docs/source/tutorials/nnvqe_cn.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "64ba95d6",
   "metadata": {},
   "source": [
    "# <center> 神经网络编码的变分量子本征值求解器（NN-VQE）"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b65f64bf",
   "metadata": {},
   "source": [
    "## 概述\n",
    "\n",
    "在本教程中，我们将使用TensorCircuit展示一个量子计算通用框架——神经网络编码的变分量子算法（neural network encoded variational quantum algorithms，NN-VQAs）。NN-VQA将一个给定问题的参量（如哈密顿量的参数）作为神经网络的输入，并使用其输出来参数化标准的变分量子算法（variational quantum algorithms，VQAs）的线路拟设（ansatz circuit）。在本文中，我们以神经网络编码的变分量子本征值求解器（NN-variational quantum eigensolver，NN-VQE）来具体说明。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "831930ae",
   "metadata": {},
   "source": [
    "## 设置"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4e1651b9",
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import tensorflow as tf\n",
    "import tensorcircuit as tc\n",
    "import cotengra\n",
    "import quimb\n",
    "from tqdm.notebook import tqdm\n",
    "from functools import partial\n",
    "\n",
    "optc = cotengra.ReusableHyperOptimizer(\n",
    "    methods=[\"greedy\"],\n",
    "    parallel=\"ray\",\n",
    "    minimize=\"combo\",\n",
    "    max_time=30,\n",
    "    max_repeats=1024,\n",
    "    progbar=True,\n",
    ")\n",
    "tc.set_contractor(\"custom\", optimizer=optc, preprocessing=True)\n",
    "\n",
    "K = tc.set_backend(\"tensorflow\")\n",
    "tc.set_dtype(\"complex128\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "d78b480b",
   "metadata": {},
   "source": [
    "## 能量\n",
    "\n",
    "本教程所使用的哈密顿量是具有周期性边界条件的一维XXZ伊辛模型。它具有横向场强$\\lambda$和各向异性参数$\\Delta$。我们选择哈密顿量的能量期望函数作为损失函数。\n",
    "\n",
    "$$ \\hat{H}_{XXZ}=\\sum_{i}{ \\left( X_{i}X_{i+1}+Y_{i}Y_{i+1}+\\Delta Z_{i}Z_{i+1} \\right) } + \\lambda \\sum_{i}{Z_{i}} $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "fff67346",
   "metadata": {},
   "outputs": [],
   "source": [
    "def energy(c: tc.Circuit, lamb: float = 1.0, delta: float = 1.0):\n",
    "    e = 0.0\n",
    "    n = c._nqubits\n",
    "    for i in range(n):\n",
    "        e += lamb * c.expectation((tc.gates.z(), [i]))  # <Z_i>\n",
    "    for i in range(n):\n",
    "        e += c.expectation(\n",
    "            (tc.gates.x(), [i]), (tc.gates.x(), [(i + 1) % n])\n",
    "        )  # <X_i X_{i+1}>\n",
    "        e += c.expectation(\n",
    "            (tc.gates.y(), [i]), (tc.gates.y(), [(i + 1) % n])\n",
    "        )  # <Y_i Y_{i+1}>\n",
    "        e += delta * c.expectation(\n",
    "            (tc.gates.z(), [i]), (tc.gates.z(), [(i + 1) % n])\n",
    "        )  # <Z_i Z_{i+1}>\n",
    "    return K.real(e)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "0ad6a7a6",
   "metadata": {},
   "source": [
    "## 线路拟设\n",
    "\n",
    "现在我们来设计线路。我们选择多尺度纠缠重整化拟设（multi-scale entangled renormalization ansatz，MERA）作为线路拟设，其中$d$为线路深度。（详见[MERA教程](https://tensorcircuit.readthedocs.io/zh/latest/tutorials/mera_cn.html)）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "445b7c86",
   "metadata": {},
   "outputs": [],
   "source": [
    "def MERA(inp, n, d=1, lamb=1.0, energy_flag=False):  # 对于单变量一维XXZ模型，我们固定lamb\n",
    "    params = K.cast(inp[\"params\"], \"complex128\")\n",
    "    delta = K.cast(inp[\"delta\"], \"complex128\")\n",
    "    c = tc.Circuit(n)\n",
    "\n",
    "    idx = 0\n",
    "\n",
    "    for i in range(n):\n",
    "        c.rx(i, theta=params[3 * i])\n",
    "        c.rz(i, theta=params[3 * i + 1])\n",
    "        c.rx(i, theta=params[3 * i + 2])\n",
    "    idx += 3 * n\n",
    "\n",
    "    for n_layer in range(1, int(np.log2(n)) + 1):\n",
    "        n_qubit = 2**n_layer  # 涉及的量子比特数\n",
    "        step = int(n / n_qubit)\n",
    "\n",
    "        for _ in range(d):  # 线路深度\n",
    "            # 偶数层\n",
    "            for i in range(step, n - step, 2 * step):\n",
    "                c.rxx(i, i + step, theta=params[idx])\n",
    "                c.rzz(i, i + step, theta=params[idx + 1])\n",
    "                idx += 2\n",
    "\n",
    "            # 奇数层\n",
    "            for i in range(0, n, 2 * step):\n",
    "                c.rxx(i, i + step, theta=params[idx])\n",
    "                c.rzz(i, i + step, theta=params[idx + 1])\n",
    "                idx += 2\n",
    "\n",
    "            # 单比特门\n",
    "            for i in range(0, n, step):\n",
    "                c.rx(i, theta=params[idx])\n",
    "                c.rz(i, theta=params[idx + 1])\n",
    "                idx += 2\n",
    "\n",
    "    if energy_flag:\n",
    "        return energy(c, lamb, delta)  # 返回哈密顿量的能量期望\n",
    "    else:\n",
    "        return c, idx  # 返回线路&线路参量数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "6daa2f64",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The number of parameters is 74\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"1170.605021pt\" height=\"396.188395pt\" viewBox=\"0 0 1170.605021 396.188395\" 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>2023-08-06T16:31:47.918946</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.5.3, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 396.188395 \n",
       "L 1170.605021 396.188395 \n",
       "L 1170.605021 -0 \n",
       "L 0 -0 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"line2d_1\">\n",
       "    <path d=\"M 63.490835 43.5608 \n",
       "L 1158.859921 43.5608 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_2\">\n",
       "    <path d=\"M 63.490835 89.011799 \n",
       "L 1158.859921 89.011799 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_3\">\n",
       "    <path d=\"M 63.490835 134.462798 \n",
       "L 1158.859921 134.462798 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_4\">\n",
       "    <path d=\"M 63.490835 179.913798 \n",
       "L 1158.859921 179.913798 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_5\">\n",
       "    <path d=\"M 63.490835 225.364797 \n",
       "L 1158.859921 225.364797 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_6\">\n",
       "    <path d=\"M 63.490835 270.815796 \n",
       "L 1158.859921 270.815796 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_7\">\n",
       "    <path d=\"M 63.490835 316.266796 \n",
       "L 1158.859921 316.266796 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_8\">\n",
       "    <path d=\"M 63.490835 361.717795 \n",
       "L 1158.859921 361.717795 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_9\">\n",
       "    <path d=\"M 292.563872 225.364797 \n",
       "L 292.563872 43.5608 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #bb8bff; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_10\">\n",
       "    <path d=\"M 519.818869 225.364797 \n",
       "L 519.818869 134.462798 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #bb8bff; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_11\">\n",
       "    <path d=\"M 656.171868 134.462798 \n",
       "L 656.171868 43.5608 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #bb8bff; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_12\">\n",
       "    <path d=\"M 656.171868 316.266796 \n",
       "L 656.171868 225.364797 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #bb8bff; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_13\">\n",
       "    <path d=\"M 883.426865 134.462798 \n",
       "L 883.426865 89.011799 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #bb8bff; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_14\">\n",
       "    <path d=\"M 883.426865 225.364797 \n",
       "L 883.426865 179.913798 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #bb8bff; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path d=\"M 883.426865 316.266796 \n",
       "L 883.426865 270.815796 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #bb8bff; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path d=\"M 1019.779863 89.011799 \n",
       "L 1019.779863 43.5608 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #bb8bff; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_17\">\n",
       "    <path d=\"M 1019.779863 179.913798 \n",
       "L 1019.779863 134.462798 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #bb8bff; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_18\">\n",
       "    <path d=\"M 1019.779863 270.815796 \n",
       "L 1019.779863 225.364797 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #bb8bff; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_19\">\n",
       "    <path d=\"M 1019.779863 361.717795 \n",
       "L 1019.779863 316.266796 \n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: none; stroke: #bb8bff; stroke-width: 2; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 73.2628 58.332374 \n",
       "L 102.80595 58.332374 \n",
       "L 102.80595 28.789225 \n",
       "L 73.2628 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 73.2628 103.783374 \n",
       "L 102.80595 103.783374 \n",
       "L 102.80595 74.240224 \n",
       "L 73.2628 74.240224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 73.2628 149.234373 \n",
       "L 102.80595 149.234373 \n",
       "L 102.80595 119.691224 \n",
       "L 73.2628 119.691224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 73.2628 194.685373 \n",
       "L 102.80595 194.685373 \n",
       "L 102.80595 165.142223 \n",
       "L 73.2628 165.142223 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 73.2628 240.136372 \n",
       "L 102.80595 240.136372 \n",
       "L 102.80595 210.593222 \n",
       "L 73.2628 210.593222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 73.2628 285.587371 \n",
       "L 102.80595 285.587371 \n",
       "L 102.80595 256.044222 \n",
       "L 73.2628 256.044222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 73.2628 331.038371 \n",
       "L 102.80595 331.038371 \n",
       "L 102.80595 301.495221 \n",
       "L 73.2628 301.495221 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 73.2628 376.48937 \n",
       "L 102.80595 376.48937 \n",
       "L 102.80595 346.94622 \n",
       "L 73.2628 346.94622 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 118.7138 58.332374 \n",
       "L 148.256949 58.332374 \n",
       "L 148.256949 28.789225 \n",
       "L 118.7138 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 118.7138 103.783374 \n",
       "L 148.256949 103.783374 \n",
       "L 148.256949 74.240224 \n",
       "L 118.7138 74.240224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 118.7138 149.234373 \n",
       "L 148.256949 149.234373 \n",
       "L 148.256949 119.691224 \n",
       "L 118.7138 119.691224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path d=\"M 118.7138 194.685373 \n",
       "L 148.256949 194.685373 \n",
       "L 148.256949 165.142223 \n",
       "L 118.7138 165.142223 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path d=\"M 118.7138 240.136372 \n",
       "L 148.256949 240.136372 \n",
       "L 148.256949 210.593222 \n",
       "L 118.7138 210.593222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 118.7138 285.587371 \n",
       "L 148.256949 285.587371 \n",
       "L 148.256949 256.044222 \n",
       "L 118.7138 256.044222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 118.7138 331.038371 \n",
       "L 148.256949 331.038371 \n",
       "L 148.256949 301.495221 \n",
       "L 118.7138 301.495221 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_17\">\n",
       "    <path d=\"M 118.7138 376.48937 \n",
       "L 148.256949 376.48937 \n",
       "L 148.256949 346.94622 \n",
       "L 118.7138 346.94622 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_18\">\n",
       "    <path d=\"M 164.164799 58.332374 \n",
       "L 193.707949 58.332374 \n",
       "L 193.707949 28.789225 \n",
       "L 164.164799 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_19\">\n",
       "    <path d=\"M 164.164799 103.783374 \n",
       "L 193.707949 103.783374 \n",
       "L 193.707949 74.240224 \n",
       "L 164.164799 74.240224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_20\">\n",
       "    <path d=\"M 164.164799 149.234373 \n",
       "L 193.707949 149.234373 \n",
       "L 193.707949 119.691224 \n",
       "L 164.164799 119.691224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_21\">\n",
       "    <path d=\"M 164.164799 194.685373 \n",
       "L 193.707949 194.685373 \n",
       "L 193.707949 165.142223 \n",
       "L 164.164799 165.142223 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_22\">\n",
       "    <path d=\"M 164.164799 240.136372 \n",
       "L 193.707949 240.136372 \n",
       "L 193.707949 210.593222 \n",
       "L 164.164799 210.593222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_23\">\n",
       "    <path d=\"M 164.164799 285.587371 \n",
       "L 193.707949 285.587371 \n",
       "L 193.707949 256.044222 \n",
