3219 -77 \n",
       "L 3405 365 \n",
       "C 3194 461 3110 563 3110 896 \n",
       "L 3110 2893 \n",
       "L 3616 2893 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-18d\" transform=\"translate(0 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(64.160156 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-292\" transform=\"translate(88.378906 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(149.707031 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(208.789062 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(264.941406 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(289.160156 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-255\" transform=\"translate(317.285156 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(378.515625 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(436.816406 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(469.53125 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(528.662109 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(587.744141 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(611.962891 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-292\" transform=\"translate(671.044922 0.5)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(732.373047 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-9\" transform=\"translate(760.498047 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-47\" transform=\"translate(792.89801 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-54\" transform=\"translate(826.39798 -15.310937) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-2f2\" transform=\"translate(878.863086 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-47\" transform=\"translate(946.003024 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-11\" transform=\"translate(979.502994 -15.310937) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-a\" transform=\"translate(1021.338118 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-10\" transform=\"translate(1053.738081 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-9\" transform=\"translate(1105.738036 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-18a\" transform=\"translate(1138.137999 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-10\" transform=\"translate(1190.637953 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-13\" transform=\"translate(1242.637907 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-190\" transform=\"translate(1298.637862 0.5)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-a\" transform=\"translate(1358.137801 0.5)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path d=\"M 53.10957 282.413454 \n",
       "L 436.831827 282.413454 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <defs>\n",
       "       <path id=\"m90d3c4fc4c\" d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m90d3c4fc4c\" x=\"53.10957\" y=\"282.413454\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- $\\mathdefault{0.0}$ -->\n",
       "      <g transform=\"translate(30.60957 287.257204) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path d=\"M 53.10957 251.13433 \n",
       "L 436.831827 251.13433 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m90d3c4fc4c\" x=\"53.10957\" y=\"251.13433\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- $\\mathdefault{2.5}$ -->\n",
       "      <g transform=\"translate(31.10957 255.97808) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(60.986328 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(89.794922 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path d=\"M 53.10957 219.855206 \n",
       "L 436.831827 219.855206 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m90d3c4fc4c\" x=\"53.10957\" y=\"219.855206\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- $\\mathdefault{5.0}$ -->\n",
       "      <g transform=\"translate(30.90957 224.698956) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(88.134766 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path d=\"M 53.10957 188.576082 \n",
       "L 436.831827 188.576082 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m90d3c4fc4c\" x=\"53.10957\" y=\"188.576082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- $\\mathdefault{7.5}$ -->\n",
       "      <g transform=\"translate(31.60957 193.419832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(0 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(56.591797 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(85.400391 0.25)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <path d=\"M 53.10957 157.296958 \n",
       "L 436.831827 157.296958 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m90d3c4fc4c\" x=\"53.10957\" y=\"157.296958\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- $\\mathdefault{10.0}$ -->\n",
       "      <g transform=\"translate(26.50957 162.140708) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(103.759766 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(132.568359 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <path d=\"M 53.10957 126.017834 \n",
       "L 436.831827 126.017834 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m90d3c4fc4c\" x=\"53.10957\" y=\"126.017834\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- $\\mathdefault{12.5}$ -->\n",
       "      <g transform=\"translate(27.10957 130.861584) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(101.660156 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(130.46875 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <path d=\"M 53.10957 94.73871 \n",
       "L 436.831827 94.73871 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m90d3c4fc4c\" x=\"53.10957\" y=\"94.73871\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- $\\mathdefault{15.0}$ -->\n",
       "      <g transform=\"translate(26.90957 99.58246) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(100 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(128.808594 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <path d=\"M 53.10957 63.459585 \n",
       "L 436.831827 63.459585 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m90d3c4fc4c\" x=\"53.10957\" y=\"63.459585\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- $\\mathdefault{17.5}$ -->\n",
       "      <g transform=\"translate(27.50957 68.303335) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(40.673828 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(97.265625 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(126.074219 0.25)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <path d=\"M 53.10957 32.180461 \n",
       "L 436.831827 32.180461 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m90d3c4fc4c\" x=\"53.10957\" y=\"32.180461\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- $\\mathdefault{20.0}$ -->\n",
       "      <g transform=\"translate(24.50957 37.024211) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(60.986328 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(124.072266 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(152.880859 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_20\">\n",
       "     <!-- Signal gain (dB) -->\n",
       "     <g transform=\"translate(17.85625 200.952363) rotate(-90) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-59d\" d=\"M 681 1897 \n",
       "Q 681 2406 786 2964 \n",
       "Q 891 3522 1072 4039 \n",
       "Q 1253 4556 1488 4941 \n",
       "L 2034 4941 \n",
       "Q 1794 4450 1617 3919 \n",
       "Q 1441 3388 1347 2870 \n",
       "Q 1253 2353 1253 1897 \n",
       "Q 1253 1275 1442 617 \n",
       "Q 1631 -41 2034 -872 \n",
       "L 1488 -872 \n",
       "Q 1091 -194 886 509 \n",
       "Q 681 1213 681 1897 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-41\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 2213 4656 \n",
       "Q 2700 4656 3017 4489 \n",
       "Q 3334 4322 3489 4042 \n",
       "Q 3644 3763 3644 3422 \n",
       "Q 3644 3122 3537 2926 \n",
       "Q 3431 2731 3257 2615 \n",
       "Q 3084 2500 2881 2444 \n",
       "L 2881 2400 \n",
       "Q 3100 2388 3317 2250 \n",
       "Q 3534 2113 3679 1859 \n",
       "Q 3825 1606 3825 1241 \n",
       "Q 3825 891 3664 609 \n",
       "Q 3503 328 3159 164 \n",
       "Q 2816 0 2266 0 \n",
       "L 563 0 \n",
       "z\n",
       "M 1156 525 \n",
       "L 2250 525 \n",
       "Q 2794 525 3023 734 \n",
       "Q 3253 944 3253 1247 \n",
       "Q 3253 1481 3134 1678 \n",
       "Q 3016 1875 2798 1994 \n",
       "Q 2581 2113 2281 2113 \n",
       "L 1156 2113 \n",
       "L 1156 525 \n",
       "z\n",
       "M 1156 2613 \n",
       "L 2181 2613 \n",
       "Q 2556 2613 2815 2831 \n",
       "Q 3075 3050 3075 3409 \n",
       "Q 3075 3713 2864 3922 \n",
       "Q 2653 4131 2200 4131 \n",
       "L 1156 4131 \n",
       "L 1156 2613 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-59e\" d=\"M 300 -872 \n",
       "Q 716 -16 898 639 \n",
       "Q 1081 1294 1081 1897 \n",
       "Q 1081 2353 987 2870 \n",
       "Q 894 3388 719 3919 \n",
       "Q 544 4450 300 4941 \n",
       "L 847 4941 \n",
       "Q 1081 4556 1264 4039 \n",
       "Q 1447 3522 1550 2962 \n",
       "Q 1653 2403 1653 1897 \n",
       "Q 1653 1200 1445 497 \n",
       "Q 1238 -206 847 -872 \n",
       "L 300 -872 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-18d\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(64.15625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-292\" transform=\"translate(88.375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(149.703125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(208.78125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(264.9375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(289.15625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-292\" transform=\"translate(317.28125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(378.609375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(434.765625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(458.984375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(518.0625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(546.1875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-255\" transform=\"translate(581.53125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-41\" transform=\"translate(642.765625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(708.203125 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_37\">\n",
       "    <path d=\"M 53.10957 282.193408 \n",
       "L 83.807351 281.850799 \n",
       "L 104.912075 281.408481 \n",
       "L 122.179576 280.827233 \n",
       "L 135.609855 280.168894 \n",
       "L 147.121523 279.407377 \n",
       "L 158.633191 278.413198 \n",
       "L 168.226247 277.372201 \n",
       "L 177.819304 276.115585 \n",
       "L 187.41236 274.640359 \n",
       "L 198.924028 272.627176 \n",
       "L 220.028752 268.835066 \n",
       "L 227.703197 267.737965 \n",
       "L 233.459031 267.129059 \n",
       "L 239.214865 266.751155 \n",
       "L 244.970698 266.632579 \n",
       "L 250.726532 266.783205 \n",
       "L 256.482366 267.19276 \n",
       "L 262.2382 267.832533 \n",
       "L 269.912645 268.968942 \n",
       "L 279.505702 270.676039 \n",
       "L 302.529037 274.903891 \n",
       "L 312.122093 276.4036 \n",
       "L 321.71515 277.678712 \n",
       "L 331.308206 278.73283 \n",
       "L 340.901263 279.587307 \n",
       "L 352.41293 280.389303 \n",
       "L 365.843209 281.079831 \n",
       "L 381.192099 281.629553 \n",
       "L 400.378212 282.071602 \n",
       "L 425.320159 282.396224 \n",
       "L 436.831827 282.4869 \n",
       "L 436.831827 282.4869 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_38\">\n",
       "    <path d=\"M 53.10957 262.798915 \n",
       "L 436.831827 262.798915 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1,1.65; stroke-dashoffset: 0; stroke: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_39\">\n",
       "    <path d=\"M 53.10957 281.827192 \n",
       "L 72.295683 281.350061 \n",
       "L 87.644573 280.772705 \n",
       "L 101.074852 280.057325 \n",
       "L 112.58652 279.227532 \n",
       "L 122.179576 278.334245 \n",
       "L 131.772633 277.206757 \n",
       "L 139.447078 276.097204 \n",
       "L 147.121523 274.765638 \n",
       "L 154.795968 273.173225 \n",
       "L 160.551802 271.782873 \n",
       "L 166.307636 270.205014 \n",
       "L 172.06347 268.423372 \n",
       "L 177.819304 266.424627 \n",
       "L 183.575137 264.200873 \n",
       "L 189.330971 261.752982 \n",
       "L 195.086805 259.094962 \n",
       "L 202.76125 255.283589 \n",
       "L 220.028752 246.482827 \n",
       "L 223.865974 244.738235 \n",
       "L 227.703197 243.175406 \n",
       "L 231.540419 241.846994 \n",
       "L 235.377642 240.802499 \n",
       "L 239.214865 240.084143 \n",
       "L 243.052087 239.722855 \n",
       "L 246.88931 239.735045 \n",
       "L 250.726532 240.120798 \n",
       "L 254.563755 240.86387 \n",
       "L 258.400977 241.933478 \n",
       "L 262.2382 243.287515 \n",
       "L 266.075423 244.876555 \n",
       "L 271.831256 247.585673 \n",
       "L 279.505702 251.540778 \n",
       "L 291.017369 257.54225 \n",
       "L 298.691814 261.267216 \n",
       "L 304.447648 263.829089 \n",
       "L 310.203482 266.168063 \n",
       "L 315.959316 268.278927 \n",
       "L 321.71515 270.166687 \n",
       "L 327.470984 271.842894 \n",
       "L 333.226817 273.322889 \n",
       "L 340.901263 275.020777 \n",
       "L 348.575708 276.442097 \n",
       "L 356.250153 277.62674 \n",
       "L 363.924598 278.611038 \n",
       "L 373.517654 279.608087 \n",
       "L 383.110711 280.394924 \n",
       "L 394.622378 281.121931 \n",
       "L 408.052657 281.743365 \n",
       "L 423.401548 282.237834 \n",
       "L 436.831827 282.536692 \n",
       "L 436.831827 282.536692 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_40\">\n",
       "    <path d=\"M 53.10957 226.899578 \n",
       "L 436.831827 226.899578 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1,1.65; stroke-dashoffset: 0; stroke: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_41\">\n",
       "    <path d=\"M 53.10957 281.33229 \n",
       "L 68.458461 280.68048 \n",
       "L 81.88874 279.883639 \n",
       "L 93.400407 278.970019 \n",
       "L 102.993464 277.995222 \n",
       "L 112.58652 276.772898 \n",
       "L 120.260965 275.574564 \n",
       "L 127.93541 274.137672 \n",
       "L 133.691244 272.875383 \n",
       "L 139.447078 271.429591 \n",
       "L 145.202912 269.774493 \n",
       "L 150.958746 267.881332 \n",
       "L 156.71458 265.718413 \n",
       "L 162.470413 263.251342 \n",
       "L 168.226247 260.443612 \n",
       "L 172.06347 258.364015 \n",
       "L 175.900692 256.105365 \n",
       "L 179.737915 253.657255 \n",
       "L 183.575137 251.010374 \n",
       "L 187.41236 248.157236 \n",
       "L 191.249583 245.093146 \n",
       "L 195.086805 241.817482 \n",
       "L 198.924028 238.335362 \n",
       "L 204.679862 232.756277 \n",
       "L 210.435695 226.835814 \n",
       "L 221.947363 214.752979 \n",
       "L 225.784586 211.005183 \n",
       "L 229.621808 207.619364 \n",
       "L 231.540419 206.111297 \n",
       "L 233.459031 204.753185 \n",
       "L 235.377642 203.56444 \n",
       "L 237.296253 202.563171 \n",
       "L 239.214865 201.765485 \n",
       "L 241.133476 201.184791 \n",
       "L 243.052087 200.831187 \n",
       "L 244.970698 200.710963 \n",
       "L 246.88931 200.826293 \n",
       "L 248.807921 201.175115 \n",
       "L 250.726532 201.751246 \n",
       "L 252.645144 202.544697 \n",
       "L 254.563755 203.542162 \n",
       "L 256.482366 204.727635 \n",
       "L 258.400977 206.0831 \n",
       "L 262.2382 209.226077 \n",
       "L 266.075423 212.812407 \n",
       "L 271.831256 218.695677 \n",
       "L 285.261535 232.791137 \n",
       "L 291.017369 238.411198 \n",
       "L 296.773203 243.606847 \n",
       "L 300.610426 246.813888 \n",
       "L 304.447648 249.811696 \n",
       "L 308.284871 252.602607 \n",
       "L 312.122093 255.192349 \n",
       "L 315.959316 257.58893 \n",
       "L 319.796538 259.801817 \n",
       "L 325.552372 262.799391 \n",
       "L 331.308206 265.443045 \n",
       "L 337.06404 267.768677 \n",
       "L 342.819874 269.8106 \n",
       "L 348.575708 271.600789 \n",
       "L 354.331542 273.168526 \n",
       "L 360.087375 274.540295 \n",
       "L 367.76182 276.105122 \n",
       "L 375.436266 277.412582 \n",
       "L 383.110711 278.504374 \n",
       "L 392.703767 279.618869 \n",
       "L 402.296824 280.507474 \n",
       "L 413.808491 281.338684 \n",
       "L 427.23877 282.059873 \n",
       "L 436.831827 282.449556 \n",
       "L 436.831827 282.449556 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_42\">\n",
       "    <path d=\"M 53.10957 165.900946 \n",
       "L 436.831827 165.900946 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1,1.65; stroke-dashoffset: 0; stroke: #2ca02c\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_43\">\n",
       "    <path d=\"M 53.10957 281.052848 \n",
       "L 66.539849 280.362115 \n",
       "L 78.051517 279.575512 \n",
       "L 89.563185 278.551298 \n",
       "L 99.156241 277.464147 \n",
       "L 106.830686 276.403266 \n",
       "L 114.505131 275.135937 \n",
       "L 122.179576 273.621314 \n",
       "L 127.93541 272.29402 \n",
       "L 133.691244 270.776358 \n",
       "L 139.447078 269.041049 \n",
       "L 145.202912 267.057178 \n",
       "L 150.958746 264.789881 \n",
       "L 156.71458 262.200089 \n",
       "L 160.551802 260.273143 \n",
       "L 164.389025 258.169751 \n",
       "L 168.226247 255.87521 \n",
       "L 172.06347 253.374133 \n",
       "L 175.900692 250.65062 \n",
       "L 179.737915 247.688532 \n",
       "L 183.575137 244.471903 \n",
       "L 187.41236 240.985552 \n",
       "L 191.249583 237.215978 \n",
       "L 195.086805 233.152647 \n",
       "L 198.924028 228.789829 \n",
       "L 202.76125 224.129198 \n",
       "L 206.598473 219.183437 \n",
       "L 212.354307 211.29867 \n",
       "L 227.703197 189.581152 \n",
       "L 231.540419 184.88898 \n",
       "L 233.459031 182.823592 \n",
       "L 235.377642 180.994289 \n",
       "L 237.296253 179.436818 \n",
       "L 239.214865 178.184098 \n",
       "L 241.133476 177.264346 \n",
       "L 243.052087 176.699285 \n",
       "L 244.970698 176.50265 \n",
       "L 246.88931 176.679191 \n",
       "L 248.807921 177.22432 \n",
       "L 250.726532 178.124463 \n",
       "L 252.645144 179.358055 \n",
       "L 254.563755 180.897031 \n",
       "L 256.482366 182.708623 \n",
       "L 258.400977 184.757221 \n",
       "L 262.2382 189.419109 \n",
       "L 266.075423 194.601114 \n",
       "L 273.749868 205.597445 \n",
       "L 279.505702 213.756409 \n",
       "L 285.261535 221.476185 \n",
       "L 289.098758 226.29753 \n",
       "L 292.935981 230.832483 \n",
       "L 296.773203 235.073965 \n",
       "L 300.610426 239.023859 \n",
       "L 304.447648 242.689969 \n",
       "L 308.284871 246.083851 \n",
       "L 312.122093 249.219306 \n",
       "L 315.959316 252.111314 \n",
       "L 319.796538 254.77532 \n",
       "L 323.633761 257.22674 \n",
       "L 327.470984 259.480636 \n",
       "L 331.308206 261.551506 \n",
       "L 337.06404 264.344628 \n",
       "L 342.819874 266.800148 \n",
       "L 348.575708 268.957344 \n",
       "L 354.331542 270.851489 \n",
       "L 360.087375 272.514057 \n",
       "L 365.843209 273.972991 \n",
       "L 373.517654 275.643769 \n",
       "L 381.192099 277.046816 \n",
       "L 388.866545 278.224855 \n",
       "L 398.459601 279.435167 \n",
       "L 408.052657 280.40739 \n",
       "L 419.564325 281.324384 \n",
       "L 432.994604 282.127862 \n",
       "L 436.831827 282.315025 \n",
       "L 436.831827 282.315025 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke: #d62728; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_44\">\n",
       "    <path d=\"M 53.10957 117.624682 \n",
       "L 436.831827 117.624682 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1,1.65; stroke-dashoffset: 0; stroke: #d62728\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_45\">\n",
       "    <path d=\"M 53.10957 280.761292 \n",
       "L 66.539849 279.935081 \n",
       "L 78.051517 278.999683 \n",
       "L 87.644573 278.012732 \n",
       "L 97.23763 276.787833 \n",
       "L 104.912075 275.597673 \n",
       "L 112.58652 274.181286 \n",
       "L 120.260965 272.494689 \n",
       "L 126.016799 271.021101 \n",
       "L 131.772633 269.340152 \n",
       "L 137.528467 267.422187 \n",
       "L 143.284301 265.233354 \n",
       "L 149.040134 262.735082 \n",
       "L 152.877357 260.876232 \n",
       "L 156.71458 258.846061 \n",
       "L 160.551802 256.628917 \n",
       "L 164.389025 254.207847 \n",
       "L 168.226247 251.564536 \n",
       "L 172.06347 248.679278 \n",
       "L 175.900692 245.530968 \n",
       "L 179.737915 242.097159 \n",
       "L 183.575137 238.354208 \n",
       "L 187.41236 234.277565 \n",
       "L 191.249583 229.842292 \n",
       "L 195.086805 225.023935 \n",
       "L 198.924028 219.79996 \n",
       "L 202.76125 214.152072 \n",
       "L 206.598473 208.069891 \n",
       "L 210.435695 201.556722 \n",
       "L 214.272918 194.638448 \n",
       "L 220.028752 183.650922 \n",
       "L 227.703197 168.688868 \n",
       "L 231.540419 161.731585 \n",
       "L 233.459031 158.577564 \n",
       "L 235.377642 155.731969 \n",
       "L 237.296253 153.267736 \n",
       "L 239.214865 151.256049 \n",
       "L 241.133476 149.761023 \n",
       "L 243.052087 148.833978 \n",
       "L 244.970698 148.508222 \n",
       "L 246.88931 148.79537 \n",
       "L 248.807921 149.684019 \n",
       "L 250.726532 151.141069 \n",
       "L 252.645144 153.115409 \n",
