Python/Jupyter Notebook/Membrane.ipynb

{
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "python369jvsc74a57bd031f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6",
   "display_name": "Python 3.6.9 64-bit"
  },
  "metadata": {
   "interpreter": {
    "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2,
 "cells": [
  {
   "source": [
    "### Modeling the vibrational behavior in a isotropic model of the tympanic membrane.\n",
    "\n",
    "The tympanic membrane is a structure that resides in our ear. The behavior of that little membrane can be modeled by the wave equation:\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{\\partial^2 u}{\\partial t^2}=c^2\\frac{\\partial^2u}{\\partial x^2}\n",
    "\\end{equation}\n",
    "\n",
    "This equation will be constrained by the values:\n",
    "\n",
    "\\begin{equation}\n",
    "0<x<l\\hspace{2mm} \\land\\hspace{2mm} 0<t<t_f\n",
    "\\end{equation}\n",
    "\n",
    "The boundary conditions of our system will be:\n",
    "\n",
    "\\begin{equation}\n",
    "u(0,t)=u(l,t)=0 \\hspace{2mm}\n",
    "\\end{equation}\n",
    "\n",
    "And the initial conditions are:\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{\\partial u_x^0}{\\partial t}=0 \\hspace{2mm}\\land\\hspace{2mm} u(x,0)=sin(\\pi x)+\\frac{1}{2}cos(3\\pi x)\n",
    "\\end{equation}\n",
    "\n",
    "The values that we can use are:\n",
    "\n",
    "* $L_T=4x10^{-5}m$ that is the large of the tense part.\n",
    "* $L_f=1x10^{-4}m$ that is the large of the flacid part.\n",
    "* $t_0=0$\n",
    "* $t_f=2.42x10^{-7}s$\n",
    "* $E=2x10^7Pa$\n",
    "* $\\rho_T=1000kg/m^3$ being the density of the tense part.\n",
    "* $\\rho_f=1200kg/m^3$ being the density of the flacid part.\n",
    "* $\\mu=0.3$ being the Poison module.\n",
    "\n",
    "In this case, the propagation velocity $(c)$ is:\n",
    "\n",
    "\\begin{equation}\n",
    "c=\\sqrt{\\frac{E}{\\rho}\\frac{(1-\\mu)}{((1+\\mu)(1-2\\mu))}}\n",
    "\\end{equation}\n",
    "\n",
    "\n",
    "I'm gonna use finite difference to solve the PDE."
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "from numba import njit\n",
    "from jupyterthemes import jtplot\n",
    "jtplot.style(theme='monokai')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "The CFL condition is \nkf=0.9926993115122639\nkl=0.3624825371567432\n"
     ]
    }
   ],
   "source": [
    "#First, i'm gonna create all the variables.\n",
    "\n",
    "lt=4e-5\n",
    "lf=1e-4\n",
    "tf=2.42e-7\n",
    "E=2e7\n",
    "rhot=1000\n",
    "rhof=1200\n",
    "mu=0.3 \n",
    "\n",
    "#Now, create the variable c\n",
    "ct=np.sqrt((E/rhot)*((1-mu)/((1+mu)*(1-2*mu))))\n",
    "cf=np.sqrt((E/rhof)*((1-mu)/((1+mu)*(1-2*mu))))\n",
    "\n",
    "#Now, choose the number of grid points\n",
    "Nx=551\n",
    "Nt=551\n",
    "dxt=(lt)/(Nx-1)\n",
    "dxf=(lf)/(Nx-1)\n",
    "dt=(tf)/(Nt-1)\n",
    "\n",
    "#Create the arrays for x and t\n",
    "xt=np.linspace(0,lt,Nx)\n",
    "xf=np.linspace(0,lf,Nx)\n",
    "t=np.linspace(0,tf,Nt)\n",
    "\n",
    "@njit() #Create a function that calculates the cfl condition\n",