       "L 164.164799 256.044222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_24\">\n",
       "    <path d=\"M 164.164799 331.038371 \n",
       "L 193.707949 331.038371 \n",
       "L 193.707949 301.495221 \n",
       "L 164.164799 301.495221 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_25\">\n",
       "    <path d=\"M 164.164799 376.48937 \n",
       "L 193.707949 376.48937 \n",
       "L 193.707949 346.94622 \n",
       "L 164.164799 346.94622 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_26\">\n",
       "    <path d=\"M 205.509301 240.136372 \n",
       "L 243.265446 240.136372 \n",
       "L 243.265446 28.789225 \n",
       "L 205.509301 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_27\">\n",
       "    <path d=\"M 292.563872 47.992272 \n",
       "C 293.739113 47.992272 294.866376 47.525344 295.697397 46.694324 \n",
       "C 296.528417 45.863303 296.995345 44.73604 296.995345 43.5608 \n",
       "C 296.995345 42.385559 296.528417 41.258296 295.697397 40.427275 \n",
       "C 294.866376 39.596255 293.739113 39.129327 292.563872 39.129327 \n",
       "C 291.388632 39.129327 290.261369 39.596255 289.430348 40.427275 \n",
       "C 288.599328 41.258296 288.1324 42.385559 288.1324 43.5608 \n",
       "C 288.1324 44.73604 288.599328 45.863303 289.430348 46.694324 \n",
       "C 290.261369 47.525344 291.388632 47.992272 292.563872 47.992272 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_28\">\n",
       "    <path d=\"M 292.563872 229.79627 \n",
       "C 293.739113 229.79627 294.866376 229.329342 295.697397 228.498321 \n",
       "C 296.528417 227.667301 296.995345 226.540037 296.995345 225.364797 \n",
       "C 296.995345 224.189557 296.528417 223.062293 295.697397 222.231273 \n",
       "C 294.866376 221.400253 293.739113 220.933325 292.563872 220.933325 \n",
       "C 291.388632 220.933325 290.261369 221.400253 289.430348 222.231273 \n",
       "C 288.599328 223.062293 288.1324 224.189557 288.1324 225.364797 \n",
       "C 288.1324 226.540037 288.599328 227.667301 289.430348 228.498321 \n",
       "C 290.261369 229.329342 291.388632 229.79627 292.563872 229.79627 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_29\">\n",
       "    <path d=\"M 345.968797 58.332374 \n",
       "L 375.511946 58.332374 \n",
       "L 375.511946 28.789225 \n",
       "L 345.968797 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_30\">\n",
       "    <path d=\"M 345.968797 240.136372 \n",
       "L 375.511946 240.136372 \n",
       "L 375.511946 210.593222 \n",
       "L 345.968797 210.593222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_31\">\n",
       "    <path d=\"M 391.419796 58.332374 \n",
       "L 420.962946 58.332374 \n",
       "L 420.962946 28.789225 \n",
       "L 391.419796 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_32\">\n",
       "    <path d=\"M 391.419796 240.136372 \n",
       "L 420.962946 240.136372 \n",
       "L 420.962946 210.593222 \n",
       "L 391.419796 210.593222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_33\">\n",
       "    <path d=\"M 432.764298 240.136372 \n",
       "L 470.520443 240.136372 \n",
       "L 470.520443 119.691224 \n",
       "L 432.764298 119.691224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_34\">\n",
       "    <path d=\"M 519.818869 138.894271 \n",
       "C 520.99411 138.894271 522.121373 138.427343 522.952394 137.596323 \n",
       "C 523.783414 136.765302 524.250342 135.638039 524.250342 134.462798 \n",
       "C 524.250342 133.287558 523.783414 132.160294 522.952394 131.329274 \n",
       "C 522.121373 130.498254 520.99411 130.031326 519.818869 130.031326 \n",
       "C 518.643629 130.031326 517.516366 130.498254 516.685345 131.329274 \n",
       "C 515.854325 132.160294 515.387397 133.287558 515.387397 134.462798 \n",
       "C 515.387397 135.638039 515.854325 136.765302 516.685345 137.596323 \n",
       "C 517.516366 138.427343 518.643629 138.894271 519.818869 138.894271 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_35\">\n",
       "    <path d=\"M 519.818869 229.79627 \n",
       "C 520.99411 229.79627 522.121373 229.329342 522.952394 228.498321 \n",
       "C 523.783414 227.667301 524.250342 226.540037 524.250342 225.364797 \n",
       "C 524.250342 224.189557 523.783414 223.062293 522.952394 222.231273 \n",
       "C 522.121373 221.400253 520.99411 220.933325 519.818869 220.933325 \n",
       "C 518.643629 220.933325 517.516366 221.400253 516.685345 222.231273 \n",
       "C 515.854325 223.062293 515.387397 224.189557 515.387397 225.364797 \n",
       "C 515.387397 226.540037 515.854325 227.667301 516.685345 228.498321 \n",
       "C 517.516366 229.329342 518.643629 229.79627 519.818869 229.79627 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_36\">\n",
       "    <path d=\"M 569.117296 149.234373 \n",
       "L 606.873441 149.234373 \n",
       "L 606.873441 28.789225 \n",
       "L 569.117296 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_37\">\n",
       "    <path d=\"M 569.117296 331.038371 \n",
       "L 606.873441 331.038371 \n",
       "L 606.873441 210.593222 \n",
       "L 569.117296 210.593222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_38\">\n",
       "    <path d=\"M 656.171868 47.992272 \n",
       "C 657.347108 47.992272 658.474371 47.525344 659.305392 46.694324 \n",
       "C 660.136412 45.863303 660.60334 44.73604 660.60334 43.5608 \n",
       "C 660.60334 42.385559 660.136412 41.258296 659.305392 40.427275 \n",
       "C 658.474371 39.596255 657.347108 39.129327 656.171868 39.129327 \n",
       "C 654.996627 39.129327 653.869364 39.596255 653.038343 40.427275 \n",
       "C 652.207323 41.258296 651.740395 42.385559 651.740395 43.5608 \n",
       "C 651.740395 44.73604 652.207323 45.863303 653.038343 46.694324 \n",
       "C 653.869364 47.525344 654.996627 47.992272 656.171868 47.992272 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_39\">\n",
       "    <path d=\"M 656.171868 138.894271 \n",
       "C 657.347108 138.894271 658.474371 138.427343 659.305392 137.596323 \n",
       "C 660.136412 136.765302 660.60334 135.638039 660.60334 134.462798 \n",
       "C 660.60334 133.287558 660.136412 132.160294 659.305392 131.329274 \n",
       "C 658.474371 130.498254 657.347108 130.031326 656.171868 130.031326 \n",
       "C 654.996627 130.031326 653.869364 130.498254 653.038343 131.329274 \n",
       "C 652.207323 132.160294 651.740395 133.287558 651.740395 134.462798 \n",
       "C 651.740395 135.638039 652.207323 136.765302 653.038343 137.596323 \n",
       "C 653.869364 138.427343 654.996627 138.894271 656.171868 138.894271 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_40\">\n",
       "    <path d=\"M 656.171868 229.79627 \n",
       "C 657.347108 229.79627 658.474371 229.329342 659.305392 228.498321 \n",
       "C 660.136412 227.667301 660.60334 226.540037 660.60334 225.364797 \n",
       "C 660.60334 224.189557 660.136412 223.062293 659.305392 222.231273 \n",
       "C 658.474371 221.400253 657.347108 220.933325 656.171868 220.933325 \n",
       "C 654.996627 220.933325 653.869364 221.400253 653.038343 222.231273 \n",
       "C 652.207323 223.062293 651.740395 224.189557 651.740395 225.364797 \n",
       "C 651.740395 226.540037 652.207323 227.667301 653.038343 228.498321 \n",
       "C 653.869364 229.329342 654.996627 229.79627 656.171868 229.79627 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_41\">\n",
       "    <path d=\"M 656.171868 320.698268 \n",
       "C 657.347108 320.698268 658.474371 320.23134 659.305392 319.40032 \n",
       "C 660.136412 318.5693 660.60334 317.442036 660.60334 316.266796 \n",
       "C 660.60334 315.091556 660.136412 313.964292 659.305392 313.133272 \n",
       "C 658.474371 312.302251 657.347108 311.835323 656.171868 311.835323 \n",
       "C 654.996627 311.835323 653.869364 312.302251 653.038343 313.133272 \n",
       "C 652.207323 313.964292 651.740395 315.091556 651.740395 316.266796 \n",
       "C 651.740395 317.442036 652.207323 318.5693 653.038343 319.40032 \n",
       "C 653.869364 320.23134 654.996627 320.698268 656.171868 320.698268 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_42\">\n",
       "    <path d=\"M 709.576792 58.332374 \n",
       "L 739.119942 58.332374 \n",
       "L 739.119942 28.789225 \n",
       "L 709.576792 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_43\">\n",
       "    <path d=\"M 709.576792 149.234373 \n",
       "L 739.119942 149.234373 \n",
       "L 739.119942 119.691224 \n",
       "L 709.576792 119.691224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_44\">\n",
       "    <path d=\"M 709.576792 240.136372 \n",
       "L 739.119942 240.136372 \n",
       "L 739.119942 210.593222 \n",
       "L 709.576792 210.593222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_45\">\n",
       "    <path d=\"M 709.576792 331.038371 \n",
       "L 739.119942 331.038371 \n",
       "L 739.119942 301.495221 \n",
       "L 709.576792 301.495221 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_46\">\n",
       "    <path d=\"M 755.027791 58.332374 \n",
       "L 784.570941 58.332374 \n",
       "L 784.570941 28.789225 \n",
       "L 755.027791 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_47\">\n",
       "    <path d=\"M 755.027791 149.234373 \n",
       "L 784.570941 149.234373 \n",
       "L 784.570941 119.691224 \n",
       "L 755.027791 119.691224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_48\">\n",
       "    <path d=\"M 755.027791 240.136372 \n",
       "L 784.570941 240.136372 \n",
       "L 784.570941 210.593222 \n",
       "L 755.027791 210.593222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_49\">\n",
       "    <path d=\"M 755.027791 331.038371 \n",
       "L 784.570941 331.038371 \n",
       "L 784.570941 301.495221 \n",
       "L 755.027791 301.495221 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_50\">\n",
       "    <path d=\"M 796.372293 149.234373 \n",
       "L 834.128438 149.234373 \n",
       "L 834.128438 74.240224 \n",
       "L 796.372293 74.240224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_51\">\n",
       "    <path d=\"M 796.372293 240.136372 \n",
       "L 834.128438 240.136372 \n",
       "L 834.128438 165.142223 \n",
       "L 796.372293 165.142223 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_52\">\n",
       "    <path d=\"M 796.372293 331.038371 \n",
       "L 834.128438 331.038371 \n",
       "L 834.128438 256.044222 \n",
       "L 796.372293 256.044222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_53\">\n",
       "    <path d=\"M 883.426865 93.443271 \n",
       "C 884.602105 93.443271 885.729368 92.976343 886.560389 92.145323 \n",
       "C 887.391409 91.314303 887.858337 90.187039 887.858337 89.011799 \n",
       "C 887.858337 87.836559 887.391409 86.709295 886.560389 85.878275 \n",
       "C 885.729368 85.047254 884.602105 84.580326 883.426865 84.580326 \n",
       "C 882.251624 84.580326 881.124361 85.047254 880.29334 85.878275 \n",
       "C 879.46232 86.709295 878.995392 87.836559 878.995392 89.011799 \n",
       "C 878.995392 90.187039 879.46232 91.314303 880.29334 92.145323 \n",
       "C 881.124361 92.976343 882.251624 93.443271 883.426865 93.443271 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_54\">\n",
       "    <path d=\"M 883.426865 138.894271 \n",
       "C 884.602105 138.894271 885.729368 138.427343 886.560389 137.596323 \n",
       "C 887.391409 136.765302 887.858337 135.638039 887.858337 134.462798 \n",
       "C 887.858337 133.287558 887.391409 132.160294 886.560389 131.329274 \n",
       "C 885.729368 130.498254 884.602105 130.031326 883.426865 130.031326 \n",
       "C 882.251624 130.031326 881.124361 130.498254 880.29334 131.329274 \n",
       "C 879.46232 132.160294 878.995392 133.287558 878.995392 134.462798 \n",
       "C 878.995392 135.638039 879.46232 136.765302 880.29334 137.596323 \n",
       "C 881.124361 138.427343 882.251624 138.894271 883.426865 138.894271 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_55\">\n",
       "    <path d=\"M 883.426865 184.34527 \n",
       "C 884.602105 184.34527 885.729368 183.878342 886.560389 183.047322 \n",
       "C 887.391409 182.216302 887.858337 181.089038 887.858337 179.913798 \n",
       "C 887.858337 178.738557 887.391409 177.611294 886.560389 176.780273 \n",
       "C 885.729368 175.949253 884.602105 175.482325 883.426865 175.482325 \n",
       "C 882.251624 175.482325 881.124361 175.949253 880.29334 176.780273 \n",
       "C 879.46232 177.611294 878.995392 178.738557 878.995392 179.913798 \n",
       "C 878.995392 181.089038 879.46232 182.216302 880.29334 183.047322 \n",
       "C 881.124361 183.878342 882.251624 184.34527 883.426865 184.34527 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_56\">\n",