       "L 254.563755 155.543124 \n",
       "L 256.482366 158.353225 \n",
       "L 258.400977 161.472964 \n",
       "L 262.2382 168.366021 \n",
       "L 267.994034 179.482487 \n",
       "L 273.749868 190.574499 \n",
       "L 277.58709 197.643885 \n",
       "L 281.424313 204.343365 \n",
       "L 285.261535 210.631281 \n",
       "L 289.098758 216.494348 \n",
       "L 292.935981 221.936747 \n",
       "L 296.773203 226.972971 \n",
       "L 300.610426 231.62324 \n",
       "L 304.447648 235.9106 \n",
       "L 308.284871 239.859132 \n",
       "L 312.122093 243.492851 \n",
       "L 315.959316 246.83506 \n",
       "L 319.796538 249.90798 \n",
       "L 323.633761 252.732559 \n",
       "L 327.470984 255.328396 \n",
       "L 331.308206 257.713727 \n",
       "L 335.145429 259.905461 \n",
       "L 338.982651 261.919227 \n",
       "L 344.738485 264.637427 \n",
       "L 350.494319 267.031366 \n",
       "L 356.250153 269.139856 \n",
       "L 362.005987 270.9971 \n",
       "L 367.76182 272.633203 \n",
       "L 373.517654 274.07465 \n",
       "L 381.192099 275.733616 \n",
       "L 388.866545 277.135156 \n",
       "L 396.54099 278.319301 \n",
       "L 406.134046 279.544577 \n",
       "L 415.727103 280.536754 \n",
       "L 427.23877 281.480769 \n",
       "L 436.831827 282.102632 \n",
       "L 436.831827 282.102632 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke: #9467bd; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_46\">\n",
       "    <path d=\"M 53.10957 37.454128 \n",
       "L 436.831827 37.454128 \n",
       "\" clip-path=\"url(#p25742bfd8a)\" style=\"fill: none; stroke-dasharray: 1,1.65; stroke-dashoffset: 0; stroke: #9467bd\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 53.10957 294.79082 \n",
       "L 53.10957 25.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 436.831827 294.79082 \n",
       "L 436.831827 25.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 53.10957 294.79082 \n",
       "L 436.831827 294.79082 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 53.10957 25.2 \n",
       "L 436.831827 25.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"text_21\">\n",
       "    <!-- Solid: VACASK hbac; dotted: single-mode peak gain -->\n",
       "    <g transform=\"translate(103.720386 19.2) scale(0.12 -0.12)\">\n",
       "     <defs>\n",
       "      <path id=\"Outfit-Bold-50\" d=\"M 1792 -70 \n",
       "Q 1235 -70 832 109 \n",
       "Q 429 288 102 666 \n",
       "L 755 1312 \n",
       "Q 973 1056 1235 921 \n",
       "Q 1498 787 1856 787 \n",
       "Q 2176 787 2352 902 \n",
       "Q 2528 1018 2528 1222 \n",
       "Q 2528 1434 2374 1562 \n",
       "Q 2221 1690 1981 1776 \n",
       "Q 1741 1862 1469 1961 \n",
       "Q 1197 2061 953 2211 \n",
       "Q 710 2362 560 2611 \n",
       "Q 410 2861 410 3258 \n",
       "Q 410 3674 611 3971 \n",
       "Q 813 4269 1171 4429 \n",
       "Q 1530 4589 1997 4589 \n",
       "Q 2470 4589 2864 4419 \n",
       "Q 3258 4250 3514 3968 \n",
       "L 2861 3322 \n",
       "Q 2656 3533 2448 3635 \n",
       "Q 2240 3738 1978 3738 \n",
       "Q 1709 3738 1558 3638 \n",
       "Q 1408 3539 1408 3354 \n",
       "Q 1408 3155 1558 3040 \n",
       "Q 1709 2925 1952 2838 \n",
       "Q 2195 2752 2467 2653 \n",
       "Q 2739 2554 2979 2397 \n",
       "Q 3219 2240 3372 1981 \n",
       "Q 3526 1722 3526 1312 \n",
       "Q 3526 659 3065 294 \n",
       "Q 2605 -70 1792 -70 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-b6\" d=\"M 1843 -70 \n",
       "Q 1363 -70 976 144 \n",
       "Q 589 358 365 729 \n",
       "Q 141 1101 141 1562 \n",
       "Q 141 2022 365 2387 \n",
       "Q 589 2752 973 2966 \n",
       "Q 1357 3181 1843 3181 \n",
       "Q 2323 3181 2710 2969 \n",
       "Q 3098 2758 3322 2390 \n",
       "Q 3546 2022 3546 1562 \n",
       "Q 3546 1101 3322 729 \n",
       "Q 3098 358 2714 144 \n",
       "Q 2330 -70 1843 -70 \n",
       "z\n",
       "M 1843 819 \n",
       "Q 2157 819 2352 1024 \n",
       "Q 2547 1229 2547 1562 \n",
       "Q 2547 1888 2348 2089 \n",
       "Q 2150 2291 1843 2291 \n",
       "Q 1530 2291 1334 2086 \n",
       "Q 1139 1882 1139 1555 \n",
       "Q 1139 1229 1334 1024 \n",
       "Q 1530 819 1843 819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-aa\" d=\"M 346 0 \n",
       "L 346 4646 \n",
       "L 1325 4646 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-9c\" d=\"M 838 3539 \n",
       "Q 608 3539 457 3696 \n",
       "Q 307 3853 307 4077 \n",
       "Q 307 4301 457 4457 \n",
       "Q 608 4614 838 4614 \n",
       "Q 1069 4614 1216 4457 \n",
       "Q 1363 4301 1363 4077 \n",
       "Q 1363 3853 1216 3696 \n",
       "Q 1069 3539 838 3539 \n",
       "z\n",
       "M 346 0 \n",
       "L 346 3110 \n",
       "L 1325 3110 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-88\" d=\"M 1670 -64 \n",
       "Q 1229 -64 886 147 \n",
       "Q 544 358 349 723 \n",
       "Q 154 1088 154 1555 \n",
       "Q 154 2016 349 2384 \n",
       "Q 544 2752 886 2963 \n",
       "Q 1229 3174 1670 3174 \n",
       "Q 1907 3174 2115 3104 \n",
       "Q 2323 3034 2483 2912 \n",
       "L 2483 4646 \n",
       "L 3462 4646 \n",
       "L 3462 0 \n",
       "L 2502 0 \n",
       "L 2502 224 \n",
       "Q 2336 90 2125 13 \n",
       "Q 1914 -64 1670 -64 \n",
       "z\n",
       "M 1843 819 \n",
       "Q 2157 819 2349 1024 \n",
       "Q 2541 1229 2541 1555 \n",
       "Q 2541 1882 2349 2086 \n",
       "Q 2157 2291 1850 2291 \n",
       "Q 1542 2291 1344 2083 \n",
       "Q 1146 1875 1146 1555 \n",
       "Q 1146 1229 1341 1024 \n",
       "Q 1536 819 1843 819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-133\" d=\"M 928 1824 \n",
       "Q 672 1824 509 1993 \n",
       "Q 346 2163 346 2413 \n",
       "Q 346 2662 509 2835 \n",
       "Q 672 3008 928 3008 \n",
       "Q 1178 3008 1344 2835 \n",
       "Q 1510 2662 1510 2413 \n",
       "Q 1510 2163 1344 1993 \n",
       "Q 1178 1824 928 1824 \n",
       "z\n",
       "M 928 -70 \n",
       "Q 672 -70 509 99 \n",
       "Q 346 269 346 518 \n",
       "Q 346 768 509 941 \n",
       "Q 672 1114 928 1114 \n",
       "Q 1178 1114 1344 941 \n",
       "Q 1510 768 1510 518 \n",
       "Q 1510 269 1344 99 \n",
       "Q 1178 -70 928 -70 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-12f\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-63\" d=\"M 1843 0 \n",
       "L 102 4518 \n",
       "L 1178 4518 \n",
       "L 2285 1472 \n",
       "L 3405 4518 \n",
       "L 4467 4518 \n",
       "L 2707 0 \n",
       "L 1843 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-1\" d=\"M 96 0 \n",
       "L 1888 4518 \n",
       "L 2797 4518 \n",
       "L 4570 0 \n",
       "L 3507 0 \n",
       "L 3206 819 \n",
       "L 1440 819 \n",
       "L 1139 0 \n",
       "L 96 0 \n",
       "z\n",
       "M 1741 1638 \n",
       "L 2912 1638 \n",
       "L 2330 3251 \n",
       "L 1741 1638 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-e\" d=\"M 2579 -70 \n",
       "Q 2067 -70 1635 106 \n",
       "Q 1203 282 883 598 \n",
       "Q 563 915 384 1340 \n",
       "Q 205 1766 205 2266 \n",
       "Q 205 2758 384 3180 \n",
       "Q 563 3603 883 3920 \n",
       "Q 1203 4237 1632 4413 \n",
       "Q 2061 4589 2573 4589 \n",
       "Q 3110 4589 3529 4416 \n",
       "Q 3949 4243 4262 3942 \n",
       "L 3590 3264 \n",
       "Q 3411 3456 3158 3565 \n",
       "Q 2906 3674 2573 3674 \n",
       "Q 2176 3674 1875 3498 \n",
       "Q 1574 3322 1404 3005 \n",
       "Q 1235 2688 1235 2266 \n",
       "Q 1235 1837 1404 1517 \n",
       "Q 1574 1197 1875 1021 \n",
       "Q 2176 845 2573 845 \n",
       "Q 2918 845 3174 953 \n",
       "Q 3430 1062 3616 1254 \n",
       "L 4294 576 \n",
       "Q 3968 275 3549 102 \n",
       "Q 3130 -70 2579 -70 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-31\" d=\"M 435 0 \n",
       "L 435 4518 \n",
       "L 1440 4518 \n",
       "L 1440 2483 \n",
       "L 3110 4518 \n",
       "L 4352 4518 \n",
       "L 2522 2368 \n",
       "L 4416 0 \n",
       "L 3168 0 \n",
       "L 1440 2221 \n",
       "L 1440 0 \n",
       "L 435 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-9a\" d=\"M 346 0 \n",
       "L 346 4646 \n",
       "L 1325 4646 \n",
       "L 1325 2880 \n",
       "Q 1658 3174 2163 3174 \n",
       "Q 2522 3174 2797 3024 \n",
       "Q 3072 2874 3225 2605 \n",
       "Q 3379 2336 3379 1990 \n",
       "L 3379 0 \n",
       "L 2400 0 \n",
       "L 2400 1773 \n",
       "Q 2400 2016 2249 2166 \n",
       "Q 2099 2317 1869 2317 \n",
       "Q 1632 2317 1478 2166 \n",
       "Q 1325 2016 1325 1773 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-82\" d=\"M 346 0 \n",
       "L 346 4646 \n",
       "L 1325 4646 \n",
       "L 1325 2912 \n",
       "Q 1485 3034 1693 3104 \n",
       "Q 1901 3174 2138 3174 \n",
       "Q 2579 3174 2921 2963 \n",
       "Q 3264 2752 3459 2384 \n",
       "Q 3654 2016 3654 1555 \n",
       "Q 3654 1088 3459 723 \n",
       "Q 3264 358 2921 147 \n",
       "Q 2579 -64 2138 -64 \n",
       "Q 1894 -64 1683 13 \n",
       "Q 1472 90 1312 224 \n",
       "L 1312 0 \n",
       "L 346 0 \n",
       "z\n",
       "M 1965 819 \n",
       "Q 2272 819 2467 1024 \n",
       "Q 2662 1229 2662 1555 \n",
       "Q 2662 1875 2467 2083 \n",
       "Q 2272 2291 1965 2291 \n",
       "Q 1651 2291 1459 2086 \n",
       "Q 1267 1882 1267 1555 \n",
       "Q 1267 1229 1459 1024 \n",
       "Q 1651 819 1965 819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-76\" d=\"M 1645 -64 \n",
       "Q 1216 -64 880 147 \n",
       "Q 544 358 349 723 \n",
       "Q 154 1088 154 1555 \n",
       "Q 154 2016 349 2384 \n",
       "Q 544 2752 880 2963 \n",
       "Q 1216 3174 1645 3174 \n",
       "Q 1901 3174 2121 3088 \n",
       "Q 2342 3002 2502 2854 \n",
       "L 2502 3110 \n",
       "L 3462 3110 \n",
       "L 3462 0 \n",
       "L 2502 0 \n",
       "L 2502 256 \n",
       "Q 2342 102 2121 19 \n",
       "Q 1901 -64 1645 -64 \n",
       "z\n",
       "M 1843 819 \n",
       "Q 2157 819 2349 1024 \n",
       "Q 2541 1229 2541 1555 \n",
       "Q 2541 1882 2349 2086 \n",
       "Q 2157 2291 1850 2291 \n",
       "Q 1542 2291 1344 2083 \n",
       "Q 1146 1875 1146 1555 \n",
       "Q 1146 1229 1341 1024 \n",
       "Q 1536 819 1843 819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-83\" d=\"M 1850 -70 \n",
       "Q 1363 -70 976 141 \n",
       "Q 589 352 365 720 \n",
       "Q 141 1088 141 1555 \n",
       "Q 141 2016 368 2384 \n",
       "Q 595 2752 982 2966 \n",
       "Q 1370 3181 1862 3181 \n",
       "Q 2592 3181 3072 2682 \n",
       "L 2445 2054 \n",
       "Q 2227 2291 1862 2291 \n",
       "Q 1549 2291 1344 2089 \n",
       "Q 1139 1888 1139 1562 \n",
       "Q 1139 1229 1344 1024 \n",
       "Q 1549 819 1862 819 \n",
       "Q 2240 819 2464 1075 \n",
       "L 3085 448 \n",
       "Q 2586 -70 1850 -70 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-134\" d=\"M 909 1824 \n",
       "Q 653 1824 489 1993 \n",
       "Q 326 2163 326 2413 \n",
       "Q 326 2662 489 2835 \n",
       "Q 653 3008 909 3008 \n",
       "Q 1158 3008 1321 2835 \n",
       "Q 1485 2662 1485 2413 \n",
       "Q 1485 2163 1321 1993 \n",
       "Q 1158 1824 909 1824 \n",
       "z\n",
       "M 320 -768 \n",
       "L 723 -26 \n",
       "Q 563 13 448 157 \n",
       "Q 333 301 333 506 \n",
       "Q 333 755 502 934 \n",
       "Q 672 1114 922 1114 \n",
       "Q 1158 1114 1334 938 \n",
       "Q 1510 762 1510 506 \n",
       "Q 1510 403 1468 265 \n",
       "Q 1427 128 1312 -83 \n",
       "L 800 -1030 \n",
       "L 320 -768 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-10d\" d=\"M 787 0 \n",
       "L 787 2278 \n",
       "L 83 2278 \n",
       "L 83 3110 \n",
       "L 787 3110 \n",
       "L 787 4397 \n",
       "L 1766 4397 \n",
       "L 1766 3110 \n",
       "L 2758 3110 \n",
       "L 2758 4397 \n",
       "L 3738 4397 \n",
       "L 3738 3110 \n",
       "L 4442 3110 \n",
       "L 4442 2278 \n",
       "L 3738 2278 \n",
       "L 3738 0 \n",
       "L 2758 0 \n",
       "L 2758 2278 \n",
       "L 1766 2278 \n",
       "L 1766 0 \n",
       "L 787 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-8c\" d=\"M 1882 -70 \n",
       "Q 1376 -70 982 138 \n",
       "Q 589 346 365 714 \n",
       "Q 141 1082 141 1555 \n",
       "Q 141 2022 361 2387 \n",
       "Q 582 2752 960 2966 \n",
       "Q 1338 3181 1811 3181 \n",
       "Q 2266 3181 2621 2979 \n",
       "Q 2976 2778 3177 2429 \n",
       "Q 3379 2080 3379 1626 \n",
       "Q 3379 1453 3334 1235 \n",
       "L 1107 1229 \n",
       "Q 1184 966 1382 825 \n",
       "Q 1581 685 1875 685 \n",
       "Q 2342 685 2618 1005 \n",
       "L 3155 467 \n",
       "Q 2925 198 2598 64 \n",
       "Q 2272 -70 1882 -70 \n",
       "z\n",
       "M 1818 2432 \n",
       "Q 1549 2432 1363 2291 \n",
       "Q 1178 2150 1107 1901 \n",
       "L 2464 1907 \n",
       "Q 2342 2432 1818 2432 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-c7\" d=\"M 1478 -77 \n",
       "Q 1062 -77 678 76 \n",
       "Q 294 230 58 499 \n",
       "L 614 1062 \n",
       "Q 934 710 1440 710 \n",
       "Q 1798 710 1798 902 \n",
       "Q 1798 1018 1686 1078 \n",
       "Q 1574 1139 1401 1184 \n",
       "Q 1229 1229 1037 1289 \n",
       "Q 845 1350 672 1452 \n",
       "Q 499 1555 390 1734 \n",
       "Q 282 1914 282 2202 \n",
       "Q 282 2643 618 2921 \n",
       "Q 954 3200 1530 3200 \n",
       "Q 1926 3200 2262 3062 \n",
       "Q 2598 2925 2810 2656 \n",
       "L 2253 2093 \n",
       "Q 2106 2266 1923 2336 \n",
       "Q 1741 2406 1568 2406 \n",
       "Q 1235 2406 1235 2221 \n",
       "Q 1235 2118 1344 2064 \n",
       "Q 1453 2010 1625 1962 \n",
       "Q 1798 1914 1990 1853 \n",
       "Q 2182 1792 2352 1683 \n",
       "Q 2522 1574 2634 1388 \n",
       "Q 2746 1203 2746 915 \n",
       "Q 2746 454 2403 188 \n",
       "Q 2061 -77 1478 -77 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-b0\" d=\"M 346 0 \n",
       "L 346 3110 \n",
       "L 1325 3110 \n",
       "L 1325 2861 \n",
       "Q 1670 3174 2195 3174 \n",
       "Q 2534 3174 2803 3011 \n",
       "Q 3072 2848 3225 2579 \n",
       "Q 3379 2310 3379 1990 \n",
       "L 3379 0 \n",
       "L 2400 0 \n",
       "L 2400 1773 \n",
       "Q 2400 2016 2249 2166 \n",
       "Q 2099 2317 1869 2317 \n",
       "Q 1632 2317 1478 2166 \n",
       "Q 1325 2016 1325 1773 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-96\" d=\"M 1619 96 \n",
       "Q 1190 96 857 301 \n",
       "Q 525 506 333 854 \n",
       "Q 141 1203 141 1638 \n",
       "Q 141 2074 333 2419 \n",
       "Q 525 2765 857 2969 \n",
       "Q 1190 3174 1619 3174 \n",
       "Q 1856 3174 2064 3104 \n",
       "Q 2272 3034 2432 2899 \n",
       "L 2432 3110 \n",
       "L 3392 3110 \n",
       "L 3392 186 \n",
       "Q 3392 -294 3168 -649 \n",
       "Q 2944 -1005 2553 -1200 \n",
       "Q 2163 -1395 1664 -1395 \n",
       "Q 1152 -1395 765 -1219 \n",
       "Q 378 -1043 154 -723 \n",
       "L 755 -122 \n",
       "Q 922 -320 1130 -422 \n",
       "Q 1338 -525 1632 -525 \n",
       "Q 1997 -525 2205 -345 \n",
       "Q 2413 -166 2413 160 \n",
       "L 2413 358 \n",
       "Q 2259 237 2054 166 \n",
       "Q 1850 96 1619 96 \n",
       "z\n",
       "M 1805 966 \n",
       "Q 2112 966 2291 1158 \n",
       "Q 2470 1350 2470 1638 \n",
       "Q 2470 1926 2291 2121 \n",
       "Q 2112 2317 1805 2317 \n",
       "Q 1498 2317 1315 2118 \n",
       "Q 1133 1920 1133 1638 \n",
       "Q 1133 1363 1315 1164 \n",
       "Q 1498 966 1805 966 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-140\" d=\"M 346 1203 \n",
       "L 346 2061 \n",
       "L 2611 2061 \n",
       "L 2611 1203 \n",
       "L 346 1203 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-af\" d=\"M 346 0 \n",
       "L 346 3110 \n",
       "L 1325 3110 \n",
       "L 1325 2880 \n",
       "Q 1658 3174 2163 3174 \n",
       "Q 2739 3174 3072 2752 \n",
       "Q 3437 3174 4064 3174 \n",
       "Q 4416 3174 4697 3024 \n",
       "Q 4979 2874 5142 2595 \n",
       "Q 5306 2317 5306 1926 \n",
       "L 5306 0 \n",
       "L 4326 0 \n",
       "L 4326 1818 \n",
       "Q 4326 2048 4182 2182 \n",
       "Q 4038 2317 3827 2317 \n",
       "Q 3603 2317 3459 2182 \n",
       "Q 3315 2048 3315 1818 \n",
       "L 3315 0 \n",
       "L 2336 0 \n",
       "L 2336 1818 \n",
       "Q 2336 2048 2192 2182 \n",
       "Q 2048 2317 1837 2317 \n",
       "Q 1613 2317 1469 2182 \n",
       "Q 1325 2048 1325 1818 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-c0\" d=\"M 346 -1312 \n",
       "L 346 3110 \n",
       "L 1325 3110 \n",
       "L 1325 2893 \n",
       "Q 1485 3027 1693 3100 \n",
       "Q 1901 3174 2138 3174 \n",
       "Q 2579 3174 2921 2963 \n",
       "Q 3264 2752 3459 2384 \n",
       "Q 3654 2016 3654 1555 \n",
       "Q 3654 1088 3459 723 \n",
       "Q 3264 358 2921 147 \n",
       "Q 2579 -64 2138 -64 \n",
       "Q 1894 -64 1683 9 \n",
       "Q 1472 83 1312 211 \n",
       "L 1312 -1312 \n",
       "L 346 -1312 \n",
       "z\n",
       "M 1965 819 \n",
       "Q 2272 819 2467 1027 \n",
       "Q 2662 1235 2662 1555 \n",
       "Q 2662 1882 2467 2086 \n",
       "Q 2272 2291 1965 2291 \n",
       "Q 1651 2291 1459 2086 \n",
       "Q 1267 1882 1267 1555 \n",
       "Q 1267 1229 1459 1024 \n",
       "Q 1651 819 1965 819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"Outfit-Bold-a8\" d=\"M 346 0 \n",
       "L 346 4646 \n",
       "L 1325 4646 \n",
       "L 1325 1722 \n",
       "L 2330 3110 \n",
       "L 3424 3110 \n",
       "L 2285 1645 \n",
       "L 3488 0 \n",
       "L 2336 0 \n",
       "L 1325 1498 \n",
       "L 1325 0 \n",
       "L 346 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#Outfit-Bold-50\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-b6\" transform=\"translate(58 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-aa\" transform=\"translate(115.59375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-9c\" transform=\"translate(141.6875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-88\" transform=\"translate(167.78125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-133\" transform=\"translate(227.28125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-12f\" transform=\"translate(256.28125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-63\" transform=\"translate(275.28125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-1\" transform=\"translate(337.578125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-e\" transform=\"translate(405.890625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-1\" transform=\"translate(473 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-50\" transform=\"translate(543.8125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-31\" transform=\"translate(602.109375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-12f\" transform=\"translate(669.8125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-9a\" transform=\"translate(688.8125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-82\" transform=\"translate(746.015625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-76\" transform=\"translate(805.515625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-83\" transform=\"translate(865.015625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-134\" transform=\"translate(914.609375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-12f\" transform=\"translate(942.609375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-88\" transform=\"translate(961.609375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-b6\" transform=\"translate(1021.109375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-10d\" transform=\"translate(1078.703125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-8c\" transform=\"translate(1148.40625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-88\" transform=\"translate(1203.203125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-133\" transform=\"translate(1262.703125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-12f\" transform=\"translate(1291.703125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-c7\" transform=\"translate(1310.703125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-9c\" transform=\"translate(1356.5 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-b0\" transform=\"translate(1382.59375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-96\" transform=\"translate(1439.796875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-aa\" transform=\"translate(1498.203125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-8c\" transform=\"translate(1524.296875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-140\" transform=\"translate(1581.1875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-af\" transform=\"translate(1627.390625 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-b6\" transform=\"translate(1714.6875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-88\" transform=\"translate(1772.28125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-8c\" transform=\"translate(1831.78125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-12f\" transform=\"translate(1886.578125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-c0\" transform=\"translate(1905.578125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-8c\" transform=\"translate(1965.078125 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-76\" transform=\"translate(2019.875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-a8\" transform=\"translate(2079.375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-12f\" transform=\"translate(2133.96875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-96\" transform=\"translate(2152.96875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-76\" transform=\"translate(2211.375 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-9c\" transform=\"translate(2270.875 0)\"/>\n",