       "    <path d=\"M 883.426865 229.79627 \n",
       "C 884.602105 229.79627 885.729368 229.329342 886.560389 228.498321 \n",
       "C 887.391409 227.667301 887.858337 226.540037 887.858337 225.364797 \n",
       "C 887.858337 224.189557 887.391409 223.062293 886.560389 222.231273 \n",
       "C 885.729368 221.400253 884.602105 220.933325 883.426865 220.933325 \n",
       "C 882.251624 220.933325 881.124361 221.400253 880.29334 222.231273 \n",
       "C 879.46232 223.062293 878.995392 224.189557 878.995392 225.364797 \n",
       "C 878.995392 226.540037 879.46232 227.667301 880.29334 228.498321 \n",
       "C 881.124361 229.329342 882.251624 229.79627 883.426865 229.79627 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_57\">\n",
       "    <path d=\"M 883.426865 275.247269 \n",
       "C 884.602105 275.247269 885.729368 274.780341 886.560389 273.949321 \n",
       "C 887.391409 273.1183 887.858337 271.991037 887.858337 270.815796 \n",
       "C 887.858337 269.640556 887.391409 268.513293 886.560389 267.682272 \n",
       "C 885.729368 266.851252 884.602105 266.384324 883.426865 266.384324 \n",
       "C 882.251624 266.384324 881.124361 266.851252 880.29334 267.682272 \n",
       "C 879.46232 268.513293 878.995392 269.640556 878.995392 270.815796 \n",
       "C 878.995392 271.991037 879.46232 273.1183 880.29334 273.949321 \n",
       "C 881.124361 274.780341 882.251624 275.247269 883.426865 275.247269 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_58\">\n",
       "    <path d=\"M 883.426865 320.698268 \n",
       "C 884.602105 320.698268 885.729368 320.23134 886.560389 319.40032 \n",
       "C 887.391409 318.5693 887.858337 317.442036 887.858337 316.266796 \n",
       "C 887.858337 315.091556 887.391409 313.964292 886.560389 313.133272 \n",
       "C 885.729368 312.302251 884.602105 311.835323 883.426865 311.835323 \n",
       "C 882.251624 311.835323 881.124361 312.302251 880.29334 313.133272 \n",
       "C 879.46232 313.964292 878.995392 315.091556 878.995392 316.266796 \n",
       "C 878.995392 317.442036 879.46232 318.5693 880.29334 319.40032 \n",
       "C 881.124361 320.23134 882.251624 320.698268 883.426865 320.698268 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_59\">\n",
       "    <path d=\"M 932.725291 103.783374 \n",
       "L 970.481436 103.783374 \n",
       "L 970.481436 28.789225 \n",
       "L 932.725291 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_60\">\n",
       "    <path d=\"M 932.725291 194.685373 \n",
       "L 970.481436 194.685373 \n",
       "L 970.481436 119.691224 \n",
       "L 932.725291 119.691224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_61\">\n",
       "    <path d=\"M 932.725291 285.587371 \n",
       "L 970.481436 285.587371 \n",
       "L 970.481436 210.593222 \n",
       "L 932.725291 210.593222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_62\">\n",
       "    <path d=\"M 932.725291 376.48937 \n",
       "L 970.481436 376.48937 \n",
       "L 970.481436 301.495221 \n",
       "L 932.725291 301.495221 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_63\">\n",
       "    <path d=\"M 1019.779863 47.992272 \n",
       "C 1020.955103 47.992272 1022.082367 47.525344 1022.913387 46.694324 \n",
       "C 1023.744407 45.863303 1024.211335 44.73604 1024.211335 43.5608 \n",
       "C 1024.211335 42.385559 1023.744407 41.258296 1022.913387 40.427275 \n",
       "C 1022.082367 39.596255 1020.955103 39.129327 1019.779863 39.129327 \n",
       "C 1018.604623 39.129327 1017.477359 39.596255 1016.646339 40.427275 \n",
       "C 1015.815318 41.258296 1015.34839 42.385559 1015.34839 43.5608 \n",
       "C 1015.34839 44.73604 1015.815318 45.863303 1016.646339 46.694324 \n",
       "C 1017.477359 47.525344 1018.604623 47.992272 1019.779863 47.992272 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_64\">\n",
       "    <path d=\"M 1019.779863 93.443271 \n",
       "C 1020.955103 93.443271 1022.082367 92.976343 1022.913387 92.145323 \n",
       "C 1023.744407 91.314303 1024.211335 90.187039 1024.211335 89.011799 \n",
       "C 1024.211335 87.836559 1023.744407 86.709295 1022.913387 85.878275 \n",
       "C 1022.082367 85.047254 1020.955103 84.580326 1019.779863 84.580326 \n",
       "C 1018.604623 84.580326 1017.477359 85.047254 1016.646339 85.878275 \n",
       "C 1015.815318 86.709295 1015.34839 87.836559 1015.34839 89.011799 \n",
       "C 1015.34839 90.187039 1015.815318 91.314303 1016.646339 92.145323 \n",
       "C 1017.477359 92.976343 1018.604623 93.443271 1019.779863 93.443271 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_65\">\n",
       "    <path d=\"M 1019.779863 138.894271 \n",
       "C 1020.955103 138.894271 1022.082367 138.427343 1022.913387 137.596323 \n",
       "C 1023.744407 136.765302 1024.211335 135.638039 1024.211335 134.462798 \n",
       "C 1024.211335 133.287558 1023.744407 132.160294 1022.913387 131.329274 \n",
       "C 1022.082367 130.498254 1020.955103 130.031326 1019.779863 130.031326 \n",
       "C 1018.604623 130.031326 1017.477359 130.498254 1016.646339 131.329274 \n",
       "C 1015.815318 132.160294 1015.34839 133.287558 1015.34839 134.462798 \n",
       "C 1015.34839 135.638039 1015.815318 136.765302 1016.646339 137.596323 \n",
       "C 1017.477359 138.427343 1018.604623 138.894271 1019.779863 138.894271 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_66\">\n",
       "    <path d=\"M 1019.779863 184.34527 \n",
       "C 1020.955103 184.34527 1022.082367 183.878342 1022.913387 183.047322 \n",
       "C 1023.744407 182.216302 1024.211335 181.089038 1024.211335 179.913798 \n",
       "C 1024.211335 178.738557 1023.744407 177.611294 1022.913387 176.780273 \n",
       "C 1022.082367 175.949253 1020.955103 175.482325 1019.779863 175.482325 \n",
       "C 1018.604623 175.482325 1017.477359 175.949253 1016.646339 176.780273 \n",
       "C 1015.815318 177.611294 1015.34839 178.738557 1015.34839 179.913798 \n",
       "C 1015.34839 181.089038 1015.815318 182.216302 1016.646339 183.047322 \n",
       "C 1017.477359 183.878342 1018.604623 184.34527 1019.779863 184.34527 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_67\">\n",
       "    <path d=\"M 1019.779863 229.79627 \n",
       "C 1020.955103 229.79627 1022.082367 229.329342 1022.913387 228.498321 \n",
       "C 1023.744407 227.667301 1024.211335 226.540037 1024.211335 225.364797 \n",
       "C 1024.211335 224.189557 1023.744407 223.062293 1022.913387 222.231273 \n",
       "C 1022.082367 221.400253 1020.955103 220.933325 1019.779863 220.933325 \n",
       "C 1018.604623 220.933325 1017.477359 221.400253 1016.646339 222.231273 \n",
       "C 1015.815318 223.062293 1015.34839 224.189557 1015.34839 225.364797 \n",
       "C 1015.34839 226.540037 1015.815318 227.667301 1016.646339 228.498321 \n",
       "C 1017.477359 229.329342 1018.604623 229.79627 1019.779863 229.79627 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_68\">\n",
       "    <path d=\"M 1019.779863 275.247269 \n",
       "C 1020.955103 275.247269 1022.082367 274.780341 1022.913387 273.949321 \n",
       "C 1023.744407 273.1183 1024.211335 271.991037 1024.211335 270.815796 \n",
       "C 1024.211335 269.640556 1023.744407 268.513293 1022.913387 267.682272 \n",
       "C 1022.082367 266.851252 1020.955103 266.384324 1019.779863 266.384324 \n",
       "C 1018.604623 266.384324 1017.477359 266.851252 1016.646339 267.682272 \n",
       "C 1015.815318 268.513293 1015.34839 269.640556 1015.34839 270.815796 \n",
       "C 1015.34839 271.991037 1015.815318 273.1183 1016.646339 273.949321 \n",
       "C 1017.477359 274.780341 1018.604623 275.247269 1019.779863 275.247269 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_69\">\n",
       "    <path d=\"M 1019.779863 320.698268 \n",
       "C 1020.955103 320.698268 1022.082367 320.23134 1022.913387 319.40032 \n",
       "C 1023.744407 318.5693 1024.211335 317.442036 1024.211335 316.266796 \n",
       "C 1024.211335 315.091556 1023.744407 313.964292 1022.913387 313.133272 \n",
       "C 1022.082367 312.302251 1020.955103 311.835323 1019.779863 311.835323 \n",
       "C 1018.604623 311.835323 1017.477359 312.302251 1016.646339 313.133272 \n",
       "C 1015.815318 313.964292 1015.34839 315.091556 1015.34839 316.266796 \n",
       "C 1015.34839 317.442036 1015.815318 318.5693 1016.646339 319.40032 \n",
       "C 1017.477359 320.23134 1018.604623 320.698268 1019.779863 320.698268 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_70\">\n",
       "    <path d=\"M 1019.779863 366.149268 \n",
       "C 1020.955103 366.149268 1022.082367 365.68234 1022.913387 364.85132 \n",
       "C 1023.744407 364.020299 1024.211335 362.893036 1024.211335 361.717795 \n",
       "C 1024.211335 360.542555 1023.744407 359.415291 1022.913387 358.584271 \n",
       "C 1022.082367 357.753251 1020.955103 357.286323 1019.779863 357.286323 \n",
       "C 1018.604623 357.286323 1017.477359 357.753251 1016.646339 358.584271 \n",
       "C 1015.815318 359.415291 1015.34839 360.542555 1015.34839 361.717795 \n",
       "C 1015.34839 362.893036 1015.815318 364.020299 1016.646339 364.85132 \n",
       "C 1017.477359 365.68234 1018.604623 366.149268 1019.779863 366.149268 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_71\">\n",
       "    <path d=\"M 1073.184787 58.332374 \n",
       "L 1102.727937 58.332374 \n",
       "L 1102.727937 28.789225 \n",
       "L 1073.184787 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_72\">\n",
       "    <path d=\"M 1073.184787 103.783374 \n",
       "L 1102.727937 103.783374 \n",
       "L 1102.727937 74.240224 \n",
       "L 1073.184787 74.240224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_73\">\n",
       "    <path d=\"M 1073.184787 149.234373 \n",
       "L 1102.727937 149.234373 \n",
       "L 1102.727937 119.691224 \n",
       "L 1073.184787 119.691224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_74\">\n",
       "    <path d=\"M 1073.184787 194.685373 \n",
       "L 1102.727937 194.685373 \n",
       "L 1102.727937 165.142223 \n",
       "L 1073.184787 165.142223 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_75\">\n",
       "    <path d=\"M 1073.184787 240.136372 \n",
       "L 1102.727937 240.136372 \n",
       "L 1102.727937 210.593222 \n",
       "L 1073.184787 210.593222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_76\">\n",
       "    <path d=\"M 1073.184787 285.587371 \n",
       "L 1102.727937 285.587371 \n",
       "L 1102.727937 256.044222 \n",
       "L 1073.184787 256.044222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_77\">\n",
       "    <path d=\"M 1073.184787 331.038371 \n",
       "L 1102.727937 331.038371 \n",
       "L 1102.727937 301.495221 \n",
       "L 1073.184787 301.495221 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_78\">\n",
       "    <path d=\"M 1073.184787 376.48937 \n",
       "L 1102.727937 376.48937 \n",
       "L 1102.727937 346.94622 \n",
       "L 1073.184787 346.94622 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_79\">\n",
       "    <path d=\"M 1118.635786 58.332374 \n",
       "L 1148.178936 58.332374 \n",
       "L 1148.178936 28.789225 \n",
       "L 1118.635786 28.789225 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_80\">\n",
       "    <path d=\"M 1118.635786 103.783374 \n",
       "L 1148.178936 103.783374 \n",
       "L 1148.178936 74.240224 \n",
       "L 1118.635786 74.240224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_81\">\n",
       "    <path d=\"M 1118.635786 149.234373 \n",
       "L 1148.178936 149.234373 \n",
       "L 1148.178936 119.691224 \n",
       "L 1118.635786 119.691224 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_82\">\n",
       "    <path d=\"M 1118.635786 194.685373 \n",
       "L 1148.178936 194.685373 \n",
       "L 1148.178936 165.142223 \n",
       "L 1118.635786 165.142223 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_83\">\n",
       "    <path d=\"M 1118.635786 240.136372 \n",
       "L 1148.178936 240.136372 \n",
       "L 1148.178936 210.593222 \n",
       "L 1118.635786 210.593222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_84\">\n",
       "    <path d=\"M 1118.635786 285.587371 \n",
       "L 1148.178936 285.587371 \n",
       "L 1148.178936 256.044222 \n",
       "L 1118.635786 256.044222 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_85\">\n",
       "    <path d=\"M 1118.635786 331.038371 \n",
       "L 1148.178936 331.038371 \n",
       "L 1148.178936 301.495221 \n",
       "L 1118.635786 301.495221 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_86\">\n",
       "    <path d=\"M 1118.635786 376.48937 \n",
       "L 1148.178936 376.48937 \n",
       "L 1148.178936 346.94622 \n",
       "L 1118.635786 346.94622 \n",
       "z\n",
       "\" clip-path=\"url(#p667b7f0f8a)\" style=\"fill: #bb8bff; stroke: #bb8bff; stroke-width: 1.5; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"text_1\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- ${q}_{0}$ -->\n",
       "     <g transform=\"translate(36.363136 48.011776)scale(0.1625 -0.1625)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-Oblique-71\" d=\"M 2669 525 \n",
       "Q 2438 222 2123 65 \n",
       "Q 1809 -91 1428 -91 \n",
       "Q 897 -91 595 267 \n",
       "Q 294 625 294 1253 \n",
       "Q 294 1759 480 2231 \n",
       "Q 666 2703 1013 3078 \n",
       "Q 1238 3322 1530 3453 \n",
       "Q 1822 3584 2144 3584 \n",
       "Q 2531 3584 2781 3431 \n",
       "Q 3031 3278 3144 2969 \n",
       "L 3244 3494 \n",
       "L 3822 3494 \n",
       "L 2888 -1319 \n",
       "L 2309 -1319 \n",
       "L 2669 525 \n",
       "z\n",
       "M 891 1338 \n",
       "Q 891 875 1084 633 \n",
       "Q 1278 391 1644 391 \n",
       "Q 2188 391 2572 911 \n",
       "Q 2956 1431 2956 2175 \n",
       "Q 2956 2625 2757 2864 \n",
       "Q 2559 3103 2188 3103 \n",
       "Q 1916 3103 1684 2976 \n",
       "Q 1453 2850 1281 2606 \n",
       "Q 1100 2350 995 2006 \n",
       "Q 891 1663 891 1338 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-Oblique-71\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(63.476562 -16.40625)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_2\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- ${q}_{1}$ -->\n",
       "     <g transform=\"translate(36.363136 93.462775)scale(0.1625 -0.1625)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-Oblique-71\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(63.476562 -16.40625)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_3\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- ${q}_{2}$ -->\n",
       "     <g transform=\"translate(36.363136 138.913775)scale(0.1625 -0.1625)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-Oblique-71\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-32\" transform=\"translate(63.476562 -16.40625)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_4\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- ${q}_{3}$ -->\n",
       "     <g transform=\"translate(36.363136 184.364774)scale(0.1625 -0.1625)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
       "Q 3050 2419 3304 2112 \n",
       "Q 3559 1806 3559 1356 \n",
       "Q 3559 666 3084 287 \n",
       "Q 2609 -91 1734 -91 \n",
       "Q 1441 -91 1130 -33 \n",
       "Q 819 25 488 141 \n",
       "L 488 750 \n",
       "Q 750 597 1062 519 \n",
       "Q 1375 441 1716 441 \n",
       "Q 2309 441 2620 675 \n",
       "Q 2931 909 2931 1356 \n",
       "Q 2931 1769 2642 2001 \n",
       "Q 2353 2234 1838 2234 \n",
       "L 1294 2234 \n",
       "L 1294 2753 \n",
       "L 1863 2753 \n",
       "Q 2328 2753 2575 2939 \n",
       "Q 2822 3125 2822 3475 \n",
       "Q 2822 3834 2567 4026 \n",
       "Q 2313 4219 1838 4219 \n",
       "Q 1578 4219 1281 4162 \n",
       "Q 984 4106 628 3988 \n",
       "L 628 4550 \n",
       "Q 988 4650 1302 4700 \n",
       "Q 1616 4750 1894 4750 \n",
       "Q 2613 4750 3031 4423 \n",
       "Q 3450 4097 3450 3541 \n",
       "Q 3450 3153 3228 2886 \n",
       "Q 3006 2619 2597 2516 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-Oblique-71\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-33\" transform=\"translate(63.476562 -16.40625)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_5\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- ${q}_{4}$ -->\n",
       "     <g transform=\"translate(36.363136 229.815774)scale(0.1625 -0.1625)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \n",
       "L 825 1625 \n",
       "L 2419 1625 \n",
       "L 2419 4116 \n",
       "z\n",
       "M 2253 4666 \n",
       "L 3047 4666 \n",
       "L 3047 1625 \n",
       "L 3713 1625 \n",
       "L 3713 1100 \n",
       "L 3047 1100 \n",
       "L 3047 0 \n",
       "L 2419 0 \n",
       "L 2419 1100 \n",
       "L 313 1100 \n",
       "L 313 1709 \n",
       "L 2253 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-Oblique-71\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-34\" transform=\"translate(63.476562 -16.40625)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_6\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- ${q}_{5}$ -->\n",
       "     <g transform=\"translate(36.363136 275.266773)scale(0.1625 -0.1625)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-35\" d=\"M 691 4666 \n",
       "L 3169 4666 \n",
       "L 3169 4134 \n",
       "L 1269 4134 \n",
       "L 1269 2991 \n",
       "Q 1406 3038 1543 3061 \n",
       "Q 1681 3084 1819 3084 \n",
       "Q 2600 3084 3056 2656 \n",
       "Q 3513 2228 3513 1497 \n",
       "Q 3513 744 3044 326 \n",
       "Q 2575 -91 1722 -91 \n",
       "Q 1428 -91 1123 -41 \n",
       "Q 819 9 494 109 \n",
       "L 494 744 \n",
       "Q 775 591 1075 516 \n",
       "Q 1375 441 1709 441 \n",
       "Q 2250 441 2565 725 \n",
       "Q 2881 1009 2881 1497 \n",
       "Q 2881 1984 2565 2268 \n",
       "Q 2250 2553 1709 2553 \n",
       "Q 1456 2553 1204 2497 \n",
       "Q 953 2441 691 2322 \n",
       "L 691 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-Oblique-71\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-35\" transform=\"translate(63.476562 -16.40625)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_7\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- ${q}_{6}$ -->\n",
       "     <g transform=\"translate(36.363136 320.717772)scale(0.1625 -0.1625)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \n",
       "Q 1688 2584 1439 2293 \n",
       "Q 1191 2003 1191 1497 \n",
       "Q 1191 994 1439 701 \n",
       "Q 1688 409 2113 409 \n",
       "Q 2538 409 2786 701 \n",
       "Q 3034 994 3034 1497 \n",
       "Q 3034 2003 2786 2293 \n",
       "Q 2538 2584 2113 2584 \n",
       "z\n",
       "M 3366 4563 \n",
       "L 3366 3988 \n",
       "Q 3128 4100 2886 4159 \n",
       "Q 2644 4219 2406 4219 \n",
       "Q 1781 4219 1451 3797 \n",
       "Q 1122 3375 1075 2522 \n",
       "Q 1259 2794 1537 2939 \n",
       "Q 1816 3084 2150 3084 \n",
       "Q 2853 3084 3261 2657 \n",
       "Q 3669 2231 3669 1497 \n",
       "Q 3669 778 3244 343 \n",
       "Q 2819 -91 2113 -91 \n",
       "Q 1303 -91 875 529 \n",
       "Q 447 1150 447 2328 \n",
       "Q 447 3434 972 4092 \n",
       "Q 1497 4750 2381 4750 \n",
       "Q 2619 4750 2861 4703 \n",
       "Q 3103 4656 3366 4563 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-Oblique-71\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-36\" transform=\"translate(63.476562 -16.40625)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_8\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- ${q}_{7}$ -->\n",
       "     <g transform=\"translate(36.363136 366.168772)scale(0.1625 -0.1625)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
       "L 3525 4666 \n",
       "L 3525 4397 \n",
       "L 1831 0 \n",
       "L 1172 0 \n",
       "L 2766 4134 \n",
       "L 525 4134 \n",
       "L 525 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-Oblique-71\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-37\" transform=\"translate(63.476562 -16.40625)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_9\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(85.489375 54.631244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_10\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(80.104375 42.716515)scale(0.13 -0.13)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
       "Q 3044 2119 3236 1894 \n",
       "Q 3428 1669 3622 1275 \n",
       "L 4263 0 \n",
       "L 3584 0 \n",
       "L 2988 1197 \n",
       "Q 2756 1666 2539 1819 \n",
       "Q 2322 1972 1947 1972 \n",
       "L 1259 1972 \n",
       "L 1259 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "L 2053 4666 \n",
       "Q 2853 4666 3247 4331 \n",
       "Q 3641 3997 3641 3322 \n",
       "Q 3641 2881 3436 2590 \n",
       "Q 3231 2300 2841 2188 \n",
       "z\n",
       "M 1259 4147 \n",
       "L 1259 2491 \n",
       "L 2053 2491 \n",
       "Q 2509 2491 2742 2702 \n",
       "Q 2975 2913 2975 3322 \n",
       "Q 2975 3731 2742 3939 \n",
       "Q 2509 4147 2053 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-58\" d=\"M 403 4666 \n",
       "L 1081 4666 \n",
       "L 2241 2931 \n",
       "L 3406 4666 \n",
       "L 4084 4666 \n",
       "L 2584 2425 \n",
       "L 4184 0 \n",
       "L 3506 0 \n",
       "L 2194 1984 \n",
       "L 872 0 \n",
       "L 191 0 \n",
       "L 1856 2491 \n",
       "L 403 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_11\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(85.489375 100.082244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_12\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(80.104375 88.167514)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_13\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(85.489375 145.533243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_14\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(80.104375 133.618513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_15\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(85.489375 190.984243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_16\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(80.104375 179.069513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_17\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(85.489375 236.435242)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_18\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(80.104375 224.520512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_19\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(85.489375 281.886241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_20\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(80.104375 269.971512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_21\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(85.489375 327.337241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_22\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(80.104375 315.422511)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_23\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(85.489375 372.78824)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_24\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(80.104375 360.87351)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_25\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(130.940375 54.631244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_26\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(125.555375 42.716515)scale(0.13 -0.13)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-5a\" d=\"M 359 4666 \n",
       "L 4025 4666 \n",
       "L 4025 4184 \n",
       "L 1075 531 \n",
       "L 4097 531 \n",
       "L 4097 0 \n",
       "L 288 0 \n",
       "L 288 481 \n",
       "L 3238 4134 \n",
       "L 359 4134 \n",