       "     <use xlink:href=\"#Outfit-Bold-b0\" transform=\"translate(2296.96875 0)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"text_22\">\n",
       "     <!-- $\\Phi_\\text{p}$ / threshold -->\n",
       "     <g transform=\"translate(362.931827 42.3875) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"FiraMath-Regular-176\" d=\"M 2874 883 \n",
       "L 2874 3507 \n",
       "C 3840 3469 4333 3021 4333 2221 \n",
       "C 4333 1357 3853 941 2874 883 \n",
       "z\n",
       "M 851 2208 \n",
       "C 851 3040 1331 3456 2310 3514 \n",
       "L 2310 890 \n",
       "C 1344 928 851 1376 851 2208 \n",
       "z\n",
       "M 4960 2221 \n",
       "C 4960 3226 4250 3904 2886 3962 \n",
       "L 2886 4410 \n",
       "L 2298 4410 \n",
       "L 2298 3962 \n",
       "C 1030 3930 224 3315 224 2208 \n",
       "C 224 1171 934 493 2298 435 \n",
       "L 2298 0 \n",
       "L 2886 0 \n",
       "L 2886 435 \n",
       "C 4154 467 4960 1082 4960 2221 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-51\" d=\"M 1939 403 \n",
       "C 1632 403 1370 550 1197 813 \n",
       "L 1197 2458 \n",
       "C 1376 2726 1651 2982 2010 2982 \n",
       "C 2515 2982 2771 2566 2771 1690 \n",
       "C 2771 806 2477 403 1939 403 \n",
       "z\n",
       "M 2157 3450 \n",
       "C 1773 3450 1408 3264 1158 2918 \n",
       "L 1114 3373 \n",
       "L 608 3373 \n",
       "L 608 -1363 \n",
       "L 1197 -1293 \n",
       "L 1197 307 \n",
       "C 1414 45 1715 -77 2080 -77 \n",
       "C 2950 -77 3405 666 3405 1690 \n",
       "C 3405 2752 3053 3450 2157 3450 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-5af\" d=\"M 2163 4875 \n",
       "L 663 -700 \n",
       "L 144 -700 \n",
       "L 1644 4875 \n",
       "L 2163 4875 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-29e\" d=\"M 1056 2094 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 4656 \n",
       "L 1056 4656 \n",
       "L 1056 2888 \n",
       "Q 1228 3238 1495 3388 \n",
       "Q 1763 3538 2106 3538 \n",
       "Q 2638 3538 2964 3209 \n",
       "Q 3291 2881 3291 2219 \n",
       "L 3291 0 \n",
       "L 2725 0 \n",
       "L 2725 2172 \n",
       "Q 2725 2575 2514 2803 \n",
       "Q 2303 3031 1938 3031 \n",
       "Q 1559 3031 1307 2786 \n",
       "Q 1056 2541 1056 2094 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-354\" d=\"M 494 0 \n",
       "L 494 3494 \n",
       "L 1038 3494 \n",
       "L 1038 2956 \n",
       "L 1075 2956 \n",
       "Q 1172 3222 1420 3383 \n",
       "Q 1669 3544 1981 3544 \n",
       "Q 2044 3544 2130 3541 \n",
       "Q 2216 3538 2266 3534 \n",
       "L 2266 2969 \n",
       "Q 2241 2975 2141 2987 \n",
       "Q 2041 3000 1928 3000 \n",
       "Q 1550 3000 1303 2770 \n",
       "Q 1056 2541 1056 2188 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-367\" d=\"M 1681 -75 \n",
       "Q 1144 -75 787 159 \n",
       "Q 431 394 338 847 \n",
       "L 872 975 \n",
       "Q 947 688 1155 553 \n",
       "Q 1363 419 1675 419 \n",
       "Q 2041 419 2258 575 \n",
       "Q 2475 731 2475 947 \n",
       "Q 2475 1306 1963 1428 \n",
       "L 1381 1566 \n",
       "Q 444 1788 444 2519 \n",
       "Q 444 2819 612 3048 \n",
       "Q 781 3278 1073 3408 \n",
       "Q 1366 3538 1738 3538 \n",
       "Q 2278 3538 2576 3302 \n",
       "Q 2875 3066 2994 2697 \n",
       "L 2484 2566 \n",
       "Q 2413 2753 2245 2906 \n",
       "Q 2078 3059 1741 3059 \n",
       "Q 1428 3059 1220 2915 \n",
       "Q 1013 2772 1013 2553 \n",
       "Q 1013 2359 1153 2242 \n",
       "Q 1294 2125 1600 2053 \n",
       "L 2128 1928 \n",
       "Q 2603 1816 2831 1580 \n",
       "Q 3059 1344 3059 984 \n",
       "Q 3059 678 2886 439 \n",
       "Q 2713 200 2402 62 \n",
       "Q 2091 -75 1681 -75 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-316\" d=\"M 1916 -75 \n",
       "Q 1441 -75 1083 150 \n",
       "Q 725 375 525 781 \n",
       "Q 325 1188 325 1725 \n",
       "Q 325 2272 525 2680 \n",
       "Q 725 3088 1083 3313 \n",
       "Q 1441 3538 1916 3538 \n",
       "Q 2394 3538 2753 3313 \n",
       "Q 3113 3088 3313 2680 \n",
       "Q 3513 2272 3513 1725 \n",
       "Q 3513 1188 3313 781 \n",
       "Q 3113 375 2753 150 \n",
       "Q 2394 -75 1916 -75 \n",
       "z\n",
       "M 1916 428 \n",
       "Q 2269 428 2497 609 \n",
       "Q 2725 791 2834 1086 \n",
       "Q 2944 1381 2944 1725 \n",
       "Q 2944 2072 2834 2370 \n",
       "Q 2725 2669 2497 2851 \n",
       "Q 2269 3034 1916 3034 \n",
       "Q 1566 3034 1341 2851 \n",
       "Q 1116 2669 1006 2372 \n",
       "Q 897 2075 897 1725 \n",
       "Q 897 1381 1006 1086 \n",
       "Q 1116 791 1341 609 \n",
       "Q 1566 428 1916 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#FiraMath-Regular-176\" transform=\"translate(0 0.828125)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-51\" transform=\"translate(81.922228 -14.982812) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(126.137348 0.828125)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5af\" transform=\"translate(154.262348 0.828125)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(190.297505 0.828125)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(218.422505 0.828125)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-29e\" transform=\"translate(251.137348 0.828125)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-354\" transform=\"translate(310.268208 0.828125)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(347.914692 0.828125)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-367\" transform=\"translate(406.215473 0.828125)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-29e\" transform=\"translate(458.998676 0.828125)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(518.129536 0.828125)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(578.090473 0.828125)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-255\" transform=\"translate(602.309223 0.828125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_47\">\n",
       "     <path d=\"M 374.59667 56.675 \n",
       "L 384.59667 56.675 \n",
       "L 394.59667 56.675 \n",
       "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "    </g>\n",
       "    <g id=\"text_23\">\n",
       "     <!-- 0.3 -->\n",
       "     <g transform=\"translate(402.59667 60.175) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-541\" d=\"M 1984 -63 \n",
       "Q 1528 -63 1175 93 \n",
       "Q 822 250 614 528 \n",
       "Q 406 806 391 1175 \n",
       "L 991 1175 \n",
       "Q 1016 844 1297 651 \n",
       "Q 1578 459 1975 459 \n",
       "Q 2413 459 2698 684 \n",
       "Q 2984 909 2984 1272 \n",
       "Q 2984 1650 2703 1889 \n",
       "Q 2422 2128 1903 2128 \n",
       "L 1525 2128 \n",
       "L 1525 2644 \n",
       "L 1903 2644 \n",
       "Q 2313 2644 2567 2861 \n",
       "Q 2822 3078 2822 3438 \n",
       "Q 2822 3784 2597 3993 \n",
       "Q 2372 4203 1991 4203 \n",
       "Q 1753 4203 1545 4117 \n",
       "Q 1338 4031 1205 3872 \n",
       "Q 1072 3713 1063 3484 \n",
       "L 491 3484 \n",
       "Q 503 3850 709 4128 \n",
       "Q 916 4406 1255 4562 \n",
       "Q 1594 4719 2003 4719 \n",
       "Q 2438 4719 2752 4544 \n",
       "Q 3066 4369 3234 4084 \n",
       "Q 3403 3800 3403 3469 \n",
       "Q 3403 3075 3195 2800 \n",
       "Q 2988 2525 2631 2419 \n",
       "L 2631 2381 \n",
       "Q 3078 2309 3325 2007 \n",
       "Q 3572 1706 3572 1266 \n",
       "Q 3572 884 3365 584 \n",
       "Q 3159 284 2800 110 \n",
       "Q 2441 -63 1984 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-53d\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(60.5625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-541\" transform=\"translate(86.6875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_48\">\n",
       "     <path d=\"M 374.59667 73.774609 \n",
       "L 384.59667 73.774609 \n",
       "L 394.59667 73.774609 \n",
       "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "    </g>\n",
       "    <g id=\"text_24\">\n",
       "     <!-- 0.5 -->\n",
       "     <g transform=\"translate(402.59667 77.274609) scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#Inter-Regular-53d\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(60.5625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(87.953125 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_49\">\n",
       "     <path d=\"M 374.59667 90.874219 \n",
       "L 384.59667 90.874219 \n",
       "L 394.59667 90.874219 \n",
       "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "    </g>\n",
       "    <g id=\"text_25\">\n",
       "     <!-- 0.7 -->\n",
       "     <g transform=\"translate(402.59667 94.374219) scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#Inter-Regular-53d\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(60.5625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(87.953125 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_50\">\n",
       "     <path d=\"M 374.59667 107.973828 \n",
       "L 384.59667 107.973828 \n",
       "L 394.59667 107.973828 \n",
       "\" style=\"fill: none; stroke: #d62728; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "    </g>\n",
       "    <g id=\"text_26\">\n",
       "     <!-- 0.8 -->\n",
       "     <g transform=\"translate(402.59667 111.473828) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-547\" d=\"M 1978 -63 \n",
       "Q 1506 -63 1145 104 \n",
       "Q 784 272 582 565 \n",
       "Q 381 859 381 1238 \n",
       "Q 381 1531 500 1782 \n",
       "Q 619 2034 825 2203 \n",
       "Q 1031 2372 1291 2419 \n",
       "L 1291 2444 \n",
       "Q 950 2531 750 2822 \n",
       "Q 550 3113 550 3481 \n",
       "Q 550 3838 734 4117 \n",
       "Q 919 4397 1241 4558 \n",
       "Q 1563 4719 1978 4719 \n",
       "Q 2388 4719 2709 4558 \n",
       "Q 3031 4397 3217 4117 \n",
       "Q 3403 3838 3403 3481 \n",
       "Q 3403 3113 3201 2822 \n",
       "Q 3000 2531 2669 2444 \n",
       "L 2669 2419 \n",
       "Q 2922 2372 3128 2203 \n",
       "Q 3334 2034 3456 1782 \n",
       "Q 3578 1531 3578 1238 \n",
       "Q 3578 859 3373 565 \n",
       "Q 3169 272 2808 104 \n",
       "Q 2447 -63 1978 -63 \n",
       "z\n",
       "M 1978 453 \n",
       "Q 2441 453 2712 676 \n",
       "Q 2984 900 2984 1269 \n",
       "Q 2984 1528 2853 1726 \n",
       "Q 2722 1925 2494 2039 \n",
       "Q 2266 2153 1978 2153 \n",
       "Q 1538 2153 1252 1904 \n",
       "Q 966 1656 966 1269 \n",
       "Q 966 900 1236 676 \n",
       "Q 1506 453 1978 453 \n",
       "z\n",
       "M 1978 2650 \n",
       "Q 2347 2650 2587 2867 \n",
       "Q 2828 3084 2828 3438 \n",
       "Q 2828 3788 2593 3997 \n",
       "Q 2359 4206 1978 4206 \n",
       "Q 1591 4206 1358 3997 \n",
       "Q 1125 3788 1125 3438 \n",
       "Q 1125 3084 1362 2867 \n",
       "Q 1600 2650 1978 2650 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-53d\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(60.5625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(87.125 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_51\">\n",
       "     <path d=\"M 374.59667 125.073437 \n",
       "L 384.59667 125.073437 \n",
       "L 394.59667 125.073437 \n",
       "\" style=\"fill: none; stroke: #9467bd; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "    </g>\n",
       "    <g id=\"text_27\">\n",
       "     <!-- 0.9 -->\n",
       "     <g transform=\"translate(402.59667 128.573437) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-548\" d=\"M 1884 -63 \n",
       "Q 1488 -63 1178 93 \n",
       "Q 869 250 672 531 \n",
       "Q 475 813 419 1184 \n",
       "L 1006 1184 \n",
       "Q 1078 875 1297 669 \n",
       "Q 1516 463 1884 463 \n",
       "Q 2416 463 2723 927 \n",
       "Q 3031 1391 3031 2238 \n",
       "L 2994 2238 \n",
       "Q 2806 1953 2509 1784 \n",
       "Q 2213 1616 1847 1616 \n",
       "Q 1447 1616 1112 1814 \n",
       "Q 778 2013 579 2361 \n",
       "Q 381 2709 381 3156 \n",
       "Q 381 3591 578 3948 \n",
       "Q 775 4306 1129 4517 \n",
       "Q 1484 4728 1963 4719 \n",
       "Q 2250 4716 2537 4608 \n",
       "Q 2825 4500 3062 4253 \n",
       "Q 3300 4006 3444 3581 \n",
       "Q 3588 3156 3588 2513 \n",
       "Q 3588 1278 3131 607 \n",
       "Q 2675 -63 1884 -63 \n",
       "z\n",
       "M 1934 2134 \n",
       "Q 2219 2134 2447 2279 \n",
       "Q 2675 2425 2811 2662 \n",
       "Q 2947 2900 2947 3172 \n",
       "Q 2947 3441 2817 3673 \n",
       "Q 2688 3906 2464 4051 \n",
       "Q 2241 4197 1953 4197 \n",
       "Q 1672 4197 1448 4058 \n",
       "Q 1225 3919 1094 3683 \n",
       "Q 963 3447 963 3159 \n",
       "Q 963 2875 1089 2642 \n",
       "Q 1216 2409 1434 2271 \n",
       "Q 1653 2134 1934 2134 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-53d\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(60.5625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-548\" transform=\"translate(88.6875 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p25742bfd8a\">\n",
       "   <rect x=\"53.10957\" y=\"25.2\" width=\"383.722256\" height=\"269.59082\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "F_PUMP_CPW = 2 * F0\n",
    "ratios = jnp.array([0.3, 0.5, 0.7, 0.8, 0.9])\n",
    "# The 1.0013 keeps the 200-point grid off the degenerate point f_s = F0.\n",
    "plot = vacask.run(\n",
    "    cpw_jpa_netlist(\n",
    "        f\"\"\"\n",
    "        sweep pump instance=\"vfl\" parameter=\"ampl\" \\\\\n",
    "            values={format_value(ratios * PUMP_THRESHOLD)}\n",
    "        analysis hbac1 hbac freq=[{F_PUMP_CPW}] nharm=5 outspur={{[0],[-1]}} \\\\\n",
    "            from={F0 - 1.0013 * KAPPA} to={F0 + 1.0013 * KAPPA} mode=\"lin\" points=200\n",
    "        \"\"\",\n",
    "        f_pump=F_PUMP_CPW,\n",
    "    )\n",
    ")[\"hbac1\"]\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "for group, r in zip(plot.split(\"pump\"), ratios, strict=True):\n",
    "    detuning = (jnp.asarray(group[\"frequency\"].real) - F0) / KAPPA\n",
    "    gain = db(reflection(group[\"in;0\"], I_SIG))\n",
    "    idler = db(conversion(group[\"in;-1\"], I_SIG))\n",
    "    k = jnp.argmin(jnp.abs(detuning))\n",
    "    analytic = 20 * jnp.log10((1 + r**2) / (1 - r**2))\n",
    "    print(\n",
    "        f\"r = {r:.1f}: peak gain {gain.max():5.2f} dB (single-mode {analytic:5.2f} dB), \"\n",
    "        f\"|S_ss|² - |S_is|² = {10 ** (gain[k] / 10) - 10 ** (idler[k] / 10):.3f}\"\n",
    "    )\n",
    "    (line,) = ax.plot(detuning, gain, label=f\"{r:.1f}\")\n",
    "    ax.axhline(float(analytic), color=line.get_color(), ls=\":\", lw=1)\n",
    "ax.set_xlabel(r\"Signal detuning $(f_\\text{s} - f_0)/(\\kappa/2\\pi)$\")\n",
    "ax.set_ylabel(\"Signal gain (dB)\")\n",
    "ax.legend(title=r\"$\\Phi_\\text{p}$ / threshold\")\n",
    "ax.set_title(\"Solid: VACASK hbac; dotted: single-mode peak gain\")\n",
    "show_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d317b2fa",
   "metadata": {},
   "source": [
    "The CPW JPA gives less gain than Eq. {eq}`eq:vacask-3wm-gain`, and the\n",
    "two-mode balance $|S_\\text{ss}|^2-|S_\\text{is}|^2$ falls below 1. Photons\n",
    "leave through other sidebands. A quarter-wave line has modes near\n",
    "$(2n+1)f_0$, spaced by $2f_0=f_\\text{p}$. Every sideband\n",
    "$|f_\\text{s}+k f_\\text{p}|$ then lands near a mode. For $k=+1$ and $k=-2$ that\n",
    "is the $3\\lambda/4$ mode, and for $k=+2$ and $k=-3$ the $5\\lambda/4$ mode. The\n",
    "pump couples the signal to these modes by frequency conversion ($k>0$) and by\n",
    "further amplification ($k<0$). The SQUID's lumped inductance shifts the\n",
    "higher modes slightly away from the odd harmonics, which limits this\n",
    "conversion without removing it. A single-mode model cannot capture this.\n",
    "{cite:t}`wustmannNondegenerateParametricResonance2017` analyse such intermode\n",
    "processes.\n",
    "\n",
    "A lossless pumped circuit conserves photons. That is the Manley-Rowe relation\n",
    "{cite:p}`manleyGeneralPropertiesNonlinear1956`:\n",
    "\n",
    "```{math}\n",
    ":label: eq:vacask-manley-rowe\n",
    "\\sum_k \\operatorname{sign}(f_k)\\,|S_{k0}|^2\\,\\frac{f_\\text{s}}{|f_k|} = 1,\n",
    "\\qquad f_k = f_\\text{s} + k f_\\text{p}.\n",
    "```\n",
    "\n",
    "Negative-frequency sidebands enter with a minus sign because they are\n",
    "amplified, not converted {cite:p}`clerkIntroductionQuantumNoise2010`. The next\n",
    "cell locates the $3\\lambda/4$ mode and evaluates the sum over every sideband\n",
    "that `hbac` retains."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f0781fac",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:47.363371Z",
     "iopub.status.busy": "2026-10-21T07:06:47.363327Z",
     "iopub.status.idle": "2026-10-21T07:06:49.050978Z",
     "shell.execute_reply": "2026-10-21T07:06:49.050676Z"
    },
    "tags": [
     "hide-input",
     "cpw-photon-balance"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "modes between 12 and 22 GHz: 17.787 GHz\n",
      "f_s + f_p at f_s = f_0: 17.748 GHz\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r = 0.5: -3: -0.0003, -2: -0.0630, -1: -1.4071, +0: +2.1934, +1: +0.2758, +2: +0.0012; sum = 0.999998\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r = 0.9: -3: -0.0250, -2: -1.7248, -1: -11.8197, +0: +11.6938, +1: +2.8344, +2: +0.0412, +3: +0.0001; sum = 0.999997\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r = 0.9, nharm 5 -> 9: |ΔS_ss| = 1.3e-10\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"712.21332pt\" height=\"280.8pt\" viewBox=\"0 0 712.21332 280.8\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2026-10-21T10:06:48.966320</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.11.1, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 280.8 \n",
       "L 712.21332 280.8 \n",
       "L 712.21332 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 51.30957 237.19082 \n",
       "L 348.90666 237.19082 \n",
       "L 348.90666 7.2 \n",
       "L 51.30957 7.2 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path d=\"M 51.30957 237.19082 \n",
       "L 51.30957 7.2 \n",
       "\" clip-path=\"url(#p76f9e6684e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path id=\"mce4fcbd634\" d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"51.30957\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathdefault{12}$ -->\n",
       "      <g transform=\"translate(46.20957 253.87832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53e\" d=\"M 2041 4656 \n",
       "L 2041 0 \n",
       "L 1456 0 \n",
       "L 1456 4106 \n",
       "L 1425 4106 \n",
       "L 300 3272 \n",
       "L 300 3909 \n",
       "L 1313 4656 \n",
       "L 2041 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-53f\" d=\"M 481 0 \n",
       "L 481 428 \n",
       "L 2028 2106 \n",
       "Q 2288 2388 2459 2600 \n",
       "Q 2631 2813 2718 3005 \n",
       "Q 2806 3197 2806 3413 \n",
       "Q 2806 3778 2554 3990 \n",
       "Q 2303 4203 1931 4203 \n",
       "Q 1534 4203 1298 3965 \n",
       "Q 1063 3728 1063 3334 \n",
       "L 494 3334 \n",
       "Q 494 3747 684 4059 \n",
       "Q 875 4372 1203 4545 \n",
       "Q 1531 4719 1947 4719 \n",
       "Q 2363 4719 2683 4545 \n",
       "Q 3003 4372 3186 4078 \n",
       "Q 3369 3784 3369 3419 \n",
       "Q 3369 3166 3278 2927 \n",
       "Q 3188 2688 2959 2384 \n",
       "Q 2731 2081 2319 1644 \n",
       "L 1300 559 \n",
       "L 1300 522 \n",
       "L 3447 522 \n",
       "L 3447 0 \n",
       "L 481 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path d=\"M 110.828988 237.19082 \n",
       "L 110.828988 7.2 \n",
       "\" clip-path=\"url(#p76f9e6684e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"110.828988\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathdefault{14}$ -->\n",
       "      <g transform=\"translate(105.528988 253.87832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-542\" d=\"M 375 947 \n",
       "L 375 1431 \n",
       "L 2413 4656 \n",
       "L 3134 4656 \n",
       "L 3134 1469 \n",
       "L 3766 1469 \n",
       "L 3766 947 \n",
       "L 3134 947 \n",
       "L 3134 0 \n",
       "L 2566 0 \n",
       "L 2566 947 \n",
       "L 375 947 \n",
       "z\n",
       "M 2569 1469 \n",
       "L 2569 3913 \n",
       "L 2531 3913 \n",
       "L 1009 1506 \n",
       "L 1009 1469 \n",
       "L 2569 1469 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-542\" transform=\"translate(40.673828 0.25)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path d=\"M 170.348406 237.19082 \n",
       "L 170.348406 7.2 \n",
       "\" clip-path=\"url(#p76f9e6684e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"170.348406\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathdefault{16}$ -->\n",
       "      <g transform=\"translate(165.198406 253.87832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-545\" d=\"M 2019 -63 \n",
       "Q 1728 -63 1437 43 \n",
       "Q 1147 150 908 400 \n",
       "Q 669 650 525 1078 \n",
       "Q 381 1506 381 2150 \n",
       "Q 381 3378 840 4048 \n",
       "Q 1300 4719 2091 4719 \n",
       "Q 2481 4719 2790 4562 \n",
       "Q 3100 4406 3297 4128 \n",
       "Q 3494 3850 3550 3484 \n",
       "L 2969 3484 \n",
       "Q 2891 3788 2672 3991 \n",
       "Q 2453 4194 2091 4194 \n",
       "Q 1553 4194 1248 3730 \n",
       "Q 944 3266 944 2425 \n",
       "L 981 2425 \n",
       "Q 1169 2716 1467 2880 \n",
       "Q 1766 3044 2128 3044 \n",
       "Q 2528 3044 2859 2847 \n",
       "Q 3191 2650 3389 2301 \n",
       "Q 3588 1953 3588 1503 \n",
       "Q 3588 1069 3394 714 \n",
       "Q 3200 359 2847 148 \n",
       "Q 2494 -63 2019 -63 \n",
       "z\n",
       "M 2019 459 \n",
       "Q 2300 459 2525 600 \n",
       "Q 2750 741 2881 977 \n",
       "Q 3013 1213 3013 1503 \n",
       "Q 3013 1788 2886 2020 \n",