       "L 359 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_27\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(130.940375 100.082244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_28\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(125.555375 88.167514)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_29\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(130.940375 145.533243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_30\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(125.555375 133.618513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_31\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(130.940375 190.984243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_32\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(125.555375 179.069513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_33\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(130.940375 236.435242)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_34\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(125.555375 224.520512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_35\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(130.940375 281.886241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_36\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(125.555375 269.971512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_37\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(130.940375 327.337241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_38\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(125.555375 315.422511)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_39\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(130.940375 372.78824)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_40\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(125.555375 360.87351)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_41\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(176.391374 54.631244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_42\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(171.006374 42.716515)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_43\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(176.391374 100.082244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_44\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(171.006374 88.167514)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_45\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(176.391374 145.533243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_46\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(171.006374 133.618513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_47\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(176.391374 190.984243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_48\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(171.006374 179.069513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_49\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(176.391374 236.435242)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_50\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(171.006374 224.520512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_51\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(176.391374 281.886241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_52\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(171.006374 269.971512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_53\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(176.391374 327.337241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_54\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(171.006374 315.422511)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_55\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(176.391374 372.78824)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_56\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(171.006374 360.87351)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_57\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(208.690871 47.147987)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_58\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 1 -->\n",
       "     <g transform=\"translate(208.690871 228.951985)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_59\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(226.841983 185.302868)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_60\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_{XX}}$ -->\n",
       "     <g transform=\"translate(218.336983 144.413126)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(118.393555 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_61\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{ZZ}$ (0) -->\n",
       "     <g transform=\"translate(298.190645 201.900397)scale(0.08 -0.08)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-28\" d=\"M 1984 4856 \n",
       "Q 1566 4138 1362 3434 \n",
       "Q 1159 2731 1159 2009 \n",
       "Q 1159 1288 1364 580 \n",
       "Q 1569 -128 1984 -844 \n",
       "L 1484 -844 \n",
       "Q 1016 -109 783 600 \n",
       "Q 550 1309 550 2009 \n",
       "Q 550 2706 781 3412 \n",
       "Q 1013 4119 1484 4856 \n",
       "L 1984 4856 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-29\" d=\"M 513 4856 \n",
       "L 1013 4856 \n",
       "Q 1481 4119 1714 3412 \n",
       "Q 1947 2706 1947 2009 \n",
       "Q 1947 1309 1714 600 \n",
       "Q 1481 -109 1013 -844 \n",
       "L 513 -844 \n",
       "Q 928 -128 1133 580 \n",
       "Q 1338 1288 1338 2009 \n",
       "Q 1338 2731 1133 3434 \n",
       "Q 928 4138 513 4856 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(0 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(68.505859 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(137.011719 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(168.798828 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(207.8125 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(271.435547 0.125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_62\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(358.195372 54.631244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_63\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(352.810372 42.716515)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_64\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(358.195372 236.435242)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_65\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(352.810372 224.520512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_66\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(403.646371 54.631244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_67\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(398.261371 42.716515)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_68\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(403.646371 236.435242)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_69\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(398.261371 224.520512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_70\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(435.945868 138.049986)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_71\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 1 -->\n",
       "     <g transform=\"translate(435.945868 228.951985)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_72\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(454.09698 203.483267)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_73\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_{XX}}$ -->\n",
       "     <g transform=\"translate(445.59198 180.773925)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(118.393555 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_74\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{ZZ}$ (0) -->\n",
       "     <g transform=\"translate(525.445642 201.900397)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(0 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(68.505859 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(137.011719 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(168.798828 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(207.8125 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(271.435547 0.125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_75\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(572.298866 47.147987)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_76\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 1 -->\n",
       "     <g transform=\"translate(572.298866 138.049986)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_77\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(590.449978 112.581269)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_78\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_{XX}}$ -->\n",
       "     <g transform=\"translate(581.944978 89.871926)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(118.393555 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_79\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(572.298866 228.951985)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_80\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 1 -->\n",
       "     <g transform=\"translate(572.298866 319.853983)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_81\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(590.449978 294.385266)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_82\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_{XX}}$ -->\n",
       "     <g transform=\"translate(581.944978 271.675924)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(118.393555 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_83\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{ZZ}$ (0) -->\n",
       "     <g transform=\"translate(661.79864 110.998399)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(0 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(68.505859 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(137.011719 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(168.798828 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(207.8125 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(271.435547 0.125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_84\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{ZZ}$ (0) -->\n",
       "     <g transform=\"translate(661.79864 292.802396)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(0 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(68.505859 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(137.011719 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(168.798828 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(207.8125 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(271.435547 0.125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_85\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(721.803367 54.631244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_86\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(716.418367 42.716515)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_87\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(721.803367 145.533243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_88\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(716.418367 133.618513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_89\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(721.803367 236.435242)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_90\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(716.418367 224.520512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_91\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(721.803367 327.337241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_92\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(716.418367 315.422511)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_93\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(767.254366 54.631244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_94\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(761.869366 42.716515)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_95\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(767.254366 145.533243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_96\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(761.869366 133.618513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_97\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(767.254366 236.435242)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_98\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(761.869366 224.520512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_99\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(767.254366 327.337241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_100\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(761.869366 315.422511)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_101\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(799.553863 92.598986)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_102\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 1 -->\n",
       "     <g transform=\"translate(799.553863 138.049986)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_103\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(817.704975 121.671469)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_104\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_{XX}}$ -->\n",
       "     <g transform=\"translate(809.199975 108.052326)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(118.393555 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_105\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(799.553863 183.500985)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_106\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 1 -->\n",
       "     <g transform=\"translate(799.553863 228.951985)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_107\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(817.704975 212.573467)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_108\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_{XX}}$ -->\n",
       "     <g transform=\"translate(809.199975 198.954325)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(118.393555 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_109\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(799.553863 274.402984)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_110\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 1 -->\n",