       "Q 2759 2253 2537 2390 \n",
       "Q 2316 2528 2034 2528 \n",
       "Q 1753 2528 1525 2384 \n",
       "Q 1297 2241 1162 2005 \n",
       "Q 1028 1769 1028 1497 \n",
       "Q 1028 1222 1156 986 \n",
       "Q 1284 750 1509 604 \n",
       "Q 1734 459 2019 459 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path d=\"M 229.867824 237.19082 \n",
       "L 229.867824 7.2 \n",
       "\" clip-path=\"url(#p76f9e6684e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"229.867824\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathdefault{18}$ -->\n",
       "      <g transform=\"translate(224.717824 253.87832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-547\" d=\"M 1978 -63 \n",
       "Q 1506 -63 1145 104 \n",
       "Q 784 272 582 565 \n",
       "Q 381 859 381 1238 \n",
       "Q 381 1531 500 1782 \n",
       "Q 619 2034 825 2203 \n",
       "Q 1031 2372 1291 2419 \n",
       "L 1291 2444 \n",
       "Q 950 2531 750 2822 \n",
       "Q 550 3113 550 3481 \n",
       "Q 550 3838 734 4117 \n",
       "Q 919 4397 1241 4558 \n",
       "Q 1563 4719 1978 4719 \n",
       "Q 2388 4719 2709 4558 \n",
       "Q 3031 4397 3217 4117 \n",
       "Q 3403 3838 3403 3481 \n",
       "Q 3403 3113 3201 2822 \n",
       "Q 3000 2531 2669 2444 \n",
       "L 2669 2419 \n",
       "Q 2922 2372 3128 2203 \n",
       "Q 3334 2034 3456 1782 \n",
       "Q 3578 1531 3578 1238 \n",
       "Q 3578 859 3373 565 \n",
       "Q 3169 272 2808 104 \n",
       "Q 2447 -63 1978 -63 \n",
       "z\n",
       "M 1978 453 \n",
       "Q 2441 453 2712 676 \n",
       "Q 2984 900 2984 1269 \n",
       "Q 2984 1528 2853 1726 \n",
       "Q 2722 1925 2494 2039 \n",
       "Q 2266 2153 1978 2153 \n",
       "Q 1538 2153 1252 1904 \n",
       "Q 966 1656 966 1269 \n",
       "Q 966 900 1236 676 \n",
       "Q 1506 453 1978 453 \n",
       "z\n",
       "M 1978 2650 \n",
       "Q 2347 2650 2587 2867 \n",
       "Q 2828 3084 2828 3438 \n",
       "Q 2828 3788 2593 3997 \n",
       "Q 2359 4206 1978 4206 \n",
       "Q 1591 4206 1358 3997 \n",
       "Q 1125 3788 1125 3438 \n",
       "Q 1125 3084 1362 2867 \n",
       "Q 1600 2650 1978 2650 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path d=\"M 289.387242 237.19082 \n",
       "L 289.387242 7.2 \n",
       "\" clip-path=\"url(#p76f9e6684e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"289.387242\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathdefault{20}$ -->\n",
       "      <g transform=\"translate(283.137242 253.87832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53d\" d=\"M 2019 -63 \n",
       "Q 1241 -63 811 562 \n",
       "Q 381 1188 381 2325 \n",
       "Q 381 3456 814 4087 \n",
       "Q 1247 4719 2019 4719 \n",
       "Q 2794 4719 3225 4087 \n",
       "Q 3656 3456 3656 2325 \n",
       "Q 3656 1188 3228 562 \n",
       "Q 2800 -63 2019 -63 \n",
       "z\n",
       "M 2019 456 \n",
       "Q 2531 456 2807 948 \n",
       "Q 3084 1441 3084 2325 \n",
       "Q 3084 3216 2807 3709 \n",
       "Q 2531 4203 2019 4203 \n",
       "Q 1509 4203 1231 3708 \n",
       "Q 953 3213 953 2325 \n",
       "Q 953 1441 1231 948 \n",
       "Q 1509 456 2019 456 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(60.986328 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path d=\"M 348.90666 237.19082 \n",
       "L 348.90666 7.2 \n",
       "\" clip-path=\"url(#p76f9e6684e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"348.90666\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathdefault{22}$ -->\n",
       "      <g transform=\"translate(342.80666 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(60.986328 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_7\">\n",
       "     <!-- Frequency (GHz) -->\n",
       "     <g transform=\"translate(155.849443 270.94668) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-89\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 3378 4656 \n",
       "L 3378 4131 \n",
       "L 1156 4131 \n",
       "L 1156 2538 \n",
       "L 3166 2538 \n",
       "L 3166 2013 \n",
       "L 1156 2013 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-354\" d=\"M 494 0 \n",
       "L 494 3494 \n",
       "L 1038 3494 \n",
       "L 1038 2956 \n",
       "L 1075 2956 \n",
       "Q 1172 3222 1420 3383 \n",
       "Q 1669 3544 1981 3544 \n",
       "Q 2044 3544 2130 3541 \n",
       "Q 2216 3538 2266 3534 \n",
       "L 2266 2969 \n",
       "Q 2241 2975 2141 2987 \n",
       "Q 2041 3000 1928 3000 \n",
       "Q 1550 3000 1303 2770 \n",
       "Q 1056 2541 1056 2188 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-266\" d=\"M 1963 -75 \n",
       "Q 1456 -75 1089 150 \n",
       "Q 722 375 523 778 \n",
       "Q 325 1181 325 1719 \n",
       "Q 325 2256 519 2665 \n",
       "Q 713 3075 1067 3306 \n",
       "Q 1422 3538 1897 3538 \n",
       "Q 2175 3538 2445 3445 \n",
       "Q 2716 3353 2936 3148 \n",
       "Q 3156 2944 3287 2609 \n",
       "Q 3419 2275 3419 1791 \n",
       "L 3419 1556 \n",
       "L 894 1556 \n",
       "Q 916 1009 1208 717 \n",
       "Q 1500 425 1966 425 \n",
       "Q 2275 425 2498 561 \n",
       "Q 2722 697 2819 963 \n",
       "L 3363 813 \n",
       "Q 3241 416 2870 170 \n",
       "Q 2500 -75 1963 -75 \n",
       "z\n",
       "M 897 2031 \n",
       "L 2847 2031 \n",
       "Q 2806 2478 2567 2758 \n",
       "Q 2328 3038 1897 3038 \n",
       "Q 1597 3038 1380 2897 \n",
       "Q 1163 2756 1038 2528 \n",
       "Q 913 2300 897 2031 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-351\" d=\"M 3425 -1306 \n",
       "L 2863 -1306 \n",
       "L 2863 541 \n",
       "L 2819 541 \n",
       "Q 2763 444 2652 298 \n",
       "Q 2541 153 2339 39 \n",
       "Q 2138 -75 1803 -75 \n",
       "Q 1369 -75 1034 147 \n",
       "Q 700 369 512 775 \n",
       "Q 325 1181 325 1738 \n",
       "Q 325 2291 514 2695 \n",
       "Q 703 3100 1037 3319 \n",
       "Q 1372 3538 1806 3538 \n",
       "Q 2147 3538 2347 3425 \n",
       "Q 2547 3313 2655 3170 \n",
       "Q 2763 3028 2819 2934 \n",
       "L 2881 2934 \n",
       "L 2881 3494 \n",
       "L 3425 3494 \n",
       "L 3425 -1306 \n",
       "z\n",
       "M 1888 428 \n",
       "Q 2363 428 2616 793 \n",
       "Q 2869 1159 2869 1744 \n",
       "Q 2869 2322 2620 2678 \n",
       "Q 2372 3034 1888 3034 \n",
       "Q 1556 3034 1336 2862 \n",
       "Q 1116 2691 1006 2398 \n",
       "Q 897 2106 897 1744 \n",
       "Q 897 1378 1008 1079 \n",
       "Q 1119 781 1341 604 \n",
       "Q 1563 428 1888 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-393\" d=\"M 1678 -44 \n",
       "Q 1150 -44 822 284 \n",
       "Q 494 613 494 1275 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 1322 \n",
       "Q 1056 919 1268 691 \n",
       "Q 1481 463 1847 463 \n",
       "Q 2222 463 2473 708 \n",
       "Q 2725 953 2725 1400 \n",
       "L 2725 3494 \n",
       "L 3291 3494 \n",
       "L 3291 0 \n",
       "L 2747 0 \n",
       "L 2747 653 \n",
       "Q 2575 272 2298 114 \n",
       "Q 2022 -44 1678 -44 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-305\" d=\"M 1056 2094 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 3494 \n",
       "L 1034 3494 \n",
       "L 1038 2847 \n",
       "Q 1206 3219 1479 3378 \n",
       "Q 1753 3538 2106 3538 \n",
       "Q 2638 3538 2963 3209 \n",
       "Q 3288 2881 3288 2219 \n",
       "L 3288 0 \n",
       "L 2725 0 \n",
       "L 2725 2172 \n",
       "Q 2725 2575 2514 2803 \n",
       "Q 2303 3031 1938 3031 \n",
       "Q 1559 3031 1307 2786 \n",
       "Q 1056 2541 1056 2094 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-24a\" d=\"M 1916 -75 \n",
       "Q 1441 -75 1083 150 \n",
       "Q 725 375 525 781 \n",
       "Q 325 1188 325 1725 \n",
       "Q 325 2272 525 2680 \n",
       "Q 725 3088 1083 3313 \n",
       "Q 1441 3538 1916 3538 \n",
       "Q 2422 3538 2805 3283 \n",
       "Q 3188 3028 3331 2572 \n",
       "L 2791 2419 \n",
       "Q 2713 2688 2486 2861 \n",
       "Q 2259 3034 1916 3034 \n",
       "Q 1566 3034 1341 2851 \n",
       "Q 1116 2669 1006 2372 \n",
       "Q 897 2075 897 1725 \n",
       "Q 897 1381 1006 1086 \n",
       "Q 1116 791 1341 609 \n",
       "Q 1566 428 1916 428 \n",
       "Q 2269 428 2498 608 \n",
       "Q 2728 788 2806 1072 \n",
       "L 3344 919 \n",
       "Q 3203 453 2815 189 \n",
       "Q 2428 -75 1916 -75 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-3e6\" d=\"M 438 -1266 \n",
       "L 581 -778 \n",
       "L 641 -794 \n",
       "Q 900 -863 1087 -773 \n",
       "Q 1275 -684 1403 -309 \n",
       "L 1503 -19 \n",
       "L 169 3494 \n",
       "L 784 3494 \n",
       "L 1528 1422 \n",
       "Q 1609 1194 1673 969 \n",
       "Q 1738 744 1797 525 \n",
       "Q 1856 744 1920 969 \n",
       "Q 1984 1194 2066 1422 \n",
       "L 2816 3494 \n",
       "L 3428 3494 \n",
       "L 1894 -522 \n",
       "Q 1734 -938 1478 -1134 \n",
       "Q 1222 -1331 850 -1331 \n",
       "Q 700 -1331 590 -1309 \n",
       "Q 481 -1288 438 -1266 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-6f1\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-5a6\" d=\"M 681 2191 \n",
       "Q 681 2700 786 3258 \n",
       "Q 891 3816 1072 4333 \n",
       "Q 1253 4850 1488 5235 \n",
       "L 2034 5235 \n",
       "Q 1794 4744 1617 4213 \n",
       "Q 1441 3682 1347 3164 \n",
       "Q 1253 2647 1253 2191 \n",
       "Q 1253 1569 1442 911 \n",
       "Q 1631 253 2034 -578 \n",
       "L 1488 -578 \n",
       "Q 1091 100 886 803 \n",
       "Q 681 1507 681 2191 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-8d\" d=\"M 2466 -63 \n",
       "Q 1844 -63 1375 228 \n",
       "Q 906 519 643 1055 \n",
       "Q 381 1591 381 2325 \n",
       "Q 381 3066 643 3602 \n",
       "Q 906 4138 1368 4428 \n",
       "Q 1831 4719 2428 4719 \n",
       "Q 2922 4719 3323 4526 \n",
       "Q 3725 4334 3990 3992 \n",
       "Q 4256 3650 4341 3197 \n",
       "L 3728 3197 \n",
       "Q 3584 3644 3254 3906 \n",
       "Q 2925 4169 2431 4169 \n",
       "Q 2022 4169 1687 3958 \n",
       "Q 1353 3747 1156 3336 \n",
       "Q 959 2925 959 2325 \n",
       "Q 959 1731 1157 1322 \n",
       "Q 1356 913 1697 700 \n",
       "Q 2038 488 2466 488 \n",
       "Q 2853 488 3150 650 \n",
       "Q 3447 813 3617 1113 \n",
       "Q 3788 1413 3794 1822 \n",
       "L 2588 1822 \n",
       "L 2588 2341 \n",
       "L 4375 2341 \n",
       "L 4375 1831 \n",
       "Q 4375 1253 4128 828 \n",
       "Q 3881 403 3451 170 \n",
       "Q 3022 -63 2466 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-a1\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 1156 4656 \n",
       "L 1156 2644 \n",
       "L 3600 2644 \n",
       "L 3600 4656 \n",
       "L 4194 4656 \n",
       "L 4194 0 \n",
       "L 3600 0 \n",
       "L 3600 2119 \n",
       "L 1156 2119 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-3fe\" d=\"M 394 0 \n",
       "L 394 419 \n",
       "L 2353 2938 \n",
       "L 2353 2972 \n",
       "L 456 2972 \n",
       "L 456 3494 \n",
       "L 3078 3494 \n",
       "L 3078 3047 \n",
       "L 1175 556 \n",
       "L 1175 522 \n",
       "L 3141 522 \n",
       "L 3141 0 \n",
       "L 394 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-5a7\" d=\"M 300 -578 \n",
       "Q 716 278 898 933 \n",
       "Q 1081 1588 1081 2191 \n",
       "Q 1081 2647 987 3164 \n",
       "Q 894 3682 719 4213 \n",
       "Q 544 4744 300 5235 \n",
       "L 847 5235 \n",
       "Q 1081 4850 1264 4333 \n",
       "Q 1447 3816 1550 3256 \n",
       "Q 1653 2697 1653 2191 \n",
       "Q 1653 1494 1445 791 \n",
       "Q 1238 88 847 -578 \n",
       "L 300 -578 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-89\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-354\" transform=\"translate(56.109375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(92.09375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-351\" transform=\"translate(150.390625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(211.625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(270.75 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(329.046875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-24a\" transform=\"translate(388.125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3e6\" transform=\"translate(443.296875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(499.5 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5a6\" transform=\"translate(527.625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-8d\" transform=\"translate(564.09375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-a1\" transform=\"translate(638.703125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3fe\" transform=\"translate(713.015625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5a7\" transform=\"translate(768.234375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path d=\"M 51.30957 216.412084 \n",
       "L 348.90666 216.412084 \n",
       "\" clip-path=\"url(#p76f9e6684e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <defs>\n",
       "       <path id=\"m3e698cc50f\" d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3e698cc50f\" x=\"51.30957\" y=\"216.412084\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathdefault{10^{-9}}$ -->\n",
       "      <g transform=\"translate(24.50957 221.255834) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-5f3\" d=\"M 3584 2091 \n",
       "L 3584 1553 \n",
       "L 656 1553 \n",
       "L 656 2091 \n",
       "L 3584 2091 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-548\" d=\"M 1884 -63 \n",
       "Q 1488 -63 1178 93 \n",
       "Q 869 250 672 531 \n",
       "Q 475 813 419 1184 \n",
       "L 1006 1184 \n",
       "Q 1078 875 1297 669 \n",
       "Q 1516 463 1884 463 \n",
       "Q 2416 463 2723 927 \n",
       "Q 3031 1391 3031 2238 \n",
       "L 2994 2238 \n",
       "Q 2806 1953 2509 1784 \n",
       "Q 2213 1616 1847 1616 \n",
       "Q 1447 1616 1112 1814 \n",
       "Q 778 2013 579 2361 \n",
       "Q 381 2709 381 3156 \n",
       "Q 381 3591 578 3948 \n",
       "Q 775 4306 1129 4517 \n",
       "Q 1484 4728 1963 4719 \n",
       "Q 2250 4716 2537 4608 \n",
       "Q 2825 4500 3062 4253 \n",
       "Q 3300 4006 3444 3581 \n",
       "Q 3588 3156 3588 2513 \n",
       "Q 3588 1278 3131 607 \n",
       "Q 2675 -63 1884 -63 \n",
       "z\n",
       "M 1934 2134 \n",
       "Q 2219 2134 2447 2279 \n",
       "Q 2675 2425 2811 2662 \n",
       "Q 2947 2900 2947 3172 \n",
       "Q 2947 3441 2817 3673 \n",
       "Q 2688 3906 2464 4051 \n",
       "Q 2241 4197 1953 4197 \n",
       "Q 1672 4197 1448 4058 \n",
       "Q 1225 3919 1094 3683 \n",
       "Q 963 3447 963 3159 \n",
       "Q 963 2875 1089 2642 \n",
       "Q 1216 2409 1434 2271 \n",
       "Q 1653 2134 1934 2134 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.071875)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.071875)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(104.715156 38.2875) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-548\" transform=\"translate(151.028633 38.2875) scale(0.7)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path d=\"M 51.30957 123.382321 \n",
       "L 348.90666 123.382321 \n",
       "\" clip-path=\"url(#p76f9e6684e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3e698cc50f\" x=\"51.30957\" y=\"123.382321\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- $\\mathdefault{10^{-8}}$ -->\n",
       "      <g transform=\"translate(24.50957 128.226071) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.170313)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(104.715156 38.385938) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(151.028633 38.385938) scale(0.7)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path d=\"M 51.30957 30.352558 \n",
       "L 348.90666 30.352558 \n",
       "\" clip-path=\"url(#p76f9e6684e)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3e698cc50f\" x=\"51.30957\" y=\"30.352558\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- $\\mathdefault{10^{-7}}$ -->\n",
       "      <g transform=\"translate(24.90957 35.196308) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-546\" d=\"M 625 0 \n",
       "L 2694 4097 \n",
       "L 2694 4134 \n",
       "L 306 4134 \n",
       "L 306 4656 \n",
       "L 3316 4656 \n",
       "L 3316 4103 \n",
       "L 1250 0 \n",
       "L 625 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.859375)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.859375)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(104.715156 39.075) scale(0.7)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(151.028633 39.075) scale(0.7)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <defs>\n",
       "       <path id=\"m3a2d31850c\" d=\"M 0 0 \n",
       "L -2 0 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"237.050621\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"230.822577\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"225.4276\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"220.668893\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"188.407335\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"172.025607\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"160.402586\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"151.38707\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"144.020858\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"137.792814\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"132.397837\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_15\">\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"127.639129\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_16\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"95.377572\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_17\">\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"78.995844\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_18\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"67.372823\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_19\">\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"58.357307\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_20\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"50.991095\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_21\">\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"44.763051\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_22\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"39.368073\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_23\">\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3a2d31850c\" x=\"51.30957\" y=\"34.609366\" style=\"stroke: #000000; stroke-width: 0.6\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_11\">\n",
       "     <!-- $|V_\\text{SQUID}|$ for 1 nA drive (V) -->\n",
       "     <g transform=\"translate(17.85625 186.05041) rotate(-90) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"FiraMath-Regular-5d\" d=\"M 1555 4774 \n",
       "L 1024 4774 \n",
       "L 1024 -1190 \n",
       "L 1555 -1190 \n",
       "L 1555 4774 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-37\" d=\"M 3520 4410 \n",
       "L 2906 4410 \n",
       "L 1798 659 \n",
       "L 691 4410 \n",
       "L 38 4410 \n",
       "L 1459 0 \n",
       "L 2112 0 \n",
       "L 3520 4410 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-34\" d=\"M 1728 4486 \n",
       "C 915 4486 339 4013 339 3334 \n",
       "C 339 2650 787 2323 1645 2061 \n",
       "C 2394 1830 2598 1638 2598 1210 \n",
       "C 2598 678 2170 422 1651 422 \n",
       "C 1171 422 826 595 493 864 \n",
       "L 160 493 \n",
       "C 525 134 1024 -77 1658 -77 \n",
       "C 2650 -77 3232 461 3232 1229 \n",
       "C 3232 2074 2630 2349 1926 2566 \n",
       "C 1133 2810 960 2989 960 3360 \n",
       "C 960 3782 1312 3987 1754 3987 \n",
       "C 2118 3987 2426 3872 2758 3603 \n",
       "L 3091 3974 \n",
       "C 2720 4307 2336 4486 1728 4486 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-32\" d=\"M 998 2195 \n",
       "C 998 3469 1478 3987 2214 3987 \n",
       "C 2970 3987 3430 3469 3430 2202 \n",
       "C 3430 922 2957 422 2214 422 \n",
       "C 1498 422 998 922 998 2195 \n",
       "z\n",
       "M 3066 250 \n",
       "C 3693 576 4077 1120 4077 2202 \n",
       "C 4077 3686 3322 4486 2214 4486 \n",
       "C 1114 4486 352 3648 352 2195 \n",
       "C 352 717 1114 -64 2202 -64 \n",
       "C 3002 -64 3366 -211 3866 -659 \n",
       "L 4262 -147 \n",
       "C 3949 70 3571 250 3066 250 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-36\" d=\"M 3661 4410 \n",
       "L 3046 4410 \n",
       "L 3046 1459 \n",
       "C 3046 774 2746 435 2112 435 \n",
       "C 1485 435 1184 774 1184 1459 \n",
       "L 1184 4410 \n",
       "L 576 4410 \n",
       "L 576 1414 \n",
       "C 576 538 1107 -77 2112 -77 \n",
       "C 3104 -77 3661 538 3661 1414 \n",
       "L 3661 4410 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-2a\" d=\"M 1248 4410 \n",
       "L 640 4410 \n",
       "L 640 0 \n",
       "L 1248 0 \n",
       "L 1248 4410 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-25\" d=\"M 1696 3923 \n",
       "C 2400 3923 3123 3718 3123 2227 \n",
       "C 3123 774 2432 480 1741 480 \n",
       "L 1248 480 \n",
       "L 1248 3923 \n",
       "L 1696 3923 \n",
       "z\n",
       "M 1562 4410 \n",
       "L 640 4410 \n",
       "L 640 0 \n",
       "L 1696 0 \n",
       "C 2650 0 3770 429 3770 2227 \n",
       "C 3770 4058 2688 4410 1562 4410 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-287\" d=\"M 2119 3494 \n",
       "L 2119 3013 \n",
       "L 1313 3013 \n",
       "L 1313 0 \n",
       "L 750 0 \n",
       "L 750 3013 \n",
       "L 63 3013 \n",
       "L 63 3494 \n",
       "L 750 3494 \n",
       "L 750 3959 \n",
       "Q 750 4263 892 4466 \n",
       "Q 1034 4669 1262 4772 \n",
       "Q 1491 4875 1744 4875 \n",
       "Q 1944 4875 2075 4842 \n",
       "Q 2206 4809 2269 4781 \n",
       "L 2113 4300 \n",
       "Q 2069 4316 1998 4334 \n",
       "Q 1928 4353 1809 4353 \n",
       "Q 1550 4353 1431 4220 \n",
       "Q 1313 4088 1313 3834 \n",
       "L 1313 3494 \n",
       "L 2119 3494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-316\" d=\"M 1916 -75 \n",
       "Q 1441 -75 1083 150 \n",
       "Q 725 375 525 781 \n",
       "Q 325 1188 325 1725 \n",
       "Q 325 2272 525 2680 \n",
       "Q 725 3088 1083 3313 \n",
       "Q 1441 3538 1916 3538 \n",
       "Q 2394 3538 2753 3313 \n",
       "Q 3113 3088 3313 2680 \n",
       "Q 3513 2272 3513 1725 \n",
       "Q 3513 1188 3313 781 \n",
       "Q 3113 375 2753 150 \n",
       "Q 2394 -75 1916 -75 \n",
       "z\n",
       "M 1916 428 \n",
       "Q 2269 428 2497 609 \n",
       "Q 2725 791 2834 1086 \n",
       "Q 2944 1381 2944 1725 \n",
       "Q 2944 2072 2834 2370 \n",
       "Q 2725 2669 2497 2851 \n",
       "Q 2269 3034 1916 3034 \n",
       "Q 1566 3034 1341 2851 \n",
       "Q 1116 2669 1006 2372 \n",
       "Q 897 2075 897 1725 \n",
       "Q 897 1381 1006 1086 \n",
       "Q 1116 791 1341 609 \n",
       "Q 1566 428 1916 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2\" d=\"M 163 0 \n",
       "L 1853 4656 \n",
       "L 2541 4656 \n",
       "L 4253 0 \n",
       "L 3628 0 \n",
       "L 3163 1300 \n",
       "L 1244 1300 \n",
       "L 794 0 \n",
       "L 163 0 \n",
       "z\n",
       "M 1425 1819 \n",
       "L 2978 1819 \n",
       "L 2641 2763 \n",
       "Q 2556 2997 2450 3336 \n",
       "Q 2344 3675 2194 4181 \n",
       "Q 2047 3666 1937 3322 \n",
       "Q 1828 2978 1753 2763 \n",
       "L 1425 1819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-255\" d=\"M 1803 -75 \n",
       "Q 1369 -75 1034 147 \n",
       "Q 700 369 512 775 \n",
       "Q 325 1181 325 1738 \n",
       "Q 325 2291 514 2695 \n",
       "Q 703 3100 1037 3319 \n",
       "Q 1372 3538 1806 3538 \n",
       "Q 2147 3538 2347 3425 \n",
       "Q 2547 3313 2655 3170 \n",
       "Q 2763 3028 2819 2934 \n",
       "L 2863 2934 \n",
       "L 2863 4656 \n",
       "L 3425 4656 \n",
       "L 3425 0 \n",
       "L 2881 0 \n",
       "L 2881 541 \n",
       "L 2819 541 \n",
       "Q 2763 444 2652 298 \n",
       "Q 2541 153 2339 39 \n",
       "Q 2138 -75 1803 -75 \n",
       "z\n",
       "M 1888 428 \n",
       "Q 2363 428 2616 793 \n",
       "Q 2869 1159 2869 1744 \n",
       "Q 2869 2322 2620 2678 \n",
       "Q 2372 3034 1888 3034 \n",
       "Q 1556 3034 1336 2862 \n",
       "Q 1116 2691 1006 2398 \n",
       "Q 897 2106 897 1744 \n",
       "Q 897 1378 1008 1079 \n",
       "Q 1119 781 1341 604 \n",
       "Q 1563 428 1888 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2b1\" d=\"M 494 0 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "z\n",
       "M 778 4066 \n",
       "Q 619 4066 503 4175 \n",
       "Q 387 4284 387 4438 \n",
       "Q 387 4594 503 4701 \n",
       "Q 619 4809 778 4809 \n",
       "Q 940 4809 1056 4701 \n",
       "Q 1172 4594 1172 4438 \n",
       "Q 1172 4284 1056 4175 \n",
       "Q 940 4066 778 4066 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-3d4\" d=\"M 1503 0 \n",
       "L 169 3494 \n",
       "L 784 3494 \n",
       "L 1528 1422 \n",
       "Q 1609 1194 1675 967 \n",
       "Q 1741 741 1800 522 \n",
       "Q 1859 741 1923 967 \n",
       "Q 1988 1194 2069 1422 \n",
       "L 2813 3494 \n",
       "L 3428 3494 \n",
       "L 2094 0 \n",
       "L 1503 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-59d\" d=\"M 681 1897 \n",
       "Q 681 2406 786 2964 \n",
       "Q 891 3522 1072 4039 \n",
       "Q 1253 4556 1488 4941 \n",
       "L 2034 4941 \n",
       "Q 1794 4450 1617 3919 \n",
       "Q 1441 3388 1347 2870 \n",
       "Q 1253 2353 1253 1897 \n",
       "Q 1253 1275 1442 617 \n",
       "Q 1631 -41 2034 -872 \n",
       "L 1488 -872 \n",
       "Q 1091 -194 886 509 \n",
       "Q 681 1213 681 1897 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-1c8\" d=\"M 1875 0 \n",
       "L 163 4656 \n",
       "L 788 4656 \n",
       "L 1772 1894 \n",
       "Q 1850 1678 1961 1329 \n",
       "Q 2072 981 2219 481 \n",
       "Q 2366 994 2477 1336 \n",
       "Q 2588 1678 2663 1894 \n",
       "L 3622 4656 \n",
       "L 4253 4656 \n",
       "L 2559 0 \n",
       "L 1875 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-59e\" d=\"M 300 -872 \n",
       "Q 716 -16 898 639 \n",
       "Q 1081 1294 1081 1897 \n",
       "Q 1081 2353 987 2870 \n",
       "Q 894 3388 719 3919 \n",
       "Q 544 4450 300 4941 \n",
       "L 847 4941 \n",
       "Q 1081 4556 1264 4039 \n",
       "Q 1447 3522 1550 2962 \n",
       "Q 1653 2403 1653 1897 \n",
       "Q 1653 1200 1445 497 \n",
       "Q 1238 -206 847 -872 \n",
       "L 300 -872 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#FiraMath-Regular-5d\" transform=\"translate(0 0.796875)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-37\" transform=\"translate(40.299957 0.796875)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-34\" transform=\"translate(95.899902 -15.014062) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-32\" transform=\"translate(134.04987 -15.014062) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-36\" transform=\"translate(182.419821 -15.014062) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-2a\" transform=\"translate(228.759776 -15.014062) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-25\" transform=\"translate(249.409755 -15.014062) scale(0.7)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-5d\" transform=\"translate(297.124864 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(337.424821 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-287\" transform=\"translate(365.549821 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(402.56154 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-354\" transform=\"translate(462.522478 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(500.168962 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(528.293962 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(568.96779 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(597.09279 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2\" transform=\"translate(656.174821 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(725.168962 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-255\" transform=\"translate(753.293962 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-354\" transform=\"translate(814.524431 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(852.170915 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3d4\" transform=\"translate(876.389665 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(932.590837 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(990.891618 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59d\" transform=\"translate(1019.016618 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1c8\" transform=\"translate(1055.491228 0.796875)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-59e\" transform=\"translate(1124.485368 0.796875)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_39\">\n",
       "    <path d=\"M 51.30957 226.736692 \n",
       "L 60.728424 224.408262 \n",
       "L 70.01336 221.884537 \n",
       "L 79.101885 219.18465 \n",
       "L 87.943406 216.327196 \n",
       "L 96.493285 213.331541 \n",
       "L 104.721762 210.21426 \n",
       "L 112.60503 206.991519 \n",
       "L 120.131185 203.676161 \n",
       "L 127.291299 200.280794 \n",
       "L 134.085373 196.814698 \n",
       "L 140.516382 193.286038 \n",
       "L 146.593254 189.699833 \n",
       "L 152.324916 186.060868 \n",
       "L 157.720298 182.373886 \n",
       "L 162.797253 178.636969 \n",
       "L 167.567687 174.851339 \n",
       "L 172.049454 171.012453 \n",
       "L 176.254459 167.119326 \n",
       "L 180.197581 163.16716 \n",
       "L 183.896676 159.145936 \n",
       "L 187.363647 155.049513 \n",
       "L 190.610399 150.870018 \n",
       "L 193.651811 146.593055 \n",
       "L 196.499787 142.204604 \n",
       "L 199.163254 137.692084 \n",
       "L 201.654117 133.03424 \n",
       "L 203.981303 128.210111 \n",
       "L 206.15374 123.193373 \n",
       "L 208.17738 117.958689 \n",
       "L 210.06115 112.465993 \n",
       "L 211.811004 106.673473 \n",
       "L 213.432892 100.528292 \n",
       "L 214.92979 93.976738 \n",
       "L 216.307651 86.938009 \n",
       "L 217.575402 79.28803 \n",
       "L 218.736019 70.904152 \n",
       "L 219.804382 61.531686 \n",
       "L 220.798346 50.798922 \n",
       "L 221.798262 37.465622 \n",
       "L 223.164219 19.14614 \n",
       "L 223.461813 17.720226 \n",
       "L 223.565971 17.661813 \n",
       "L 223.601683 17.696476 \n",
       "L 223.7356 18.070939 \n",
       "L 223.958795 19.490308 \n",
       "L 224.330788 23.535901 \n",
       "L 225.312849 37.610373 \n",
       "L 226.422875 51.797453 \n",
       "L 227.470406 62.381779 \n",
       "L 228.583408 71.415804 \n",
       "L 229.785688 79.386017 \n",
       "L 231.086175 86.53754 \n",
       "L 232.487843 93.020718 \n",
       "L 233.996645 98.961076 \n",
       "L 235.615557 104.441777 \n",
       "L 237.347555 109.527622 \n",
       "L 239.195614 114.269712 \n",
       "L 241.162711 118.708845 \n",
       "L 243.251822 122.877985 \n",
       "L 245.468898 126.809029 \n",
       "L 247.819892 130.52703 \n",
       "L 250.310754 134.051852 \n",
       "L 252.950414 137.40295 \n",
       "L 255.747799 140.595204 \n",
       "L 258.70886 143.637062 \n",
       "L 261.848478 146.54318 \n",
       "L 265.17558 149.319043 \n",
       "L 268.699095 151.96849 \n",
       "L 272.433901 154.497815 \n",
       "L 276.394878 156.910597 \n",
       "L 280.593931 159.206639 \n",
       "L 285.042963 161.384508 \n",
       "L 289.753878 163.441677 \n",
       "L 294.741555 165.375692 \n",
       "L 300.017899 167.181662 \n",
       "L 305.591837 168.852969 \n",
       "L 311.472297 170.38253 \n",
       "L 317.66523 171.762066 \n",
       "L 324.170637 172.981966 \n",
       "L 330.988519 174.032872 \n",
       "L 338.112922 174.904744 \n",
       "L 345.531943 175.587446 \n",
       "L 348.90666 175.826756 \n",
       "L 348.90666 175.826756 \n",
       "\" clip-path=\"url(#p76f9e6684e)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_40\">\n",
       "    <path d=\"M 222.368428 237.19082 \n",
       "L 222.368428 7.2 \n",
       "\" clip-path=\"url(#p76f9e6684e)\" style=\"fill: none; stroke-dasharray: 1.5,2.475; stroke-dashoffset: 0; stroke: #808080; stroke-width: 1.5\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 51.30957 237.19082 \n",
       "L 51.30957 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 348.90666 237.19082 \n",
       "L 348.90666 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 51.30957 237.19082 \n",
       "L 348.90666 237.19082 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 51.30957 7.2 \n",
       "L 348.90666 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"text_12\">\n",
       "    <!-- $f_0 + f_\\text{p}$ -->\n",
       "    <g transform=\"translate(222.368428 18.699541) scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"FiraMath-Regular-47\" d=\"M 1754 4326 \n",
       "C 1926 4326 2125 4294 2342 4198 \n",
       "L 2528 4627 \n",
       "C 2259 4742 2042 4800 1722 4800 \n",
       "C 1037 4800 666 4397 666 3834 \n",
       "L 666 3373 \n",
       "L 64 3373 \n",
       "L 64 2918 \n",
       "L 666 2918 \n",
       "L 666 0 \n",
       "L 1254 0 \n",
       "L 1254 2918 \n",
       "L 2010 2918 \n",
       "L 2074 3373 \n",
       "L 1254 3373 \n",
       "L 1254 3840 \n",
       "C 1254 4166 1382 4326 1754 4326 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"FiraMath-Regular-11\" d=\"M 1792 4019 \n",
       "C 2323 4019 2611 3533 2611 2208 \n",
       "C 2611 877 2323 390 1792 390 \n",
       "C 1254 390 973 877 973 2208 \n",
       "C 973 3533 1254 4019 1792 4019 \n",
       "z\n",
       "M 1792 4486 \n",
       "C 832 4486 358 3699 358 2208 \n",
       "C 358 717 832 -77 1792 -77 \n",
       "C 2752 -77 3226 717 3226 2208 \n",
       "C 3226 3693 2752 4486 1792 4486 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"FiraMath-Regular-c\" d=\"M 1869 2995 \n",
       "L 1331 2995 \n",
       "L 1331 2035 \n",
       "L 397 2035 \n",
       "L 397 1549 \n",
       "L 1331 1549 \n",
       "L 1331 589 \n",
       "L 1869 589 \n",
       "L 1869 1549 \n",
       "L 2803 1549 \n",
       "L 2803 2035 \n",
       "L 1869 2035 \n",
       "L 1869 2995 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"FiraMath-Regular-51\" d=\"M 1939 403 \n",
       "C 1632 403 1370 550 1197 813 \n",
       "L 1197 2458 \n",
       "C 1376 2726 1651 2982 2010 2982 \n",
       "C 2515 2982 2771 2566 2771 1690 \n",
       "C 2771 806 2477 403 1939 403 \n",
       "z\n",
       "M 2157 3450 \n",
       "C 1773 3450 1408 3264 1158 2918 \n",
       "L 1114 3373 \n",
       "L 608 3373 \n",
       "L 608 -1363 \n",
       "L 1197 -1293 \n",
       "L 1197 307 \n",
       "C 1414 45 1715 -77 2080 -77 \n",
       "C 2950 -77 3405 666 3405 1690 \n",
       "C 3405 2752 3053 3450 2157 3450 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#FiraMath-Regular-47\"/>\n",
       "     <use xlink:href=\"#FiraMath-Regular-11\" transform=\"translate(33.499969 -15.810937) scale(0.7)\"/>\n",
       "     <use xlink:href=\"#FiraMath-Regular-c\" transform=\"translate(92.475078 0)\"/>\n",
       "     <use xlink:href=\"#FiraMath-Regular-47\" transform=\"translate(159.615016 0)\"/>\n",
       "     <use xlink:href=\"#FiraMath-Regular-51\" transform=\"translate(193.114986 -15.810937) scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 407.41623 237.19082 \n",
       "L 705.01332 237.19082 \n",
       "L 705.01332 7.2 \n",
       "L 407.41623 7.2 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 333.016958 121.635788 \n",
       "L 349.55013 121.635788 \n",
       "L 349.55013 121.635788 \n",
       "L 333.016958 121.635788 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 374.349887 121.635788 \n",
       "L 390.883059 121.635788 \n",
       "L 390.883059 121.635791 \n",
       "L 374.349887 121.635791 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 415.682816 121.635788 \n",
       "L 432.215988 121.635788 \n",
       "L 432.215988 121.638286 \n",
       "L 415.682816 121.638286 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 457.015745 121.635788 \n",
       "L 473.548917 121.635788 \n",
       "L 473.548917 122.195704 \n",
       "L 457.015745 122.195704 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 498.348675 121.635788 \n",
       "L 514.881846 121.635788 \n",
       "L 514.881846 134.14793 \n",
       "L 498.348675 134.14793 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path d=\"M 539.681604 121.635788 \n",
       "L 556.214775 121.635788 \n",
       "L 556.214775 102.132329 \n",
       "L 539.681604 102.132329 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path d=\"M 581.014533 121.635788 \n",
       "L 597.547705 121.635788 \n",
       "L 597.547705 119.183632 \n",
       "L 581.014533 119.183632 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 622.347462 121.635788 \n",
       "L 638.880634 121.635788 \n",
       "L 638.880634 121.62484 \n",
       "L 622.347462 121.62484 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 663.680391 121.635788 \n",
       "L 680.213563 121.635788 \n",
       "L 680.213563 121.635776 \n",
       "L 663.680391 121.635776 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_17\">\n",
       "    <path d=\"M 705.01332 121.635788 \n",
       "L 721.546492 121.635788 \n",
       "L 721.546492 121.635788 \n",
       "L 705.01332 121.635788 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_18\">\n",
       "    <path d=\"M 746.346249 121.635788 \n",
       "L 762.879421 121.635788 \n",
       "L 762.879421 121.635788 \n",
       "L 746.346249 121.635788 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #1f77b4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_19\">\n",
       "    <path d=\"M 349.55013 121.635788 \n",
       "L 366.083301 121.635788 \n",
       "L 366.083301 121.635789 \n",
       "L 349.55013 121.635789 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_20\">\n",
       "    <path d=\"M 390.883059 121.635788 \n",
       "L 407.41623 121.635788 \n",
       "L 407.41623 121.63659 \n",
       "L 390.883059 121.63659 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_21\">\n",
       "    <path d=\"M 432.215988 121.635788 \n",
       "L 448.74916 121.635788 \n",
       "L 448.74916 121.858355 \n",
       "L 432.215988 121.858355 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_22\">\n",
       "    <path d=\"M 473.548917 121.635788 \n",
       "L 490.082089 121.635788 \n",
       "L 490.082089 136.972478 \n",
       "L 473.548917 136.972478 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_23\">\n",
       "    <path d=\"M 514.881846 121.635788 \n",
       "L 531.415018 121.635788 \n",
       "L 531.415018 226.736692 \n",
       "L 514.881846 226.736692 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_24\">\n",
       "    <path d=\"M 556.214775 121.635788 \n",
       "L 572.747947 121.635788 \n",
       "L 572.747947 17.654128 \n",
       "L 556.214775 17.654128 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_25\">\n",
       "    <path d=\"M 597.547705 121.635788 \n",
       "L 614.080876 121.635788 \n",
       "L 614.080876 96.431943 \n",
       "L 597.547705 96.431943 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_26\">\n",
       "    <path d=\"M 638.880634 121.635788 \n",
       "L 655.413805 121.635788 \n",
       "L 655.413805 121.269647 \n",
       "L 638.880634 121.269647 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_27\">\n",
       "    <path d=\"M 680.213563 121.635788 \n",
       "L 696.746734 121.635788 \n",
       "L 696.746734 121.634469 \n",
       "L 680.213563 121.634469 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_28\">\n",
       "    <path d=\"M 721.546492 121.635788 \n",
       "L 738.079664 121.635788 \n",
       "L 738.079664 121.635787 \n",
       "L 721.546492 121.635787 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_29\">\n",
       "    <path d=\"M 762.879421 121.635788 \n",
       "L 779.412593 121.635788 \n",
       "L 779.412593 121.635788 \n",
       "L 762.879421 121.635788 \n",
       "z\n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: #ff7f0e\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <path d=\"M 432.215988 237.19082 \n",
       "L 432.215988 7.2 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"432.215988\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- -3 -->\n",
       "      <g transform=\"translate(426.883957 253.87832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-5bf\" d=\"M 2494 2581 \n",
       "L 2494 2062 \n",
       "L 450 2062 \n",
       "L 450 2581 \n",
       "L 2494 2581 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-541\" d=\"M 1984 -63 \n",
       "Q 1528 -63 1175 93 \n",
       "Q 822 250 614 528 \n",
       "Q 406 806 391 1175 \n",
       "L 991 1175 \n",
       "Q 1016 844 1297 651 \n",
       "Q 1578 459 1975 459 \n",
       "Q 2413 459 2698 684 \n",
       "Q 2984 909 2984 1272 \n",
       "Q 2984 1650 2703 1889 \n",
       "Q 2422 2128 1903 2128 \n",
       "L 1525 2128 \n",
       "L 1525 2644 \n",
       "L 1903 2644 \n",
       "Q 2313 2644 2567 2861 \n",
       "Q 2822 3078 2822 3438 \n",
       "Q 2822 3784 2597 3993 \n",
       "Q 2372 4203 1991 4203 \n",
       "Q 1753 4203 1545 4117 \n",
       "Q 1338 4031 1205 3872 \n",
       "Q 1072 3713 1063 3484 \n",
       "L 491 3484 \n",
       "Q 503 3850 709 4128 \n",
       "Q 916 4406 1255 4562 \n",
       "Q 1594 4719 2003 4719 \n",
       "Q 2438 4719 2752 4544 \n",
       "Q 3066 4369 3234 4084 \n",
       "Q 3403 3800 3403 3469 \n",
       "Q 3403 3075 3195 2800 \n",
       "Q 2988 2525 2631 2419 \n",
       "L 2631 2381 \n",
       "Q 3078 2309 3325 2007 \n",
       "Q 3572 1706 3572 1266 \n",
       "Q 3572 884 3365 584 \n",
       "Q 3159 284 2800 110 \n",
       "Q 2441 -63 1984 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-5bf\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-541\" transform=\"translate(44.875 0)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <path d=\"M 473.548917 237.19082 \n",
       "L 473.548917 7.2 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"473.548917\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- -2 -->\n",
       "      <g transform=\"translate(468.368448 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5bf\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(42.625 0)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_45\">\n",
       "      <path d=\"M 514.881846 237.19082 \n",
       "L 514.881846 7.2 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_46\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"514.881846\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- -1 -->\n",
       "      <g transform=\"translate(510.548252 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5bf\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(46 0)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_47\">\n",
       "      <path d=\"M 556.214775 237.19082 \n",
       "L 556.214775 7.2 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_48\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"556.214775\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- +0 -->\n",
       "      <g transform=\"translate(549.752275 253.87832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-5ff\" d=\"M 1853 797 \n",
       "L 1853 2059 \n",
       "L 609 2059 \n",
       "L 609 2556 \n",