       "     <g transform=\"translate(799.553863 319.853983)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_111\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(817.704975 303.475466)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_112\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_{XX}}$ -->\n",
       "     <g transform=\"translate(809.199975 289.856324)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(118.393555 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_113\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{ZZ}$ (0) -->\n",
       "     <g transform=\"translate(889.053637 110.998399)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(0 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(68.505859 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(137.011719 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(168.798828 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(207.8125 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(271.435547 0.125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_114\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{ZZ}$ (0) -->\n",
       "     <g transform=\"translate(889.053637 201.900397)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(0 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(68.505859 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(137.011719 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(168.798828 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(207.8125 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(271.435547 0.125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_115\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{ZZ}$ (0) -->\n",
       "     <g transform=\"translate(889.053637 292.802396)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(0 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(68.505859 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(137.011719 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(168.798828 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(207.8125 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(271.435547 0.125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_116\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(935.906861 47.147987)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_117\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 1 -->\n",
       "     <g transform=\"translate(935.906861 92.598986)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_118\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(954.057974 76.220469)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_119\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_{XX}}$ -->\n",
       "     <g transform=\"translate(945.552974 62.601327)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(118.393555 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_120\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(935.906861 138.049986)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_121\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 1 -->\n",
       "     <g transform=\"translate(935.906861 183.500985)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_122\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(954.057974 167.122468)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_123\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_{XX}}$ -->\n",
       "     <g transform=\"translate(945.552974 153.503326)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(118.393555 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_124\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(935.906861 228.951985)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_125\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 1 -->\n",
       "     <g transform=\"translate(935.906861 274.402984)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_126\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(954.057974 258.024467)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_127\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_{XX}}$ -->\n",
       "     <g transform=\"translate(945.552974 244.405324)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(118.393555 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_128\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(935.906861 319.853983)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_129\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 1 -->\n",
       "     <g transform=\"translate(935.906861 365.304983)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_130\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(954.057974 348.926465)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_131\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_{XX}}$ -->\n",
       "     <g transform=\"translate(945.552974 335.307323)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(118.393555 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_132\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{ZZ}$ (0) -->\n",
       "     <g transform=\"translate(1025.406635 65.547399)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(0 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(68.505859 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(137.011719 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(168.798828 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(207.8125 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(271.435547 0.125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_133\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{ZZ}$ (0) -->\n",
       "     <g transform=\"translate(1025.406635 156.449398)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(0 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(68.505859 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(137.011719 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(168.798828 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(207.8125 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(271.435547 0.125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_134\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{ZZ}$ (0) -->\n",
       "     <g transform=\"translate(1025.406635 247.351397)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(0 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(68.505859 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(137.011719 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(168.798828 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(207.8125 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(271.435547 0.125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_135\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{ZZ}$ (0) -->\n",
       "     <g transform=\"translate(1025.406635 338.253396)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(0 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(68.505859 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(137.011719 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(168.798828 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-30\" transform=\"translate(207.8125 0.125)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(271.435547 0.125)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_136\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1085.411362 54.631244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_137\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(1080.026362 42.716515)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_138\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1085.411362 100.082244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_139\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(1080.026362 88.167514)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_140\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1085.411362 145.533243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_141\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(1080.026362 133.618513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_142\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1085.411362 190.984243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_143\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(1080.026362 179.069513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_144\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1085.411362 236.435242)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_145\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(1080.026362 224.520512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_146\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1085.411362 281.886241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_147\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(1080.026362 269.971512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_148\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1085.411362 327.337241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_149\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(1080.026362 315.422511)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_150\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1085.411362 372.78824)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_151\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_X}$ -->\n",
       "     <g transform=\"translate(1080.026362 360.87351)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-58\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_152\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1130.862361 54.631244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_153\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(1125.477361 42.716515)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_154\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1130.862361 100.082244)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_155\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(1125.477361 88.167514)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_156\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1130.862361 145.533243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_157\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(1125.477361 133.618513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_158\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1130.862361 190.984243)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_159\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(1125.477361 179.069513)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_160\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1130.862361 236.435242)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_161\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(1125.477361 224.520512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_162\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1130.862361 281.886241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_163\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(1125.477361 269.971512)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_164\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1130.862361 327.337241)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_165\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(1125.477361 315.422511)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_166\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- 0 -->\n",
       "     <g transform=\"translate(1130.862361 372.78824)scale(0.08 -0.08)\">\n",
       "      <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_167\">\n",
       "    <g clip-path=\"url(#p667b7f0f8a)\">\n",
       "     <!-- $\\mathrm{R_Z}$ -->\n",
       "     <g transform=\"translate(1125.477361 360.87351)scale(0.13 -0.13)\">\n",
       "      <use xlink:href=\"#DejaVuSans-52\" transform=\"translate(0 0.09375)\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-5a\" transform=\"translate(70.439453 -16.3125)scale(0.7)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p667b7f0f8a\">\n",
       "   <rect x=\"7.2\" y=\"7.2\" width=\"1156.205021\" height=\"381.788395\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 1531.4x505.68 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 线路可视化\n",
    "n = 8\n",
    "d = 1\n",
    "cirq, idx = MERA({\"params\": np.zeros(3000), \"delta\": 0.0}, n, d, 1.0)\n",
    "print(\"The number of parameters is\", idx)\n",
    "cirq.draw()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "bfe2fbee",
   "metadata": {},
   "source": [
    "## NN-VQE\n",
    "\n",
    "设计NN-VQE。我们使用神经网络将哈密顿量参数转换为VQE的变分量子线路（parameterized quantum ciecuit，PQC）的优化参数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1ac050a8",
   "metadata": {},
   "outputs": [],
   "source": [