       "L 1853 2556 \n",
       "L 1853 3815 \n",
       "L 2381 3815 \n",
       "L 2381 2556 \n",
       "L 3625 2556 \n",
       "L 3625 2059 \n",
       "L 2381 2059 \n",
       "L 2381 797 \n",
       "L 1853 797 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-5ff\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(66.15625 0)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_49\">\n",
       "      <path d=\"M 597.547705 237.19082 \n",
       "L 597.547705 7.2 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_50\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"597.547705\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- +1 -->\n",
       "      <g transform=\"translate(592.206298 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5ff\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(66.15625 0)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_51\">\n",
       "      <path d=\"M 638.880634 237.19082 \n",
       "L 638.880634 7.2 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_52\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"638.880634\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- +2 -->\n",
       "      <g transform=\"translate(632.692352 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5ff\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(62.78125 0)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_53\">\n",
       "      <path d=\"M 680.213563 237.19082 \n",
       "L 680.213563 7.2 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_54\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mce4fcbd634\" x=\"680.213563\" y=\"237.19082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- +3 -->\n",
       "      <g transform=\"translate(673.873719 253.87832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5ff\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-541\" transform=\"translate(65.03125 0)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_20\">\n",
       "     <!-- Sideband $k$ -->\n",
       "     <g transform=\"translate(527.339775 270.94668) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-18d\" d=\"M 2053 -81 \n",
       "Q 1297 -81 850 276 \n",
       "Q 403 634 363 1219 \n",
       "L 972 1219 \n",
       "Q 997 956 1150 786 \n",
       "Q 1303 616 1542 533 \n",
       "Q 1781 450 2053 450 \n",
       "Q 2369 450 2620 553 \n",
       "Q 2872 656 3019 843 \n",
       "Q 3166 1031 3166 1278 \n",
       "Q 3166 1503 3039 1643 \n",
       "Q 2913 1784 2703 1875 \n",
       "Q 2494 1966 2244 2034 \n",
       "L 1681 2194 \n",
       "Q 1119 2353 806 2650 \n",
       "Q 494 2947 494 3409 \n",
       "Q 494 3803 706 4098 \n",
       "Q 919 4394 1281 4556 \n",
       "Q 1644 4719 2094 4719 \n",
       "Q 2553 4719 2906 4556 \n",
       "Q 3259 4394 3464 4114 \n",
       "Q 3669 3834 3681 3481 \n",
       "L 3100 3481 \n",
       "Q 3059 3822 2775 4008 \n",
       "Q 2491 4194 2075 4194 \n",
       "Q 1622 4194 1347 3980 \n",
       "Q 1072 3766 1072 3438 \n",
       "Q 1072 3194 1223 3045 \n",
       "Q 1375 2897 1583 2814 \n",
       "Q 1791 2731 1959 2684 \n",
       "L 2425 2556 \n",
       "Q 2613 2506 2839 2418 \n",
       "Q 3066 2331 3272 2186 \n",
       "Q 3478 2041 3611 1817 \n",
       "Q 3744 1594 3744 1269 \n",
       "Q 3744 888 3545 581 \n",
       "Q 3347 275 2969 97 \n",
       "Q 2591 -81 2053 -81 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-242\" d=\"M 2116 -75 \n",
       "Q 1784 -75 1581 39 \n",
       "Q 1378 153 1268 298 \n",
       "Q 1159 444 1100 541 \n",
       "L 1038 541 \n",
       "L 1038 0 \n",
       "L 494 0 \n",
       "L 494 4656 \n",
       "L 1056 4656 \n",
       "L 1056 2934 \n",
       "L 1100 2934 \n",
       "Q 1159 3028 1265 3170 \n",
       "Q 1372 3313 1572 3425 \n",
       "Q 1772 3538 2113 3538 \n",
       "Q 2550 3538 2883 3319 \n",
       "Q 3216 3100 3405 2695 \n",
       "Q 3594 2291 3594 1738 \n",
       "Q 3594 1181 3406 775 \n",
       "Q 3219 369 2886 147 \n",
       "Q 2553 -75 2116 -75 \n",
       "z\n",
       "M 2031 428 \n",
       "Q 2359 428 2579 604 \n",
       "Q 2800 781 2911 1079 \n",
       "Q 3022 1378 3022 1744 \n",
       "Q 3022 2106 2912 2398 \n",
       "Q 2803 2691 2583 2862 \n",
       "Q 2363 3034 2031 3034 \n",
       "Q 1550 3034 1300 2678 \n",
       "Q 1050 2322 1050 1744 \n",
       "Q 1050 1159 1303 793 \n",
       "Q 1556 428 2031 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-1fb\" d=\"M 1472 -81 \n",
       "Q 1141 -81 870 44 \n",
       "Q 600 169 440 409 \n",
       "Q 281 650 281 994 \n",
       "Q 281 1294 400 1481 \n",
       "Q 519 1669 717 1776 \n",
       "Q 916 1884 1156 1937 \n",
       "Q 1397 1991 1641 2022 \n",
       "Q 1953 2063 2150 2084 \n",
       "Q 2347 2106 2442 2159 \n",
       "Q 2538 2213 2538 2341 \n",
       "L 2538 2359 \n",
       "Q 2538 2684 2353 2864 \n",
       "Q 2169 3044 1806 3044 \n",
       "Q 1428 3044 1215 2880 \n",
       "Q 1003 2716 922 2531 \n",
       "L 381 2709 \n",
       "Q 516 3028 744 3208 \n",
       "Q 972 3388 1247 3463 \n",
       "Q 1522 3538 1791 3538 \n",
       "Q 1966 3538 2189 3495 \n",
       "Q 2413 3453 2620 3328 \n",
       "Q 2828 3203 2964 2958 \n",
       "Q 3100 2713 3100 2303 \n",
       "L 3100 0 \n",
       "L 2547 0 \n",
       "L 2547 475 \n",
       "L 2509 475 \n",
       "Q 2450 353 2319 223 \n",
       "Q 2188 94 1978 6 \n",
       "Q 1769 -81 1472 -81 \n",
       "z\n",
       "M 1569 416 \n",
       "Q 1881 416 2097 537 \n",
       "Q 2313 659 2425 854 \n",
       "Q 2538 1050 2538 1263 \n",
       "L 2538 1747 \n",
       "Q 2503 1706 2387 1673 \n",
       "Q 2272 1641 2123 1616 \n",
       "Q 1975 1591 1836 1573 \n",
       "Q 1697 1556 1616 1547 \n",
       "Q 1413 1522 1236 1461 \n",
       "Q 1059 1400 953 1283 \n",
       "Q 847 1166 847 966 \n",
       "Q 847 694 1051 555 \n",
       "Q 1256 416 1569 416 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-4c\" d=\"M 3136 3373 \n",
       "L 2477 3373 \n",
       "L 1235 1843 \n",
       "L 2573 0 \n",
       "L 3277 0 \n",
       "L 1894 1882 \n",
       "L 3136 3373 \n",
       "z\n",
       "M 1197 4800 \n",
       "L 608 4730 \n",
       "L 608 0 \n",
       "L 1197 0 \n",
       "L 1197 4800 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-18d\" transform=\"translate(0 0.859375)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(64.160156 0.859375)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-255\" transform=\"translate(88.378906 0.859375)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(149.609375 0.859375)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-242\" transform=\"translate(207.910156 0.859375)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-1fb\" transform=\"translate(269.140625 0.859375)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(325.292969 0.859375)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-255\" transform=\"translate(384.375 0.859375)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(445.605469 0.859375)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-4c\" transform=\"translate(473.730469 0.859375)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_24\">\n",
       "     <g id=\"line2d_55\">\n",
       "      <path d=\"M 407.41623 210.556153 \n",
       "L 705.01332 210.556153 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_56\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3e698cc50f\" x=\"407.41623\" y=\"210.556153\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- $\\mathdefault{−10}$ -->\n",
       "      <g transform=\"translate(383.41623 215.399903) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(66.162109 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(106.835938 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_25\">\n",
       "     <g id=\"line2d_57\">\n",
       "      <path d=\"M 407.41623 166.095971 \n",
       "L 705.01332 166.095971 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_58\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3e698cc50f\" x=\"407.41623\" y=\"166.095971\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_22\">\n",
       "      <!-- $\\mathdefault{−5}$ -->\n",
       "      <g transform=\"translate(387.81623 170.939721) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-543\" d=\"M 1863 -63 \n",
       "Q 1453 -63 1128 98 \n",
       "Q 803 259 609 539 \n",
       "Q 416 819 400 1175 \n",
       "L 975 1175 \n",
       "Q 1003 863 1258 661 \n",
       "Q 1513 459 1863 459 \n",
       "Q 2144 459 2364 590 \n",
       "Q 2584 722 2709 953 \n",
       "Q 2834 1184 2834 1478 \n",
       "Q 2834 1778 2703 2015 \n",
       "Q 2572 2253 2345 2389 \n",
       "Q 2119 2525 1825 2525 \n",
       "Q 1609 2525 1387 2456 \n",
       "Q 1166 2388 1028 2281 \n",
       "L 472 2350 \n",
       "L 747 4656 \n",
       "L 3197 4656 \n",
       "L 3197 4134 \n",
       "L 1247 4134 \n",
       "L 1088 2775 \n",
       "L 1113 2775 \n",
       "Q 1256 2894 1475 2970 \n",
       "Q 1694 3047 1934 3047 \n",
       "Q 2363 3047 2697 2845 \n",
       "Q 3031 2644 3223 2291 \n",
       "Q 3416 1938 3416 1488 \n",
       "Q 3416 1041 3214 691 \n",
       "Q 3013 341 2663 139 \n",
       "Q 2313 -63 1863 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-5f3\" transform=\"translate(0 0.25)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(66.162109 0.25)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_26\">\n",
       "     <g id=\"line2d_59\">\n",
       "      <path d=\"M 407.41623 121.635788 \n",
       "L 705.01332 121.635788 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_60\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3e698cc50f\" x=\"407.41623\" y=\"121.635788\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_23\">\n",
       "      <!-- $\\mathdefault{0}$ -->\n",
       "      <g transform=\"translate(394.01623 126.479538) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_27\">\n",
       "     <g id=\"line2d_61\">\n",
       "      <path d=\"M 407.41623 77.175606 \n",
       "L 705.01332 77.175606 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_62\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3e698cc50f\" x=\"407.41623\" y=\"77.175606\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_24\">\n",
       "      <!-- $\\mathdefault{5}$ -->\n",
       "      <g transform=\"translate(394.41623 82.019356) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.25)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_28\">\n",
       "     <g id=\"line2d_63\">\n",
       "      <path d=\"M 407.41623 32.715423 \n",
       "L 705.01332 32.715423 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_64\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m3e698cc50f\" x=\"407.41623\" y=\"32.715423\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_25\">\n",
       "      <!-- $\\mathdefault{10}$ -->\n",
       "      <g transform=\"translate(390.01623 37.559173) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_26\">\n",
       "     <!-- Weighted photon flux -->\n",
       "     <g transform=\"translate(376.76291 177.747129) rotate(-90) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-1cb\" d=\"M 1431 0 \n",
       "L 163 4656 \n",
       "L 769 4656 \n",
       "L 1506 1800 \n",
       "Q 1581 1500 1650 1190 \n",
       "Q 1719 881 1781 553 \n",
       "Q 1844 881 1912 1190 \n",
       "Q 1981 1500 2063 1800 \n",
       "L 2816 4656 \n",
       "L 3491 4656 \n",
       "L 4238 1800 \n",
       "Q 4394 1216 4522 572 \n",
       "Q 4581 894 4651 1198 \n",
       "Q 4722 1503 4797 1800 \n",
       "L 5531 4656 \n",
       "L 6144 4656 \n",
       "L 4869 0 \n",
       "L 4178 0 \n",
       "L 3378 2950 \n",
       "Q 3319 3172 3261 3425 \n",
       "Q 3203 3678 3150 3984 \n",
       "Q 3097 3700 3044 3451 \n",
       "Q 2991 3203 2922 2950 \n",
       "L 2125 0 \n",
       "L 1431 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-292\" d=\"M 1909 -1381 \n",
       "Q 1328 -1381 981 -1168 \n",
       "Q 634 -956 472 -669 \n",
       "L 928 -375 \n",
       "Q 1003 -475 1114 -597 \n",
       "Q 1225 -719 1414 -805 \n",
       "Q 1603 -891 1909 -891 \n",
       "Q 2328 -891 2598 -691 \n",
       "Q 2869 -491 2869 -59 \n",
       "L 2869 641 \n",
       "L 2816 641 \n",
       "Q 2756 541 2648 403 \n",
       "Q 2541 266 2339 161 \n",
       "Q 2138 56 1800 56 \n",
       "Q 1381 56 1047 254 \n",
       "Q 713 453 519 834 \n",
       "Q 325 1216 325 1763 \n",
       "Q 325 2303 515 2701 \n",
       "Q 706 3100 1042 3319 \n",
       "Q 1378 3538 1813 3538 \n",
       "Q 2150 3538 2351 3427 \n",
       "Q 2553 3316 2662 3172 \n",
       "Q 2772 3028 2831 2934 \n",
       "L 2884 2934 \n",
       "L 2884 3494 \n",
       "L 3431 3494 \n",
       "L 3431 -91 \n",
       "Q 3431 -541 3228 -827 \n",
       "Q 3025 -1113 2679 -1247 \n",
       "Q 2334 -1381 1909 -1381 \n",
       "z\n",
       "M 1894 556 \n",
       "Q 2369 556 2622 879 \n",
       "Q 2875 1203 2875 1775 \n",
       "Q 2875 2331 2626 2682 \n",
       "Q 2378 3034 1894 3034 \n",
       "Q 1563 3034 1341 2864 \n",
       "Q 1119 2694 1008 2409 \n",
       "Q 897 2125 897 1775 \n",
       "Q 897 1238 1150 897 \n",
       "Q 1403 556 1894 556 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-29e\" d=\"M 1056 2094 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 4656 \n",
       "L 1056 4656 \n",
       "L 1056 2888 \n",
       "Q 1228 3238 1495 3388 \n",
       "Q 1763 3538 2106 3538 \n",
       "Q 2638 3538 2964 3209 \n",
       "Q 3291 2881 3291 2219 \n",
       "L 3291 0 \n",
       "L 2725 0 \n",
       "L 2725 2172 \n",
       "Q 2725 2575 2514 2803 \n",
       "Q 2303 3031 1938 3031 \n",
       "Q 1559 3031 1307 2786 \n",
       "Q 1056 2541 1056 2094 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-379\" d=\"M 1869 3494 \n",
       "L 1869 3013 \n",
       "L 1150 3013 \n",
       "L 1150 906 \n",
       "Q 1150 672 1245 564 \n",
       "Q 1341 456 1563 456 \n",
       "Q 1616 456 1698 468 \n",
       "Q 1781 481 1850 494 \n",
       "L 1966 19 \n",
       "Q 1878 -13 1767 -28 \n",
       "Q 1656 -44 1547 -44 \n",
       "Q 1094 -44 841 195 \n",
       "Q 588 434 588 863 \n",
       "L 588 3013 \n",
       "L 63 3013 \n",
       "L 63 3494 \n",
       "L 588 3494 \n",
       "L 588 4325 \n",
       "L 1150 4325 \n",
       "L 1150 3494 \n",
       "L 1869 3494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-34b\" d=\"M 494 -1306 \n",
       "L 494 3494 \n",
       "L 1038 3494 \n",
       "L 1038 2934 \n",
       "L 1100 2934 \n",
       "Q 1159 3028 1265 3170 \n",
       "Q 1372 3313 1572 3425 \n",
       "Q 1772 3538 2113 3538 \n",
       "Q 2550 3538 2883 3319 \n",
       "Q 3216 3100 3405 2695 \n",
       "Q 3594 2291 3594 1738 \n",
       "Q 3594 1181 3406 775 \n",
       "Q 3219 369 2886 147 \n",
       "Q 2553 -75 2116 -75 \n",
       "Q 1784 -75 1581 39 \n",
       "Q 1378 153 1268 298 \n",
       "Q 1159 444 1100 541 \n",
       "L 1056 541 \n",
       "L 1056 -1306 \n",
       "L 494 -1306 \n",
       "z\n",
       "M 2031 428 \n",
       "Q 2359 428 2579 604 \n",
       "Q 2800 781 2911 1079 \n",
       "Q 3022 1378 3022 1744 \n",
       "Q 3022 2106 2912 2398 \n",
       "Q 2803 2691 2583 2862 \n",
       "Q 2363 3034 2031 3034 \n",
       "Q 1550 3034 1300 2678 \n",
       "Q 1050 2322 1050 1744 \n",
       "Q 1050 1159 1303 793 \n",
       "Q 1556 428 2031 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2e0\" d=\"M 1056 4656 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 4656 \n",
       "L 1056 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-3e1\" d=\"M 203 0 \n",
       "L 1431 1794 \n",
       "L 275 3494 \n",
       "L 931 3494 \n",
       "L 1366 2816 \n",
       "Q 1484 2628 1579 2461 \n",
       "Q 1675 2294 1766 2134 \n",
       "Q 1850 2294 1937 2461 \n",
       "Q 2025 2628 2147 2816 \n",
       "L 2591 3494 \n",
       "L 3234 3494 \n",
       "L 2066 1763 \n",
       "L 3291 0 \n",
       "L 2638 0 \n",
       "L 2125 784 \n",
       "Q 2009 963 1918 1123 \n",
       "Q 1828 1284 1741 1431 \n",
       "Q 1659 1284 1575 1123 \n",
       "Q 1491 963 1372 784 \n",
       "L 853 0 \n",
       "L 203 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-1cb\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(93.453125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2b1\" transform=\"translate(151.75 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-292\" transform=\"translate(175.96875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-29e\" transform=\"translate(237.296875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(296.421875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(328.171875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-255\" transform=\"translate(386.46875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(447.703125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-34b\" transform=\"translate(475.828125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-29e\" transform=\"translate(537.0625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(596.1875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(656.15625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(687.90625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(747.875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(806.953125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-287\" transform=\"translate(835.078125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2e0\" transform=\"translate(872.09375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(896.3125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3e1\" transform=\"translate(955.4375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_65\">\n",
       "    <path d=\"M 407.41623 121.635788 \n",
       "L 705.01332 121.635788 \n",
       "\" clip-path=\"url(#pa8d6003270)\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_30\">\n",
       "    <path d=\"M 407.41623 237.19082 \n",
       "L 407.41623 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_31\">\n",
       "    <path d=\"M 705.01332 237.19082 \n",
       "L 705.01332 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_32\">\n",
       "    <path d=\"M 407.41623 237.19082 \n",
       "L 705.01332 237.19082 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_33\">\n",
       "    <path d=\"M 407.41623 7.2 \n",
       "L 705.01332 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_34\">\n",
       "     <path d=\"M 638.43832 24.3875 \n",
       "L 658.43832 24.3875 \n",
       "L 658.43832 17.3875 \n",
       "L 638.43832 17.3875 \n",
       "z\n",
       "\" style=\"fill: #1f77b4\"/>\n",
       "    </g>\n",
       "    <g id=\"text_27\">\n",
       "     <!-- r = 0.5 -->\n",
       "     <g transform=\"translate(666.43832 24.3875) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-5f0\" d=\"M 706 884 \n",
       "L 706 1403 \n",
       "L 3531 1403 \n",
       "L 3531 884 \n",
       "L 706 884 \n",
       "z\n",
       "M 706 2241 \n",
       "L 706 2759 \n",
       "L 3531 2759 \n",
       "L 3531 2241 \n",
       "L 706 2241 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-5de\" d=\"M 922 -41 \n",
       "Q 747 -41 623 82 \n",
       "Q 500 206 500 381 \n",
       "Q 500 556 623 679 \n",
       "Q 747 803 922 803 \n",
       "Q 1097 803 1220 679 \n",
       "Q 1344 556 1344 381 \n",
       "Q 1344 206 1220 82 \n",
       "Q 1097 -41 922 -41 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-354\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(37.640625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5f0\" transform=\"translate(65.765625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(131.921875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(160.046875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(220.609375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(248 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"patch_35\">\n",
       "     <path d=\"M 638.43832 41.487109 \n",
       "L 658.43832 41.487109 \n",
       "L 658.43832 34.487109 \n",
       "L 638.43832 34.487109 \n",
       "z\n",
       "\" style=\"fill: #ff7f0e\"/>\n",
       "    </g>\n",
       "    <g id=\"text_28\">\n",
       "     <!-- r = 0.9 -->\n",
       "     <g transform=\"translate(666.43832 41.487109) scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#Inter-Regular-354\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(37.640625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5f0\" transform=\"translate(65.765625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(131.921875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(160.046875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(220.609375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-548\" transform=\"translate(248.734375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p76f9e6684e\">\n",
       "   <rect x=\"51.30957\" y=\"7.2\" width=\"297.59709\" height=\"229.99082\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pa8d6003270\">\n",
       "   <rect x=\"407.41623\" y=\"7.2\" width=\"297.59709\" height=\"229.99082\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ac = vacask.run(\n",
    "    cpw_jpa_netlist('analysis ac1 ac from=12e9 to=22e9 mode=\"lin\" points=100001')\n",
    ")[\"ac1\"]\n",
    "f_ac = jnp.asarray(ac[\"frequency\"].real)\n",
    "v_mode = jnp.abs(jnp.asarray(ac[\"2\"]))\n",
    "peaks = jnp.flatnonzero((v_mode[1:-1] > v_mode[:-2]) & (v_mode[1:-1] > v_mode[2:])) + 1\n",
    "print(\n",
    "    \"modes between 12 and 22 GHz:\", \", \".join(f\"{f_ac[p] / 1e9:.3f} GHz\" for p in peaks)\n",
    ")\n",
    "print(f\"f_s + f_p at f_s = f_0: {(F0 + F_PUMP_CPW) / 1e9:.3f} GHz\")\n",
    "\n",
    "NHARM = 5\n",
    "sidebands = list(range(-NHARM, NHARM + 1))\n",
    "f_signal = F0 + 0.01 * KAPPA\n",
    "photon_flux = {}\n",
    "for r in (0.5, 0.9):\n",
    "    group = vacask.run(\n",
    "        cpw_jpa_netlist(\n",
    "            f\"\"\"\n",
    "            analysis hbac1 hbac freq=[{F_PUMP_CPW}] nharm={NHARM} \\\\\n",
    "                outspur={format_value([[k] for k in sidebands])} values=[{f_signal}]\n",
    "            \"\"\",\n",
    "            pump=r * PUMP_THRESHOLD,\n",
    "            f_pump=F_PUMP_CPW,\n",
    "        )\n",
    "    )[\"hbac1\"]\n",
    "    photons = []\n",
    "    for k in sidebands:\n",
    "        f_k = f_signal + k * F_PUMP_CPW\n",
    "        amplitude = (reflection if k == 0 else conversion)(group[f\"in;{k}\"][0], I_SIG)\n",
    "        photons.append(jnp.sign(f_k) * jnp.abs(amplitude) ** 2 * f_signal / abs(f_k))\n",
    "    photon_flux[r] = jnp.array(photons)\n",
    "    parts = \", \".join(\n",
    "        f\"{k:+d}: {p:+.4f}\"\n",
    "        for k, p in zip(sidebands, photons, strict=True)\n",
    "        if abs(p) > 1e-4\n",
    "    )\n",
    "    print(f\"r = {r}: {parts}; sum = {photon_flux[r].sum():.6f}\")\n",
    "\n",
    "refined = vacask.run(\n",
    "    cpw_jpa_netlist(\n",
    "        f\"\"\"\n",
    "        analysis hbac1 hbac freq=[{F_PUMP_CPW}] nharm={NHARM + 4} \\\\\n",
    "            outspur={{[0]}} values=[{f_signal}]\n",
    "        \"\"\",\n",
    "        pump=0.9 * PUMP_THRESHOLD,\n",
    "        f_pump=F_PUMP_CPW,\n",
    "    )\n",
    ")[\"hbac1\"]\n",
    "basis_change = jnp.abs(\n",
    "    reflection(refined[\"in;0\"][0], I_SIG) - reflection(group[\"in;0\"][0], I_SIG)\n",
    ")\n",
    "print(f\"r = 0.9, nharm {NHARM} -> {NHARM + 4}: |ΔS_ss| = {basis_change:.1e}\")\n",
    "\n",
    "fig, (ax_modes, ax_bars) = plt.subplots(1, 2, figsize=(10, 4))\n",
    "ax_modes.semilogy(f_ac / 1e9, v_mode)\n",
    "ax_modes.axvline((F0 + F_PUMP_CPW) / 1e9, color=\"gray\", ls=\":\")\n",
    "ax_modes.annotate(\n",
    "    r\"$f_0 + f_\\text{p}$\",\n",
    "    ((F0 + F_PUMP_CPW) / 1e9, 0.95),\n",
    "    xycoords=(\"data\", \"axes fraction\"),\n",
    ")\n",
    "ax_modes.set_xlabel(\"Frequency (GHz)\")\n",
    "ax_modes.set_ylabel(r\"$|V_\\text{SQUID}|$ for 1 nA drive (V)\")\n",
    "x = jnp.arange(len(sidebands))\n",
    "for offset, (r, photons) in zip((-0.2, 0.2), photon_flux.items(), strict=True):\n",
    "    ax_bars.bar(x + offset, photons, width=0.4, label=f\"r = {r}\")\n",
    "ax_bars.set_xticks(x, [f\"{k:+d}\" for k in sidebands])\n",
    "# |k| > 3 carries under 1e-4 of the flux.\n",
    "ax_bars.set_xlim(NHARM - 3.6, NHARM + 3.6)\n",
    "ax_bars.axhline(0, color=\"black\", lw=0.8)\n",
    "ax_bars.set_xlabel(\"Sideband $k$\")\n",
    "ax_bars.set_ylabel(\"Weighted photon flux\")\n",
    "ax_bars.legend()\n",
    "fig.tight_layout()\n",
    "show_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb0bb635",
   "metadata": {},
   "source": [
    "Eq. {eq}`eq:vacask-manley-rowe` holds to $3\\times10^{-6}$ at both drives.\n",
    "At $r=0.9$ the signal and idler alone would give $-0.13$. The $3\\lambda/4$\n",
    "sidebands $k=+1$ and $k=-2$ carry most of the difference, and the\n",
    "$5\\lambda/4$ sidebands contribute $+0.041$ ($k=+2$) and $-0.025$ ($k=-3$). So the gain lost\n",
    "relative to Eq. {eq}`eq:vacask-3wm-gain` is fully accounted for by intermode\n",
    "conversion. Raising `nharm` from 5 to 9 changes the signal reflection by\n",
    "less than $10^{-9}$, so the harmonic basis is converged.\n",
    "\n",
    "```{warning}\n",
    "`hbac` linearizes around the pumped state whether or not it is stable. Above\n",
    "threshold that state is unstable and the reported gain is not physical.\n",
    "```\n",
    "\n",
    "## Route B with the SQUID attached\n",
    "\n",
    "The rational subcircuit contains only linear elements, so it works in\n",
    "harmonic balance. Its residual fit error appears as loss at the high-Q\n",
    "resonance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "574e66a6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-21T07:06:49.052107Z",
     "iopub.status.busy": "2026-10-21T07:06:49.052063Z",
     "iopub.status.idle": "2026-10-21T07:06:50.612924Z",
     "shell.execute_reply": "2026-10-21T07:06:50.612603Z"
    },
    "tags": [
     "cpw-fit-residual"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Route A: f0 = 5.91600 GHz, κ/2π = 10.24 MHz, min |Γ| = 1.000\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Route B: f0 = 5.91566 GHz, 4/(2π τ_peak) = 9.08 MHz, min |Γ| = 0.463\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"453.6pt\" height=\"338.4pt\" viewBox=\"0 0 453.6 338.4\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2026-10-21T10:06:50.419122</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.11.1, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 338.4 \n",
       "L 453.6 338.4 \n",
       "L 453.6 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 46.90957 294.79082 \n",
       "L 435.55 294.79082 \n",
       "L 435.55 7.2 \n",
       "L 46.90957 7.2 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path d=\"M 72.818932 294.79082 \n",
       "L 72.818932 7.2 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path id=\"m25893195eb\" d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#m25893195eb\" x=\"72.818932\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- $\\mathdefault{5.86}$ -->\n",
       "      <g transform=\"translate(62.168932 311.47832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-543\" d=\"M 1863 -63 \n",
       "Q 1453 -63 1128 98 \n",
       "Q 803 259 609 539 \n",
       "Q 416 819 400 1175 \n",
       "L 975 1175 \n",
       "Q 1003 863 1258 661 \n",
       "Q 1513 459 1863 459 \n",
       "Q 2144 459 2364 590 \n",
       "Q 2584 722 2709 953 \n",
       "Q 2834 1184 2834 1478 \n",
       "Q 2834 1778 2703 2015 \n",
       "Q 2572 2253 2345 2389 \n",
       "Q 2119 2525 1825 2525 \n",
       "Q 1609 2525 1387 2456 \n",
       "Q 1166 2388 1028 2281 \n",
       "L 472 2350 \n",
       "L 747 4656 \n",
       "L 3197 4656 \n",
       "L 3197 4134 \n",
       "L 1247 4134 \n",
       "L 1088 2775 \n",
       "L 1113 2775 \n",
       "Q 1256 2894 1475 2970 \n",
       "Q 1694 3047 1934 3047 \n",
       "Q 2363 3047 2697 2845 \n",
       "Q 3031 2644 3223 2291 \n",
       "Q 3416 1938 3416 1488 \n",
       "Q 3416 1041 3214 691 \n",
       "Q 3013 341 2663 139 \n",
       "Q 2313 -63 1863 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-5de\" d=\"M 922 -41 \n",
       "Q 747 -41 623 82 \n",
       "Q 500 206 500 381 \n",
       "Q 500 556 623 679 \n",
       "Q 747 803 922 803 \n",
       "Q 1097 803 1220 679 \n",
       "Q 1344 556 1344 381 \n",
       "Q 1344 206 1220 82 \n",
       "Q 1097 -41 922 -41 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-547\" d=\"M 1978 -63 \n",
       "Q 1506 -63 1145 104 \n",
       "Q 784 272 582 565 \n",
       "Q 381 859 381 1238 \n",
       "Q 381 1531 500 1782 \n",
       "Q 619 2034 825 2203 \n",
       "Q 1031 2372 1291 2419 \n",
       "L 1291 2444 \n",
       "Q 950 2531 750 2822 \n",
       "Q 550 3113 550 3481 \n",
       "Q 550 3838 734 4117 \n",
       "Q 919 4397 1241 4558 \n",
       "Q 1563 4719 1978 4719 \n",
       "Q 2388 4719 2709 4558 \n",
       "Q 3031 4397 3217 4117 \n",
       "Q 3403 3838 3403 3481 \n",
       "Q 3403 3113 3201 2822 \n",
       "Q 3000 2531 2669 2444 \n",
       "L 2669 2419 \n",
       "Q 2922 2372 3128 2203 \n",
       "Q 3334 2034 3456 1782 \n",
       "Q 3578 1531 3578 1238 \n",
       "Q 3578 859 3373 565 \n",
       "Q 3169 272 2808 104 \n",
       "Q 2447 -63 1978 -63 \n",
       "z\n",
       "M 1978 453 \n",
       "Q 2441 453 2712 676 \n",
       "Q 2984 900 2984 1269 \n",
       "Q 2984 1528 2853 1726 \n",
       "Q 2722 1925 2494 2039 \n",
       "Q 2266 2153 1978 2153 \n",
       "Q 1538 2153 1252 1904 \n",
       "Q 966 1656 966 1269 \n",
       "Q 966 900 1236 676 \n",
       "Q 1506 453 1978 453 \n",
       "z\n",
       "M 1978 2650 \n",
       "Q 2347 2650 2587 2867 \n",
       "Q 2828 3084 2828 3438 \n",
       "Q 2828 3788 2593 3997 \n",
       "Q 2359 4206 1978 4206 \n",
       "Q 1591 4206 1358 3997 \n",
       "Q 1125 3788 1125 3438 \n",
       "Q 1125 3084 1362 2867 \n",
       "Q 1600 2650 1978 2650 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-545\" d=\"M 2019 -63 \n",
       "Q 1728 -63 1437 43 \n",
       "Q 1147 150 908 400 \n",
       "Q 669 650 525 1078 \n",
       "Q 381 1506 381 2150 \n",
       "Q 381 3378 840 4048 \n",
       "Q 1300 4719 2091 4719 \n",
       "Q 2481 4719 2790 4562 \n",
       "Q 3100 4406 3297 4128 \n",
       "Q 3494 3850 3550 3484 \n",
       "L 2969 3484 \n",
       "Q 2891 3788 2672 3991 \n",
       "Q 2453 4194 2091 4194 \n",
       "Q 1553 4194 1248 3730 \n",
       "Q 944 3266 944 2425 \n",
       "L 981 2425 \n",
       "Q 1169 2716 1467 2880 \n",
       "Q 1766 3044 2128 3044 \n",
       "Q 2528 3044 2859 2847 \n",
       "Q 3191 2650 3389 2301 \n",
       "Q 3588 1953 3588 1503 \n",
       "Q 3588 1069 3394 714 \n",
       "Q 3200 359 2847 148 \n",
       "Q 2494 -63 2019 -63 \n",
       "z\n",
       "M 2019 459 \n",
       "Q 2300 459 2525 600 \n",
       "Q 2750 741 2881 977 \n",
       "Q 3013 1213 3013 1503 \n",
       "Q 3013 1788 2886 2020 \n",
       "Q 2759 2253 2537 2390 \n",
       "Q 2316 2528 2034 2528 \n",
       "Q 1753 2528 1525 2384 \n",
       "Q 1297 2241 1162 2005 \n",
       "Q 1028 1769 1028 1497 \n",
       "Q 1028 1222 1156 986 \n",
       "Q 1284 750 1509 604 \n",
       "Q 1734 459 2019 459 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(88.134766 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(150 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path d=\"M 124.637656 294.79082 \n",
       "L 124.637656 7.2 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m25893195eb\" x=\"124.637656\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- $\\mathdefault{5.88}$ -->\n",
       "      <g transform=\"translate(114.037656 311.47832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(88.134766 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(150 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path d=\"M 176.45638 294.79082 \n",
       "L 176.45638 7.2 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m25893195eb\" x=\"176.45638\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- $\\mathdefault{5.90}$ -->\n",
       "      <g transform=\"translate(165.75638 311.47832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-548\" d=\"M 1884 -63 \n",
       "Q 1488 -63 1178 93 \n",
       "Q 869 250 672 531 \n",
       "Q 475 813 419 1184 \n",
       "L 1006 1184 \n",
       "Q 1078 875 1297 669 \n",
       "Q 1516 463 1884 463 \n",
       "Q 2416 463 2723 927 \n",
       "Q 3031 1391 3031 2238 \n",
       "L 2994 2238 \n",
       "Q 2806 1953 2509 1784 \n",
       "Q 2213 1616 1847 1616 \n",
       "Q 1447 1616 1112 1814 \n",
       "Q 778 2013 579 2361 \n",
       "Q 381 2709 381 3156 \n",
       "Q 381 3591 578 3948 \n",
       "Q 775 4306 1129 4517 \n",
       "Q 1484 4728 1963 4719 \n",
       "Q 2250 4716 2537 4608 \n",
       "Q 2825 4500 3062 4253 \n",
       "Q 3300 4006 3444 3581 \n",
       "Q 3588 3156 3588 2513 \n",
       "Q 3588 1278 3131 607 \n",
       "Q 2675 -63 1884 -63 \n",
       "z\n",
       "M 1934 2134 \n",
       "Q 2219 2134 2447 2279 \n",
       "Q 2675 2425 2811 2662 \n",
       "Q 2947 2900 2947 3172 \n",
       "Q 2947 3441 2817 3673 \n",
       "Q 2688 3906 2464 4051 \n",
       "Q 2241 4197 1953 4197 \n",
       "Q 1672 4197 1448 4058 \n",
       "Q 1225 3919 1094 3683 \n",
       "Q 963 3447 963 3159 \n",
       "Q 963 2875 1089 2642 \n",
       "Q 1216 2409 1434 2271 \n",
       "Q 1653 2134 1934 2134 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"Inter-Regular-53d\" d=\"M 2019 -63 \n",
       "Q 1241 -63 811 562 \n",
       "Q 381 1188 381 2325 \n",
       "Q 381 3456 814 4087 \n",
       "Q 1247 4719 2019 4719 \n",
       "Q 2794 4719 3225 4087 \n",
       "Q 3656 3456 3656 2325 \n",
       "Q 3656 1188 3228 562 \n",
       "Q 2800 -63 2019 -63 \n",
       "z\n",
       "M 2019 456 \n",
       "Q 2531 456 2807 948 \n",
       "Q 3084 1441 3084 2325 \n",
       "Q 3084 3216 2807 3709 \n",
       "Q 2531 4203 2019 4203 \n",
       "Q 1509 4203 1231 3708 \n",
       "Q 953 3213 953 2325 \n",
       "Q 953 1441 1231 948 \n",
       "Q 1509 456 2019 456 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-548\" transform=\"translate(88.134766 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(150.146484 0.125)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path d=\"M 228.275104 294.79082 \n",
       "L 228.275104 7.2 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m25893195eb\" x=\"228.275104\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- $\\mathdefault{5.92}$ -->\n",
       "      <g transform=\"translate(217.675104 311.47832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53f\" d=\"M 481 0 \n",
       "L 481 428 \n",
       "L 2028 2106 \n",
       "Q 2288 2388 2459 2600 \n",
       "Q 2631 2813 2718 3005 \n",
       "Q 2806 3197 2806 3413 \n",
       "Q 2806 3778 2554 3990 \n",
       "Q 2303 4203 1931 4203 \n",
       "Q 1534 4203 1298 3965 \n",
       "Q 1063 3728 1063 3334 \n",
       "L 494 3334 \n",
       "Q 494 3747 684 4059 \n",
       "Q 875 4372 1203 4545 \n",
       "Q 1531 4719 1947 4719 \n",
       "Q 2363 4719 2683 4545 \n",
       "Q 3003 4372 3186 4078 \n",
       "Q 3369 3784 3369 3419 \n",
       "Q 3369 3166 3278 2927 \n",
       "Q 3188 2688 2959 2384 \n",
       "Q 2731 2081 2319 1644 \n",
       "L 1300 559 \n",
       "L 1300 522 \n",
       "L 3447 522 \n",
       "L 3447 0 \n",
       "L 481 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-548\" transform=\"translate(88.134766 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53f\" transform=\"translate(150.146484 0.125)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path d=\"M 280.093828 294.79082 \n",
       "L 280.093828 7.2 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m25893195eb\" x=\"280.093828\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- $\\mathdefault{5.94}$ -->\n",
       "      <g transform=\"translate(269.343828 311.47832) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-542\" d=\"M 375 947 \n",
       "L 375 1431 \n",
       "L 2413 4656 \n",
       "L 3134 4656 \n",
       "L 3134 1469 \n",
       "L 3766 1469 \n",
       "L 3766 947 \n",
       "L 3134 947 \n",
       "L 3134 0 \n",
       "L 2566 0 \n",
       "L 2566 947 \n",
       "L 375 947 \n",
       "z\n",
       "M 2569 1469 \n",
       "L 2569 3913 \n",
       "L 2531 3913 \n",
       "L 1009 1506 \n",
       "L 1009 1469 \n",
       "L 2569 1469 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-548\" transform=\"translate(88.134766 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-542\" transform=\"translate(150.146484 0.125)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path d=\"M 331.912552 294.79082 \n",
       "L 331.912552 7.2 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m25893195eb\" x=\"331.912552\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- $\\mathdefault{5.96}$ -->\n",
       "      <g transform=\"translate(321.262552 311.47832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-548\" transform=\"translate(88.134766 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(150.146484 0.125)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path d=\"M 383.731276 294.79082 \n",
       "L 383.731276 7.2 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m25893195eb\" x=\"383.731276\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- $\\mathdefault{5.98}$ -->\n",
       "      <g transform=\"translate(373.081276 311.47832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(0 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(59.326172 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-548\" transform=\"translate(88.134766 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(150.146484 0.125)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path d=\"M 435.55 294.79082 \n",
       "L 435.55 7.2 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#m25893195eb\" x=\"435.55\" y=\"294.79082\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- $\\mathdefault{6.00}$ -->\n",
       "      <g transform=\"translate(424.7 311.47832) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(62.011719 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(90.820312 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(153.90625 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_9\">\n",
       "     <!-- Frequency (GHz) -->\n",
       "     <g transform=\"translate(196.971113 328.54668) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-89\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 3378 4656 \n",
       "L 3378 4131 \n",
       "L 1156 4131 \n",
       "L 1156 2538 \n",
       "L 3166 2538 \n",
       "L 3166 2013 \n",
       "L 1156 2013 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-354\" d=\"M 494 0 \n",
       "L 494 3494 \n",
       "L 1038 3494 \n",
       "L 1038 2956 \n",
       "L 1075 2956 \n",
       "Q 1172 3222 1420 3383 \n",
       "Q 1669 3544 1981 3544 \n",
       "Q 2044 3544 2130 3541 \n",
       "Q 2216 3538 2266 3534 \n",
       "L 2266 2969 \n",
       "Q 2241 2975 2141 2987 \n",
       "Q 2041 3000 1928 3000 \n",
       "Q 1550 3000 1303 2770 \n",
       "Q 1056 2541 1056 2188 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-266\" d=\"M 1963 -75 \n",
       "Q 1456 -75 1089 150 \n",
       "Q 722 375 523 778 \n",
       "Q 325 1181 325 1719 \n",
       "Q 325 2256 519 2665 \n",
       "Q 713 3075 1067 3306 \n",
       "Q 1422 3538 1897 3538 \n",
       "Q 2175 3538 2445 3445 \n",
       "Q 2716 3353 2936 3148 \n",
       "Q 3156 2944 3287 2609 \n",
       "Q 3419 2275 3419 1791 \n",
       "L 3419 1556 \n",
       "L 894 1556 \n",
       "Q 916 1009 1208 717 \n",
       "Q 1500 425 1966 425 \n",
       "Q 2275 425 2498 561 \n",
       "Q 2722 697 2819 963 \n",
       "L 3363 813 \n",
       "Q 3241 416 2870 170 \n",
       "Q 2500 -75 1963 -75 \n",
       "z\n",
       "M 897 2031 \n",
       "L 2847 2031 \n",
       "Q 2806 2478 2567 2758 \n",
       "Q 2328 3038 1897 3038 \n",
       "Q 1597 3038 1380 2897 \n",
       "Q 1163 2756 1038 2528 \n",
       "Q 913 2300 897 2031 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-351\" d=\"M 3425 -1306 \n",
       "L 2863 -1306 \n",
       "L 2863 541 \n",
       "L 2819 541 \n",
       "Q 2763 444 2652 298 \n",
       "Q 2541 153 2339 39 \n",
       "Q 2138 -75 1803 -75 \n",
       "Q 1369 -75 1034 147 \n",
       "Q 700 369 512 775 \n",
       "Q 325 1181 325 1738 \n",
       "Q 325 2291 514 2695 \n",
       "Q 703 3100 1037 3319 \n",
       "Q 1372 3538 1806 3538 \n",
       "Q 2147 3538 2347 3425 \n",
       "Q 2547 3313 2655 3170 \n",
       "Q 2763 3028 2819 2934 \n",
       "L 2881 2934 \n",
       "L 2881 3494 \n",
       "L 3425 3494 \n",
       "L 3425 -1306 \n",
       "z\n",
       "M 1888 428 \n",
       "Q 2363 428 2616 793 \n",
       "Q 2869 1159 2869 1744 \n",
       "Q 2869 2322 2620 2678 \n",
       "Q 2372 3034 1888 3034 \n",
       "Q 1556 3034 1336 2862 \n",
       "Q 1116 2691 1006 2398 \n",
       "Q 897 2106 897 1744 \n",
       "Q 897 1378 1008 1079 \n",
       "Q 1119 781 1341 604 \n",
       "Q 1563 428 1888 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-393\" d=\"M 1678 -44 \n",
       "Q 1150 -44 822 284 \n",
       "Q 494 613 494 1275 \n",
       "L 494 3494 \n",
       "L 1056 3494 \n",
       "L 1056 1322 \n",
       "Q 1056 919 1268 691 \n",
       "Q 1481 463 1847 463 \n",
       "Q 2222 463 2473 708 \n",
       "Q 2725 953 2725 1400 \n",
       "L 2725 3494 \n",
       "L 3291 3494 \n",
       "L 3291 0 \n",
       "L 2747 0 \n",
       "L 2747 653 \n",
       "Q 2575 272 2298 114 \n",
       "Q 2022 -44 1678 -44 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-305\" d=\"M 1056 2094 \n",
       "L 1056 0 \n",
       "L 494 0 \n",
       "L 494 3494 \n",
       "L 1034 3494 \n",
       "L 1038 2847 \n",
       "Q 1206 3219 1479 3378 \n",
       "Q 1753 3538 2106 3538 \n",
       "Q 2638 3538 2963 3209 \n",
       "Q 3288 2881 3288 2219 \n",
       "L 3288 0 \n",
       "L 2725 0 \n",
       "L 2725 2172 \n",
       "Q 2725 2575 2514 2803 \n",
       "Q 2303 3031 1938 3031 \n",
       "Q 1559 3031 1307 2786 \n",
       "Q 1056 2541 1056 2094 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-24a\" d=\"M 1916 -75 \n",
       "Q 1441 -75 1083 150 \n",
       "Q 725 375 525 781 \n",
       "Q 325 1188 325 1725 \n",
       "Q 325 2272 525 2680 \n",
       "Q 725 3088 1083 3313 \n",
       "Q 1441 3538 1916 3538 \n",
       "Q 2422 3538 2805 3283 \n",
       "Q 3188 3028 3331 2572 \n",
       "L 2791 2419 \n",
       "Q 2713 2688 2486 2861 \n",
       "Q 2259 3034 1916 3034 \n",
       "Q 1566 3034 1341 2851 \n",
       "Q 1116 2669 1006 2372 \n",
       "Q 897 2075 897 1725 \n",
       "Q 897 1381 1006 1086 \n",
       "Q 1116 791 1341 609 \n",
       "Q 1566 428 1916 428 \n",
       "Q 2269 428 2498 608 \n",
       "Q 2728 788 2806 1072 \n",
       "L 3344 919 \n",
       "Q 3203 453 2815 189 \n",
       "Q 2428 -75 1916 -75 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-3e6\" d=\"M 438 -1266 \n",
       "L 581 -778 \n",
       "L 641 -794 \n",
       "Q 900 -863 1087 -773 \n",
       "Q 1275 -684 1403 -309 \n",
       "L 1503 -19 \n",
       "L 169 3494 \n",
       "L 784 3494 \n",
       "L 1528 1422 \n",
       "Q 1609 1194 1673 969 \n",
       "Q 1738 744 1797 525 \n",
       "Q 1856 744 1920 969 \n",
       "Q 1984 1194 2066 1422 \n",
       "L 2816 3494 \n",
       "L 3428 3494 \n",
       "L 1894 -522 \n",
       "Q 1734 -938 1478 -1134 \n",