    "def NN_MERA(n, d, lamb, NN_shape, stddev):\n",
    "    input = tf.keras.layers.Input(shape=[1])  # 输入层\n",
    "\n",
    "    x = tf.keras.layers.Dense(\n",
    "        units=NN_shape,\n",
    "        kernel_initializer=tf.keras.initializers.RandomNormal(stddev=stddev),\n",
    "        activation=\"ReLU\",\n",
    "    )(\n",
    "        input\n",
    "    )  # 隐层\n",
    "\n",
    "    x = tf.keras.layers.Dropout(0.05)(x)  # dropout层\n",
    "\n",
    "    _, idx = MERA(\n",
    "        {\"params\": np.zeros(3000), \"delta\": 0.0}, n, d, 1.0, energy_flag=False\n",
    "    )\n",
    "    params = tf.keras.layers.Dense(\n",
    "        units=idx,\n",
    "        kernel_initializer=tf.keras.initializers.RandomNormal(stddev=stddev),\n",
    "        activation=\"sigmoid\",\n",
    "    )(\n",
    "        x\n",
    "    )  # 输出层\n",
    "\n",
    "    qlayer = tc.KerasLayer(partial(MERA, n=n, d=d, lamb=lamb, energy_flag=True))  # PQC\n",
    "\n",
    "    output = qlayer({\"params\": 6.3 * params, \"delta\": input})  # NN-VQE输出\n",
    "\n",
    "    m = tf.keras.Model(inputs=input, outputs=output)\n",
    "\n",
    "    return m"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "e9afb1a5",
   "metadata": {},
   "source": [
    "## 训练\n",
    "\n",
    "现在我们用TensorFlow来训练NN-VQE。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "873ebd5e",
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "def train(n, d, lamb, delta, NN_shape, maxiter=10000, lr=0.005, stddev=1.0):\n",
    "    exp_lr = tf.keras.optimizers.schedules.ExponentialDecay(\n",
    "        initial_learning_rate=lr, decay_steps=1000, decay_rate=0.7\n",
    "    )\n",
    "    opt = tf.keras.optimizers.Adam(exp_lr)  # 优化器\n",
    "\n",
    "    m = NN_MERA(n, d, lamb, NN_shape, stddev)\n",
    "    for i in range(maxiter):\n",
    "        with tf.GradientTape() as tape:\n",
    "            e = tf.zeros([1], dtype=tf.float64)\n",
    "            for de in delta:\n",
    "                e += m(K.reshape(de, [1]))  # 将所有训练点的能量相加\n",
    "        grads = tape.gradient(e, m.variables)\n",
    "        opt.apply_gradients(zip(grads, m.variables))\n",
    "        if i % 500 == 0:\n",
    "            print(\"epoch\", i, \":\", e)\n",
    "\n",
    "    m.save_weights(\"NN-VQE.weights.h5\")  # 保存已训练的模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "e8df3d67",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 0 : tf.Tensor([[117.53523392]], shape=(1, 1), dtype=float64)\n",
      "epoch 500 : tf.Tensor([[-361.85937039]], shape=(1, 1), dtype=float64)\n",
      "epoch 1000 : tf.Tensor([[-365.35288984]], shape=(1, 1), dtype=float64)\n",
      "epoch 1500 : tf.Tensor([[-366.65891358]], shape=(1, 1), dtype=float64)\n",
      "epoch 2000 : tf.Tensor([[-366.94258369]], shape=(1, 1), dtype=float64)\n"
     ]
    }
   ],
   "source": [
    "n = 8  # 量子比特数\n",
    "d = 2  # 线路深度\n",
    "lamb = 0.75  # 固定参数\n",
    "delta = np.linspace(-3.0, 3.0, 20, dtype=\"complex128\")  # 训练集\n",
    "NN_shape = 20  # 隐层节点数\n",
    "maxiter = 2500  # 最大迭代轮数\n",
    "lr = 0.009  # 学习率\n",
    "stddev = 0.1  # 神经网络参数初始值的标准差\n",
    "\n",
    "with tf.device(\"/cpu:0\"):\n",
    "    train(n, d, lamb, delta, NN_shape=NN_shape, maxiter=maxiter, lr=lr, stddev=stddev)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "c5a7cdb0",
   "metadata": {},
   "source": [
    "## 测试\n",
    "\n",
    "我们使用较训练集更大的测试集来测试NN-VQE的准确性和泛化能力。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "f15f4f68",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4a3ceb8bdf90463f88050b771fde6925",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "0it [00:00, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_delta = np.linspace(-4.0, 4.0, 201)  # 测试集\n",
    "test_energies = tf.zeros_like(test_delta).numpy()\n",
    "m = NN_MERA(n, d, lamb, NN_shape, stddev)\n",
    "m.load_weights(\"NN-VQE.weights.h5\")\n",
    "for i, de in tqdm(enumerate(test_delta)):\n",
    "    test_energies[i] = m(K.reshape(de, [1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "924027f8",
   "metadata": {},
   "source": [
    "## 对比\n",
    "\n",
    "我们将NN-VQE的结果与解析解相比，计算基态能量相对误差。从图中可以看出，NN-VQE能够在无微调（fine-tuning）的情况下准确估计参数化哈密顿量的基态能量，且具有良好的泛化能力。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "c8668a13",
   "metadata": {},
   "outputs": [],
   "source": [
    "analytical_energies = []  # 解析解\n",
    "for i in test_delta:\n",
    "    h = quimb.tensor.tensor_builder.MPO_ham_XXZ(\n",
    "        n, i * 4, jxy=4.0, bz=2.0 * 0.75, S=0.5, cyclic=True\n",
    "    )\n",
    "    h = h.to_dense()\n",
    "    analytical_energies.append(np.min(quimb.eigvalsh(h)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "42799e3e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"396.015pt\" height=\"266.0675pt\" viewBox=\"0 0 396.015 266.0675\" 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>2023-08-06T23:44:26.082098</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.5.3, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 266.0675 \n",
       "L 396.015 266.0675 \n",
       "L 396.015 0 \n",
       "L 0 0 \n",
       "L 0 266.0675 \n",
       "z\n",
       "\" style=\"fill: none\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 54.015 224.64 \n",
       "L 388.815 224.64 \n",
       "L 388.815 7.2 \n",
       "L 54.015 7.2 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 107.278636 224.64 \n",
       "L 107.278636 7.2 \n",
       "L 335.551364 7.2 \n",
       "L 335.551364 224.64 \n",
       "z\n",
       "\" clip-path=\"url(#p453fe29342)\" style=\"fill: #a9a9a9; opacity: 0.5; stroke: #a9a9a9; stroke-linejoin: miter\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path id=\"mcfbc87972c\" 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=\"#mcfbc87972c\" x=\"69.233182\" y=\"224.64\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- −4 -->\n",
       "      <g transform=\"translate(61.862088 239.238438)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
       "L 4684 2272 \n",
       "L 4684 1741 \n",
       "L 678 1741 \n",
       "L 678 2272 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \n",
       "L 825 1625 \n",
       "L 2419 1625 \n",
       "L 2419 4116 \n",
       "z\n",
       "M 2253 4666 \n",
       "L 3047 4666 \n",
       "L 3047 1625 \n",
       "L 3713 1625 \n",
       "L 3713 1100 \n",
       "L 3047 1100 \n",
       "L 3047 0 \n",
       "L 2419 0 \n",
       "L 2419 1100 \n",
       "L 313 1100 \n",
       "L 313 1709 \n",
       "L 2253 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-34\" x=\"83.789062\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mcfbc87972c\" x=\"107.278636\" y=\"224.64\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- −3 -->\n",
       "      <g transform=\"translate(99.907543 239.238438)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
       "Q 3050 2419 3304 2112 \n",
       "Q 3559 1806 3559 1356 \n",
       "Q 3559 666 3084 287 \n",
       "Q 2609 -91 1734 -91 \n",
       "Q 1441 -91 1130 -33 \n",
       "Q 819 25 488 141 \n",
       "L 488 750 \n",
       "Q 750 597 1062 519 \n",
       "Q 1375 441 1716 441 \n",
       "Q 2309 441 2620 675 \n",
       "Q 2931 909 2931 1356 \n",
       "Q 2931 1769 2642 2001 \n",
       "Q 2353 2234 1838 2234 \n",
       "L 1294 2234 \n",
       "L 1294 2753 \n",
       "L 1863 2753 \n",
       "Q 2328 2753 2575 2939 \n",
       "Q 2822 3125 2822 3475 \n",
       "Q 2822 3834 2567 4026 \n",
       "Q 2313 4219 1838 4219 \n",
       "Q 1578 4219 1281 4162 \n",
       "Q 984 4106 628 3988 \n",
       "L 628 4550 \n",
       "Q 988 4650 1302 4700 \n",
       "Q 1616 4750 1894 4750 \n",
       "Q 2613 4750 3031 4423 \n",
       "Q 3450 4097 3450 3541 \n",
       "Q 3450 3153 3228 2886 \n",
       "Q 3006 2619 2597 2516 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-33\" x=\"83.789062\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mcfbc87972c\" x=\"145.324091\" y=\"224.64\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- −2 -->\n",
       "      <g transform=\"translate(137.952997 239.238438)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-32\" x=\"83.789062\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mcfbc87972c\" x=\"183.369545\" y=\"224.64\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- −1 -->\n",
       "      <g transform=\"translate(175.998452 239.238438)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-31\" x=\"83.789062\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mcfbc87972c\" x=\"221.415\" y=\"224.64\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(218.23375 239.238438)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mcfbc87972c\" x=\"259.460455\" y=\"224.64\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 1 -->\n",
       "      <g transform=\"translate(256.279205 239.238438)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mcfbc87972c\" x=\"297.505909\" y=\"224.64\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 2 -->\n",
       "      <g transform=\"translate(294.324659 239.238438)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mcfbc87972c\" x=\"335.551364\" y=\"224.64\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 3 -->\n",
       "      <g transform=\"translate(332.370114 239.238438)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-33\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mcfbc87972c\" x=\"373.596818\" y=\"224.64\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 4 -->\n",
       "      <g transform=\"translate(370.415568 239.238438)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_10\">\n",
       "     <!-- Delta -->\n",
       "     <g transform=\"translate(202.739219 255.955938)scale(0.14 -0.14)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-44\" d=\"M 1259 4147 \n",
       "L 1259 519 \n",
       "L 2022 519 \n",
       "Q 2988 519 3436 956 \n",
       "Q 3884 1394 3884 2338 \n",
       "Q 3884 3275 3436 3711 \n",
       "Q 2988 4147 2022 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "M 628 4666 \n",
       "L 1925 4666 \n",
       "Q 3281 4666 3915 4102 \n",
       "Q 4550 3538 4550 2338 \n",
       "Q 4550 1131 3912 565 \n",
       "Q 3275 0 1925 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
       "L 3597 1613 \n",
       "L 953 1613 \n",
       "Q 991 1019 1311 708 \n",
       "Q 1631 397 2203 397 \n",
       "Q 2534 397 2845 478 \n",
       "Q 3156 559 3463 722 \n",
       "L 3463 178 \n",
       "Q 3153 47 2828 -22 \n",
       "Q 2503 -91 2169 -91 \n",
       "Q 1331 -91 842 396 \n",
       "Q 353 884 353 1716 \n",
       "Q 353 2575 817 3079 \n",
       "Q 1281 3584 2069 3584 \n",
       "Q 2775 3584 3186 3129 \n",
       "Q 3597 2675 3597 1894 \n",
       "z\n",
       "M 3022 2063 \n",
       "Q 3016 2534 2758 2815 \n",
       "Q 2500 3097 2075 3097 \n",
       "Q 1594 3097 1305 2825 \n",
       "Q 1016 2553 972 2059 \n",
       "L 3022 2063 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-6c\" d=\"M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
       "L 1172 3500 \n",
       "L 2356 3500 \n",
       "L 2356 3053 \n",
       "L 1172 3053 \n",
       "L 1172 1153 \n",
       "Q 1172 725 1289 603 \n",
       "Q 1406 481 1766 481 \n",
       "L 2356 481 \n",
       "L 2356 0 \n",
       "L 1766 0 \n",
       "Q 1100 0 847 248 \n",
       "Q 594 497 594 1153 \n",
       "L 594 3053 \n",
       "L 172 3053 \n",
       "L 172 3500 \n",
       "L 594 3500 \n",
       "L 594 4494 \n",
       "L 1172 4494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-61\" d=\"M 2194 1759 \n",
       "Q 1497 1759 1228 1600 \n",
       "Q 959 1441 959 1056 \n",
       "Q 959 750 1161 570 \n",
       "Q 1363 391 1709 391 \n",
       "Q 2188 391 2477 730 \n",
       "Q 2766 1069 2766 1631 \n",
       "L 2766 1759 \n",
       "L 2194 1759 \n",
       "z\n",
       "M 3341 1997 \n",
       "L 3341 0 \n",
       "L 2766 0 \n",
       "L 2766 531 \n",
       "Q 2569 213 2275 61 \n",
       "Q 1981 -91 1556 -91 \n",
       "Q 1019 -91 701 211 \n",
       "Q 384 513 384 1019 \n",
       "Q 384 1609 779 1909 \n",
       "Q 1175 2209 1959 2209 \n",
       "L 2766 2209 \n",
       "L 2766 2266 \n",
       "Q 2766 2663 2505 2880 \n",
       "Q 2244 3097 1772 3097 \n",
       "Q 1472 3097 1187 3025 \n",
       "Q 903 2953 641 2809 \n",
       "L 641 3341 \n",
       "Q 956 3463 1253 3523 \n",
       "Q 1550 3584 1831 3584 \n",
       "Q 2591 3584 2966 3190 \n",
       "Q 3341 2797 3341 1997 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-44\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-65\" x=\"77.001953\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-6c\" x=\"138.525391\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-74\" x=\"166.308594\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-61\" x=\"205.517578\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <defs>\n",