       "Q 1222 -1331 850 -1331 \n",
       "Q 700 -1331 590 -1309 \n",
       "Q 481 -1288 438 -1266 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-6f1\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-5a6\" d=\"M 681 2191 \n",
       "Q 681 2700 786 3258 \n",
       "Q 891 3816 1072 4333 \n",
       "Q 1253 4850 1488 5235 \n",
       "L 2034 5235 \n",
       "Q 1794 4744 1617 4213 \n",
       "Q 1441 3682 1347 3164 \n",
       "Q 1253 2647 1253 2191 \n",
       "Q 1253 1569 1442 911 \n",
       "Q 1631 253 2034 -578 \n",
       "L 1488 -578 \n",
       "Q 1091 100 886 803 \n",
       "Q 681 1507 681 2191 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-8d\" d=\"M 2466 -63 \n",
       "Q 1844 -63 1375 228 \n",
       "Q 906 519 643 1055 \n",
       "Q 381 1591 381 2325 \n",
       "Q 381 3066 643 3602 \n",
       "Q 906 4138 1368 4428 \n",
       "Q 1831 4719 2428 4719 \n",
       "Q 2922 4719 3323 4526 \n",
       "Q 3725 4334 3990 3992 \n",
       "Q 4256 3650 4341 3197 \n",
       "L 3728 3197 \n",
       "Q 3584 3644 3254 3906 \n",
       "Q 2925 4169 2431 4169 \n",
       "Q 2022 4169 1687 3958 \n",
       "Q 1353 3747 1156 3336 \n",
       "Q 959 2925 959 2325 \n",
       "Q 959 1731 1157 1322 \n",
       "Q 1356 913 1697 700 \n",
       "Q 2038 488 2466 488 \n",
       "Q 2853 488 3150 650 \n",
       "Q 3447 813 3617 1113 \n",
       "Q 3788 1413 3794 1822 \n",
       "L 2588 1822 \n",
       "L 2588 2341 \n",
       "L 4375 2341 \n",
       "L 4375 1831 \n",
       "Q 4375 1253 4128 828 \n",
       "Q 3881 403 3451 170 \n",
       "Q 3022 -63 2466 -63 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-a1\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 1156 4656 \n",
       "L 1156 2644 \n",
       "L 3600 2644 \n",
       "L 3600 4656 \n",
       "L 4194 4656 \n",
       "L 4194 0 \n",
       "L 3600 0 \n",
       "L 3600 2119 \n",
       "L 1156 2119 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-3fe\" d=\"M 394 0 \n",
       "L 394 419 \n",
       "L 2353 2938 \n",
       "L 2353 2972 \n",
       "L 456 2972 \n",
       "L 456 3494 \n",
       "L 3078 3494 \n",
       "L 3078 3047 \n",
       "L 1175 556 \n",
       "L 1175 522 \n",
       "L 3141 522 \n",
       "L 3141 0 \n",
       "L 394 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-5a7\" d=\"M 300 -578 \n",
       "Q 716 278 898 933 \n",
       "Q 1081 1588 1081 2191 \n",
       "Q 1081 2647 987 3164 \n",
       "Q 894 3682 719 4213 \n",
       "Q 544 4744 300 5235 \n",
       "L 847 5235 \n",
       "Q 1081 4850 1264 4333 \n",
       "Q 1447 3816 1550 3256 \n",
       "Q 1653 2697 1653 2191 \n",
       "Q 1653 1494 1445 791 \n",
       "Q 1238 88 847 -578 \n",
       "L 300 -578 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-89\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-354\" transform=\"translate(56.109375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(92.09375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-351\" transform=\"translate(150.390625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(211.625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(270.75 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-305\" transform=\"translate(329.046875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-24a\" transform=\"translate(388.125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3e6\" transform=\"translate(443.296875 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(499.5 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5a6\" transform=\"translate(527.625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-8d\" transform=\"translate(564.09375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-a1\" transform=\"translate(638.703125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-3fe\" transform=\"translate(713.015625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-5a7\" transform=\"translate(768.234375 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path d=\"M 46.90957 263.586922 \n",
       "L 435.55 263.586922 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <defs>\n",
       "       <path id=\"mb45259ad0c\" d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#mb45259ad0c\" x=\"46.90957\" y=\"263.586922\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- $\\mathdefault{0.5}$ -->\n",
       "      <g transform=\"translate(24.70957 268.430672) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-543\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path d=\"M 46.90957 214.924 \n",
       "L 435.55 214.924 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mb45259ad0c\" x=\"46.90957\" y=\"214.924\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- $\\mathdefault{0.6}$ -->\n",
       "      <g transform=\"translate(24.50957 219.76775) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-545\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path d=\"M 46.90957 166.261077 \n",
       "L 435.55 166.261077 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mb45259ad0c\" x=\"46.90957\" y=\"166.261077\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- $\\mathdefault{0.7}$ -->\n",
       "      <g transform=\"translate(25.00957 171.104827) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-546\" d=\"M 625 0 \n",
       "L 2694 4097 \n",
       "L 2694 4134 \n",
       "L 306 4134 \n",
       "L 306 4656 \n",
       "L 3316 4656 \n",
       "L 3316 4103 \n",
       "L 1250 0 \n",
       "L 625 0 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-546\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path d=\"M 46.90957 117.598154 \n",
       "L 435.55 117.598154 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mb45259ad0c\" x=\"46.90957\" y=\"117.598154\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- $\\mathdefault{0.8}$ -->\n",
       "      <g transform=\"translate(24.50957 122.441904) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-547\" transform=\"translate(91.894531 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path d=\"M 46.90957 68.935231 \n",
       "L 435.55 68.935231 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mb45259ad0c\" x=\"46.90957\" y=\"68.935231\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- $\\mathdefault{0.9}$ -->\n",
       "      <g transform=\"translate(24.50957 73.778981) scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(0 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(63.085938 0.125)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-548\" transform=\"translate(91.894531 0.125)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <path d=\"M 46.90957 20.272308 \n",
       "L 435.55 20.272308 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke-dasharray: 1.85,0.8; stroke-dashoffset: 0; stroke: #b0b0b0; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mb45259ad0c\" x=\"46.90957\" y=\"20.272308\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- $\\mathdefault{1.0}$ -->\n",
       "      <g transform=\"translate(26.60957 25.116058) scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"Inter-Regular-53e\" d=\"M 2041 4656 \n",
       "L 2041 0 \n",
       "L 1456 0 \n",
       "L 1456 4106 \n",
       "L 1425 4106 \n",
       "L 300 3272 \n",
       "L 300 3909 \n",
       "L 1313 4656 \n",
       "L 2041 4656 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#Inter-Regular-53e\" transform=\"translate(0 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-5de\" transform=\"translate(40.673828 0.265625)\"/>\n",
       "       <use xlink:href=\"#Inter-Regular-53d\" transform=\"translate(69.482422 0.265625)\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- $|\\Gamma|$ -->\n",
       "     <g transform=\"translate(17.85625 158.25541) rotate(-90) scale(0.11 -0.11)\">\n",
       "      <defs>\n",
       "       <path id=\"FiraMath-Regular-5d\" d=\"M 1555 4774 \n",
       "L 1024 4774 \n",
       "L 1024 -1190 \n",
       "L 1555 -1190 \n",
       "L 1555 4774 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"FiraMath-Regular-164\" d=\"M 3187 4410 \n",
       "L 640 4410 \n",
       "L 640 0 \n",
       "L 1248 0 \n",
       "L 1248 3885 \n",
       "L 3098 3885 \n",
       "L 3187 4410 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#FiraMath-Regular-5d\" transform=\"translate(0 0.40625)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-164\" transform=\"translate(40.299957 0.40625)\"/>\n",
       "      <use xlink:href=\"#FiraMath-Regular-5d\" transform=\"translate(91.099915 0.40625)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_29\">\n",
       "    <path d=\"M 46.90957 20.272311 \n",
       "L 435.55 20.27231 \n",
       "L 435.55 20.27231 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_30\">\n",
       "    <path d=\"M 46.90957 22.983768 \n",
       "L 67.240511 23.623602 \n",
       "L 83.231663 24.341331 \n",
       "L 96.157757 25.13688 \n",
       "L 106.840116 26.010643 \n",
       "L 115.825423 26.962753 \n",
       "L 123.499725 27.994069 \n",
       "L 130.142841 29.106253 \n",
       "L 135.956863 30.300635 \n",
       "L 141.097246 31.579589 \n",
       "L 145.683172 32.946014 \n",
       "L 149.810506 34.40449 \n",
       "L 153.554384 35.960361 \n",
       "L 156.976988 37.62106 \n",
       "L 160.127546 39.394883 \n",
       "L 163.047511 41.292402 \n",
       "L 165.773158 43.327754 \n",
       "L 168.332986 45.516312 \n",
       "L 170.752904 47.878154 \n",
       "L 173.051049 50.43269 \n",
       "L 175.248148 53.209214 \n",
       "L 177.357156 56.235503 \n",
       "L 179.391028 59.546568 \n",
       "L 181.360126 63.181654 \n",
       "L 183.274815 67.189241 \n",
       "L 185.140277 71.61637 \n",
       "L 186.966875 76.532553 \n",
       "L 188.759791 82.007338 \n",
       "L 190.524206 88.12216 \n",
       "L 192.265304 94.972027 \n",
       "L 193.990856 102.679316 \n",
       "L 195.708635 111.38889 \n",
       "L 197.429005 121.285294 \n",
       "L 199.16233 132.583626 \n",
       "L 200.929337 145.604555 \n",
       "L 202.761116 160.803606 \n",
       "L 204.722442 179.000281 \n",
       "L 207.012814 202.446779 \n",
       "L 212.412289 258.705091 \n",
       "L 213.645567 268.701752 \n",
       "L 214.609389 274.833114 \n",
       "L 215.386664 278.467218 \n",
       "L 216.016258 280.452371 \n",
       "L 216.516305 281.38044 \n",
       "L 216.904943 281.693848 \n",
       "L 217.218444 281.684057 \n",
       "L 217.537127 281.433757 \n",
       "L 217.917992 280.819259 \n",
       "L 218.386948 279.599645 \n",
       "L 218.962132 277.431036 \n",
       "L 219.661681 273.857482 \n",
       "L 220.514093 268.258546 \n",
       "L 221.571188 259.730833 \n",
       "L 222.95992 246.570599 \n",
       "L 225.182929 223.068123 \n",
       "L 229.035625 182.489821 \n",
       "L 231.180906 162.361706 \n",
       "L 233.126686 146.144265 \n",
       "L 234.984375 132.479337 \n",
       "L 236.800609 120.732213 \n",
       "L 238.596116 110.541657 \n",
       "L 240.389032 101.620713 \n",
       "L 242.18713 93.779451 \n",
       "L 244.000773 86.846233 \n",
       "L 245.835144 80.696131 \n",
       "L 247.698014 75.215076 \n",
       "L 249.594567 70.314783 \n",
       "L 251.532574 65.9147 \n",
       "L 253.517218 61.953105 \n",
       "L 255.556271 58.373096 \n",
       "L 257.660098 55.123727 \n",
       "L 259.83906 52.163721 \n",
       "L 262.106114 49.456539 \n",
       "L 264.476805 46.970532 \n",
       "L 266.966678 44.681056 \n",
       "L 269.596461 42.564886 \n",
       "L 272.392063 40.601381 \n",
       "L 275.379392 38.776062 \n",
       "L 278.594722 37.073751 \n",
       "L 282.076917 35.484009 \n",
       "L 285.875205 33.997213 \n",
       "L 290.043993 32.607253 \n",
       "L 294.655829 31.3074 \n",
       "L 299.798803 30.092811 \n",
       "L 305.579143 28.960497 \n",
       "L 312.136759 27.907301 \n",
       "L 319.647833 26.93143 \n",
       "L 328.345548 26.031314 \n",
       "L 338.543405 25.205708 \n",
       "L 350.674087 24.45356 \n",
       "L 365.349052 23.774079 \n",
       "L 383.459575 23.166669 \n",
       "L 406.360707 22.630726 \n",
       "L 435.55 22.173928 \n",
       "L 435.55 22.173928 \n",
       "\" clip-path=\"url(#p861e7e63b3)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 46.90957 294.79082 \n",
       "L 46.90957 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 435.55 294.79082 \n",
       "L 435.55 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 46.90957 294.79082 \n",
       "L 435.55 294.79082 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 46.90957 7.2 \n",
       "L 435.55 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 1.2; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"line2d_31\">\n",
       "     <path d=\"M 54.40957 264.279102 \n",
       "L 64.40957 264.279102 \n",
       "L 74.40957 264.279102 \n",
       "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "    </g>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- Route A -->\n",
       "     <g transform=\"translate(82.40957 267.779102) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-180\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 2156 4656 \n",
       "Q 2700 4656 3051 4470 \n",
       "Q 3403 4284 3573 3959 \n",
       "Q 3744 3634 3744 3219 \n",
       "Q 3744 2756 3533 2412 \n",
       "Q 3322 2069 2881 1916 \n",
       "L 3925 0 \n",
       "L 3238 0 \n",
       "L 2269 1809 \n",
       "Q 2216 1806 2159 1806 \n",
       "L 1156 1806 \n",
       "L 1156 0 \n",
       "L 563 0 \n",
       "z\n",
       "M 1156 2334 \n",
       "L 2131 2334 \n",
       "Q 2681 2334 2917 2571 \n",
       "Q 3153 2809 3153 3219 \n",
       "Q 3153 3634 2917 3884 \n",
       "Q 2681 4134 2125 4134 \n",
       "L 1156 4134 \n",
       "L 1156 2334 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-316\" d=\"M 1916 -75 \n",
       "Q 1441 -75 1083 150 \n",
       "Q 725 375 525 781 \n",
       "Q 325 1188 325 1725 \n",
       "Q 325 2272 525 2680 \n",
       "Q 725 3088 1083 3313 \n",
       "Q 1441 3538 1916 3538 \n",
       "Q 2394 3538 2753 3313 \n",
       "Q 3113 3088 3313 2680 \n",
       "Q 3513 2272 3513 1725 \n",
       "Q 3513 1188 3313 781 \n",
       "Q 3113 375 2753 150 \n",
       "Q 2394 -75 1916 -75 \n",
       "z\n",
       "M 1916 428 \n",
       "Q 2269 428 2497 609 \n",
       "Q 2725 791 2834 1086 \n",
       "Q 2944 1381 2944 1725 \n",
       "Q 2944 2072 2834 2370 \n",
       "Q 2725 2669 2497 2851 \n",
       "Q 2269 3034 1916 3034 \n",
       "Q 1566 3034 1341 2851 \n",
       "Q 1116 2669 1006 2372 \n",
       "Q 897 2075 897 1725 \n",
       "Q 897 1381 1006 1086 \n",
       "Q 1116 791 1341 609 \n",
       "Q 1566 428 1916 428 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-379\" d=\"M 1869 3494 \n",
       "L 1869 3013 \n",
       "L 1150 3013 \n",
       "L 1150 906 \n",
       "Q 1150 672 1245 564 \n",
       "Q 1341 456 1563 456 \n",
       "Q 1616 456 1698 468 \n",
       "Q 1781 481 1850 494 \n",
       "L 1966 19 \n",
       "Q 1878 -13 1767 -28 \n",
       "Q 1656 -44 1547 -44 \n",
       "Q 1094 -44 841 195 \n",
       "Q 588 434 588 863 \n",
       "L 588 3013 \n",
       "L 63 3013 \n",
       "L 63 3494 \n",
       "L 588 3494 \n",
       "L 588 4325 \n",
       "L 1150 4325 \n",
       "L 1150 3494 \n",
       "L 1869 3494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"Inter-Regular-2\" d=\"M 163 0 \n",
       "L 1853 4656 \n",
       "L 2541 4656 \n",
       "L 4253 0 \n",
       "L 3628 0 \n",
       "L 3163 1300 \n",
       "L 1244 1300 \n",
       "L 794 0 \n",
       "L 163 0 \n",
       "z\n",
       "M 1425 1819 \n",
       "L 2978 1819 \n",
       "L 2641 2763 \n",
       "Q 2556 2997 2450 3336 \n",
       "Q 2344 3675 2194 4181 \n",
       "Q 2047 3666 1937 3322 \n",
       "Q 1828 2978 1753 2763 \n",
       "L 1425 1819 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-180\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(62.890625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(122.859375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(181.984375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(213.734375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(272.03125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-2\" transform=\"translate(300.15625 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_32\">\n",
       "     <path d=\"M 54.40957 281.378711 \n",
       "L 64.40957 281.378711 \n",
       "L 74.40957 281.378711 \n",
       "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "    </g>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- Route B -->\n",
       "     <g transform=\"translate(82.40957 284.878711) scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path id=\"Inter-Regular-41\" d=\"M 563 0 \n",
       "L 563 4656 \n",
       "L 2213 4656 \n",
       "Q 2700 4656 3017 4489 \n",
       "Q 3334 4322 3489 4042 \n",
       "Q 3644 3763 3644 3422 \n",
       "Q 3644 3122 3537 2926 \n",
       "Q 3431 2731 3257 2615 \n",
       "Q 3084 2500 2881 2444 \n",
       "L 2881 2400 \n",
       "Q 3100 2388 3317 2250 \n",
       "Q 3534 2113 3679 1859 \n",
       "Q 3825 1606 3825 1241 \n",
       "Q 3825 891 3664 609 \n",
       "Q 3503 328 3159 164 \n",
       "Q 2816 0 2266 0 \n",
       "L 563 0 \n",
       "z\n",
       "M 1156 525 \n",
       "L 2250 525 \n",
       "Q 2794 525 3023 734 \n",
       "Q 3253 944 3253 1247 \n",
       "Q 3253 1481 3134 1678 \n",
       "Q 3016 1875 2798 1994 \n",
       "Q 2581 2113 2281 2113 \n",
       "L 1156 2113 \n",
       "L 1156 525 \n",
       "z\n",
       "M 1156 2613 \n",
       "L 2181 2613 \n",
       "Q 2556 2613 2815 2831 \n",
       "Q 3075 3050 3075 3409 \n",
       "Q 3075 3713 2864 3922 \n",
       "Q 2653 4131 2200 4131 \n",
       "L 1156 4131 \n",
       "L 1156 2613 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#Inter-Regular-180\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-316\" transform=\"translate(62.890625 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-393\" transform=\"translate(122.859375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-379\" transform=\"translate(181.984375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-266\" transform=\"translate(213.734375 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-6f1\" transform=\"translate(272.03125 0)\"/>\n",
       "      <use xlink:href=\"#Inter-Regular-41\" transform=\"translate(300.15625 0)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p861e7e63b3\">\n",
       "   <rect x=\"46.90957\" y=\"7.2\" width=\"388.64043\" height=\"287.59082\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "for route in \"AB\":\n",
    "    ac = vacask.run(\n",
    "        cpw_jpa_netlist(\n",
    "            'analysis ac1 ac from=5.85e9 to=6.0e9 mode=\"lin\" points=150001',\n",
    "            route=route,\n",
    "        )\n",
    "    )[\"ac1\"]\n",
    "    f = jnp.asarray(ac[\"frequency\"].real)\n",
    "    gamma = reflection(ac[\"in\"], I_SIG)\n",
    "    f0, delay_width = resonance(f, gamma)\n",
    "    metric = \"κ/2π\" if route == \"A\" else \"4/(2π τ_peak)\"\n",
    "    print(\n",
    "        f\"Route {route}: f0 = {f0 / 1e9:.5f} GHz, {metric} = {delay_width / 1e6:.2f} MHz, \"\n",
    "        f\"min |Γ| = {jnp.abs(gamma).min():.3f}\"\n",
    "    )\n",
    "    ax.plot(f / 1e9, jnp.abs(gamma), label=f\"Route {route}\")\n",
    "ax.set_xlabel(\"Frequency (GHz)\")\n",
    "ax.set_ylabel(r\"$|\\Gamma|$\")\n",
    "ax.legend()\n",
    "show_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e4a09fc",
   "metadata": {},
   "source": [
    "Route B gives min $|\\Gamma|=0.463$ at resonance. Its $10^{-3}$ S-parameter\n",
    "error introduces appreciable loss in a $Q\\approx580$ resonator. Its\n",
    "$4/(2\\pi\\tau_\\text{peak})=9.08$ MHz is an effective group-delay quantity, not\n",
    "a loaded linewidth. The lossless identity used for Route A no longer applies.\n",
    "Use Route A, or tighten the fit near resonance, when the line sets amplifier\n",
    "$Q$.\n",
    "\n",
    "## Limitations\n",
    "\n",
    "- **Classical.** HB gives classical gain and conversion. It does not give\n",
    "  added noise or squeezing ({cite:t}`clerkIntroductionQuantumNoise2010`;\n",
    "  {cite:t}`royIntroductionParametricAmplification2016`). The junction shunt\n",
    "  conductance is noiseless.\n",
    "- **Threshold and stability.** The single-mode threshold comes from AC scans.\n",
    "  It assumes a purely phase-modulated resonance. `hbac` linearizes around the\n",
    "  pumped state whether or not it is stable. Above threshold the reported gain\n",
    "  is not physical.\n",
    "- **Route B fit loss.** A $10^{-3}$ rational fit adds appreciable loss in this\n",
    "  $Q\\approx580$ resonator. Its group delay cannot be read as a lossless\n",
    "  linewidth. The fit covers 10 MHz to 70 GHz.\n",
    "- **Multimode gain.** Eq. {eq}`eq:vacask-3wm-gain` ignores the higher line\n",
    "  modes, so it overestimates the gain of this resonator. Its threshold is\n",
    "  also only an estimate. A design that needs single-mode behaviour should\n",
    "  detune the $3\\lambda/4$ mode from $3f_0$, for example with a larger\n",
    "  SQUID participation or a stepped-impedance line.\n",
    "- **Junction and SQUID models.** RCSJ keeps only the first Josephson harmonic\n",
    "  {cite:p}`McCumber1968,tinkhamIntroductionSuperconductivity2015`; real\n",
    "  junctions show higher ones\n",
    "  {cite:p}`willschObservationJosephsonHarmonics2024`. The SQUID model\n",
    "  neglects loop inductance and asymmetry.\n",
    "\n",
    "## References\n",
    "\n",
    "```{bibliography}\n",
    ":filter: docname in docnames\n",
    "```"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.15"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}