       "       <path id=\"md61c262516\" 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=\"#md61c262516\" x=\"54.015\" y=\"214.785709\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.00 -->\n",
       "      <g transform=\"translate(24.749375 218.584928)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \n",
       "L 1344 794 \n",
       "L 1344 0 \n",
       "L 684 0 \n",
       "L 684 794 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#md61c262516\" x=\"54.015\" y=\"172.060202\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0.01 -->\n",
       "      <g transform=\"translate(24.749375 175.859421)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#md61c262516\" x=\"54.015\" y=\"129.334696\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 0.02 -->\n",
       "      <g transform=\"translate(24.749375 133.133914)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-32\" x=\"159.033203\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#md61c262516\" x=\"54.015\" y=\"86.609189\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0.03 -->\n",
       "      <g transform=\"translate(24.749375 90.408408)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-33\" x=\"159.033203\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#md61c262516\" x=\"54.015\" y=\"43.883682\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 0.04 -->\n",
       "      <g transform=\"translate(24.749375 47.682901)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-34\" x=\"159.033203\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- GS Relative Error -->\n",
       "     <g transform=\"translate(17.837813 175.526094)rotate(-90)scale(0.14 -0.14)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-47\" d=\"M 3809 666 \n",
       "L 3809 1919 \n",
       "L 2778 1919 \n",
       "L 2778 2438 \n",
       "L 4434 2438 \n",
       "L 4434 434 \n",
       "Q 4069 175 3628 42 \n",
       "Q 3188 -91 2688 -91 \n",
       "Q 1594 -91 976 548 \n",
       "Q 359 1188 359 2328 \n",
       "Q 359 3472 976 4111 \n",
       "Q 1594 4750 2688 4750 \n",
       "Q 3144 4750 3555 4637 \n",
       "Q 3966 4525 4313 4306 \n",
       "L 4313 3634 \n",
       "Q 3963 3931 3569 4081 \n",
       "Q 3175 4231 2741 4231 \n",
       "Q 1884 4231 1454 3753 \n",
       "Q 1025 3275 1025 2328 \n",
       "Q 1025 1384 1454 906 \n",
       "Q 1884 428 2741 428 \n",
       "Q 3075 428 3337 486 \n",
       "Q 3600 544 3809 666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-53\" d=\"M 3425 4513 \n",
       "L 3425 3897 \n",
       "Q 3066 4069 2747 4153 \n",
       "Q 2428 4238 2131 4238 \n",
       "Q 1616 4238 1336 4038 \n",
       "Q 1056 3838 1056 3469 \n",
       "Q 1056 3159 1242 3001 \n",
       "Q 1428 2844 1947 2747 \n",
       "L 2328 2669 \n",
       "Q 3034 2534 3370 2195 \n",
       "Q 3706 1856 3706 1288 \n",
       "Q 3706 609 3251 259 \n",
       "Q 2797 -91 1919 -91 \n",
       "Q 1588 -91 1214 -16 \n",
       "Q 841 59 441 206 \n",
       "L 441 856 \n",
       "Q 825 641 1194 531 \n",
       "Q 1563 422 1919 422 \n",
       "Q 2459 422 2753 634 \n",
       "Q 3047 847 3047 1241 \n",
       "Q 3047 1584 2836 1778 \n",
       "Q 2625 1972 2144 2069 \n",
       "L 1759 2144 \n",
       "Q 1053 2284 737 2584 \n",
       "Q 422 2884 422 3419 \n",
       "Q 422 4038 858 4394 \n",
       "Q 1294 4750 2059 4750 \n",
       "Q 2388 4750 2728 4690 \n",
       "Q 3069 4631 3425 4513 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
       "Q 3044 2119 3236 1894 \n",
       "Q 3428 1669 3622 1275 \n",
       "L 4263 0 \n",
       "L 3584 0 \n",
       "L 2988 1197 \n",
       "Q 2756 1666 2539 1819 \n",
       "Q 2322 1972 1947 1972 \n",
       "L 1259 1972 \n",
       "L 1259 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "L 2053 4666 \n",
       "Q 2853 4666 3247 4331 \n",
       "Q 3641 3997 3641 3322 \n",
       "Q 3641 2881 3436 2590 \n",
       "Q 3231 2300 2841 2188 \n",
       "z\n",
       "M 1259 4147 \n",
       "L 1259 2491 \n",
       "L 2053 2491 \n",
       "Q 2509 2491 2742 2702 \n",
       "Q 2975 2913 2975 3322 \n",
       "Q 2975 3731 2742 3939 \n",
       "Q 2509 4147 2053 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-76\" d=\"M 191 3500 \n",
       "L 800 3500 \n",
       "L 1894 563 \n",
       "L 2988 3500 \n",
       "L 3597 3500 \n",
       "L 2284 0 \n",
       "L 1503 0 \n",
       "L 191 3500 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-45\" d=\"M 628 4666 \n",
       "L 3578 4666 \n",
       "L 3578 4134 \n",
       "L 1259 4134 \n",
       "L 1259 2753 \n",
       "L 3481 2753 \n",
       "L 3481 2222 \n",
       "L 1259 2222 \n",
       "L 1259 531 \n",
       "L 3634 531 \n",
       "L 3634 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \n",
       "Q 2534 3019 2420 3045 \n",
       "Q 2306 3072 2169 3072 \n",
       "Q 1681 3072 1420 2755 \n",
       "Q 1159 2438 1159 1844 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1341 3275 1631 3429 \n",
       "Q 1922 3584 2338 3584 \n",
       "Q 2397 3584 2469 3576 \n",
       "Q 2541 3569 2628 3553 \n",
       "L 2631 2963 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-6f\" d=\"M 1959 3097 \n",
       "Q 1497 3097 1228 2736 \n",
       "Q 959 2375 959 1747 \n",
       "Q 959 1119 1226 758 \n",
       "Q 1494 397 1959 397 \n",
       "Q 2419 397 2687 759 \n",
       "Q 2956 1122 2956 1747 \n",
       "Q 2956 2369 2687 2733 \n",
       "Q 2419 3097 1959 3097 \n",
       "z\n",
       "M 1959 3584 \n",
       "Q 2709 3584 3137 3096 \n",
       "Q 3566 2609 3566 1747 \n",
       "Q 3566 888 3137 398 \n",
       "Q 2709 -91 1959 -91 \n",
       "Q 1206 -91 779 398 \n",
       "Q 353 888 353 1747 \n",
       "Q 353 2609 779 3096 \n",
       "Q 1206 3584 1959 3584 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-47\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-53\" x=\"77.490234\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" x=\"140.966797\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-52\" x=\"172.753906\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-65\" x=\"237.736328\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-6c\" x=\"299.259766\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-61\" x=\"327.042969\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-74\" x=\"388.322266\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-69\" x=\"427.53125\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-76\" x=\"455.314453\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-65\" x=\"514.494141\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" x=\"576.017578\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-45\" x=\"607.804688\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-72\" x=\"670.988281\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-72\" x=\"710.351562\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-6f\" x=\"749.214844\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-72\" x=\"810.396484\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path d=\"M 69.233182 158.868479 \n",
       "L 72.276818 168.237464 \n",
       "L 75.320455 176.580827 \n",
       "L 78.364091 183.957117 \n",
       "L 81.407727 190.421865 \n",
       "L 84.451364 196.026184 \n",
       "L 87.495 200.819225 \n",
       "L 90.538636 204.844608 \n",
       "L 92.060455 206.582058 \n",
       "L 93.582273 208.141387 \n",
       "L 95.104091 209.527434 \n",
       "L 96.625909 210.743602 \n",
       "L 98.147727 211.793253 \n",
       "L 99.669545 212.679453 \n",
       "L 101.191364 213.404718 \n",
       "L 102.713182 213.971068 \n",
       "L 104.235 214.380915 \n",
       "L 105.756818 214.635486 \n",
       "L 108.800455 214.736899 \n",
       "L 124.018636 214.741665 \n",
       "L 172.716818 214.611788 \n",
       "L 178.804091 214.34652 \n",
       "L 183.369545 213.888476 \n",
       "L 187.935 213.305943 \n",
       "L 189.456818 212.683565 \n",
       "L 190.978636 211.361528 \n",
       "L 192.500455 202.223414 \n",
       "L 194.022273 188.185587 \n",
       "L 195.544091 179.221636 \n",
       "L 197.065909 183.423421 \n",
       "L 198.587727 167.707424 \n",
       "L 200.109545 149.07734 \n",
       "L 201.631364 141.497417 \n",
       "L 203.153182 109.224754 \n",
       "L 204.675 94.128545 \n",
       "L 206.196818 93.56676 \n",
       "L 207.718636 104.796125 \n",
       "L 209.240455 125.141441 \n",
       "L 210.762273 136.321748 \n",
       "L 212.284091 127.337209 \n",
       "L 213.805909 119.298803 \n",
       "L 215.327727 109.582515 \n",
       "L 216.849545 98.200762 \n",
       "L 218.371364 95.751616 \n",
       "L 219.893182 93.960187 \n",
       "L 221.415 92.818705 \n",
       "L 222.936818 92.312112 \n",
       "L 224.458636 92.41911 \n",
       "L 225.980455 93.113335 \n",
       "L 227.502273 94.363899 \n",
       "L 229.024091 96.136152 \n",
       "L 230.545909 98.391631 \n",
       "L 232.067727 101.088492 \n",
       "L 233.589545 104.180587 \n",
       "L 235.111364 107.61751 \n",
       "L 238.155 115.29382 \n",
       "L 244.242273 131.76422 \n",
       "L 245.764091 120.869575 \n",
       "L 247.285909 107.714425 \n",
       "L 248.807727 96.676937 \n",
       "L 253.373182 60.196611 \n",
       "L 254.895 49.323958 \n",
       "L 256.416818 39.761441 \n",
       "L 257.938636 32.241914 \n",
       "L 259.460455 26.357299 \n",
       "L 260.982273 22.092783 \n",
       "L 262.504091 19.291226 \n",
       "L 264.025909 17.661493 \n",
       "L 265.547727 17.083636 \n",
       "L 267.069545 17.533794 \n",
       "L 268.591364 18.972697 \n",
       "L 270.113182 21.306606 \n",
       "L 271.635 24.392379 \n",
       "L 273.156818 28.043395 \n",
       "L 277.722273 40.025018 \n",
       "L 279.244091 43.455597 \n",
       "L 280.765909 47.683041 \n",
       "L 285.331364 63.323873 \n",
       "L 289.896818 77.947116 \n",
       "L 294.462273 91.528858 \n",
       "L 297.505909 100.00716 \n",
       "L 300.549545 108.03276 \n",
       "L 303.593182 115.616575 \n",
       "L 306.636818 122.769654 \n",
       "L 309.680455 129.503733 \n",
       "L 312.724091 135.829108 \n",
       "L 315.767727 141.752533 \n",
       "L 318.811364 147.278114 \n",
       "L 321.855 152.405425 \n",
       "L 324.898636 157.127816 \n",
       "L 327.942273 161.433298 \n",
       "L 330.985909 165.302762 \n",
       "L 334.029545 168.708378 \n",
       "L 337.073182 171.614461 \n",
       "L 340.116818 173.975616 \n",
       "L 341.638636 174.935114 \n",
       "L 343.160455 175.736545 \n",
       "L 344.682273 176.371588 \n",
       "L 346.204091 176.830932 \n",
       "L 347.725909 177.10481 \n",
       "L 349.247727 177.182527 \n",
       "L 350.769545 177.05327 \n",
       "L 352.291364 176.704573 \n",
       "L 353.813182 176.124241 \n",
       "L 355.335 175.299411 \n",
       "L 356.856818 174.216314 \n",
       "L 358.378636 172.860885 \n",
       "L 359.900455 171.218787 \n",
       "L 361.422273 169.274511 \n",
       "L 362.944091 167.013033 \n",
       "L 364.465909 164.418826 \n",
       "L 365.987727 161.47537 \n",
       "L 367.509545 158.16701 \n",
       "L 369.031364 154.477515 \n",
       "L 370.553182 150.390017 \n",
       "L 372.075 145.888692 \n",
       "L 373.596818 140.957095 \n",
       "L 373.596818 140.957095 \n",
       "\" clip-path=\"url(#p453fe29342)\" style=\"fill: none; stroke: #0000ff; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 54.015 224.64 \n",
       "L 54.015 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 388.815 224.64 \n",
       "L 388.815 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 54.015 224.64 \n",
       "L 388.815 224.64 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 54.015 7.2 \n",
       "L 388.815 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p453fe29342\">\n",
       "   <rect x=\"54.015\" y=\"7.2\" width=\"334.8\" height=\"217.44\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 基态能量相对误差\n",
    "plt.plot(\n",
    "    test_delta,\n",
    "    (test_energies - analytical_energies) / np.abs(analytical_energies),\n",
    "    \"-\",\n",
    "    color=\"b\",\n",
    ")\n",
    "plt.xlabel(\"Delta\", fontsize=14)\n",
    "plt.ylabel(\"GS Relative Error\", fontsize=14)\n",
    "plt.axvspan(-3.0, 3.0, color=\"darkgrey\", alpha=0.5)  # 训练集区间\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f9bda8a",
   "metadata": {},
   "source": [
    "想要获得更详细的信息或进一步的研究，请参考我们的[论文](https://arxiv.org/abs/2308.01068)和[GitHub](https://github.com/JachyMeow/NN-VQA)."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  },
  "vscode": {
   "interpreter": {
    "hash": "18d2a9923f839b0d86cf68fd09770e726264cf9d62311eaf57b1fff0ca4bed8e"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}