    "def cfl(c,dt,dx):\n",
    "    return c*(dt/dx)\n",
    "\n",
    "#Use it to calculate the CFL condition\n",
    "kt=cfl(ct,dt,dxt)\n",
    "kf=cfl(cf,dt,dxf)\n",
    "\n",
    "print('''The CFL condition is \n",
    "kt={f}\n",
    "kf={d}'''.format(f=kt,d=kf))"
   ]
  },
  {
   "source": [
    "## Explicit Method\n",
    "\n",
    "Now, it's time to make to use Finite Difference with our equation. The discretized derivates are:\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{\\partial^2 u}{\\partial x^2}\\approx\\frac{u_{x+1}^{t}-2u_{x}^{t}+u_{x-1}^{t}}{\\Delta x^2}\n",
    "\\end{equation}\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{\\partial^2 u}{\\partial t^2}\\approx\\frac{u_{x}^{t+1}-2u_{x}^{t}+u_{x}^{t-1}}{\\Delta t^2}\n",
    "\\end{equation}\n",
    "\n",
    "The discretized equation is:\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{u_{x}^{t+1}-2u_{x}^{t}+u_{x}^{t-1}}{\\Delta t^2}=c^2\\frac{u_{x+1}^{t}-2u_{x}^{t}+u_{x-1}^{t}}{\\Delta x^2}\n",
    "\\end{equation}\n",
    "\n",
    "Now, we can use some algebra and get the next equation:\n",
    "\n",
    "\\begin{equation}\n",
    "u_x^{t+1}=k^2(u_{x+1}^{t}+u_{x-1}^{t})+2u_{x}^{t}(1-k^2)-u_x^{t-1}\n",
    "\\end{equation}\n",
    "\n",
    "where $k=c\\frac{dt}{dx}$.\n",
    "\n",
    "This equation can now be programmed. But first, we need to check the first time step so we can calculate $u_x^2$ using $u_x^1$ and $u_x^0$. That means:\n",
    "\n",
    "\\begin{equation}\n",
    "u_x^1=k^2(u_{x+1}^{0}+u_{x-1}^{0})+2u_{x}^{0}(1-k^2)-u_x^{-1}\n",
    "\\end{equation}\n",
    "\n",
    "We don't know $u_x^{-1}$, that's outside our time domain and our time mesh, how we can calculate? Well, we can calculate the discretized form our a first time derivate, that means:\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{\\partial u_x^{0}}{\\partial t}\\approx\\frac{u_x^1-u_x^{-1}}{2\\Delta t}\n",
    "\\end{equation}\n",
    "\n",
    "We know that from our initial conditions, we can get $\\frac{\\partial u_x^0}{\\partial t}=0$. So we have:\n",
    "\n",
    "\\begin{equation} u_x^{-1}=u_x^1 \\end{equation}\n",
    "\n",
    "So, back to our equation to calculate $u_x^1$, we have:\n",
    "\n",
    "\\begin{equation}\n",
    "u_x^1=\\frac{1}{2}k^2(u_{x+1}^{0}+u_{x-1}^{0})+u_{x}^{0}(1-k^2)\n",
    "\\end{equation}\n",
    "\n",
    "Now, we have everything that we need for compute the solution.\n",
    "\n",
    "Thanks to the book **Finite Difference Computing with PDEs** written by Hans Petter Langtangen and Svein Linge."
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "@njit() #Function to execute finite difference method\n",
    "def fdm(Nx,Nt,l,tf,k,x,t,n):\n",
    "    u=np.zeros((Nx,Nt))\n",
    "    u=BC(u,l,Nx,Nt) #First, we initialize the BC\n",
    "    u=IC(u,Nt,Nx,x,k,n,l) #And nowm we calculate the IC\n",
    "\n",
    "    for j in range(1,Nt-1):\n",
    "        for i in range(Nx-1):\n",
    "            u[i,j+1]=k**2*(u[i+1,j]+u[i-1,j])+2*u[i,j]*(1-k**2)-u[i,j-1]\n",
    "        u=BC(u,l,Nx,Nt)\n",
    "    return u\n",
    "\n",
    "@njit() #With this, we can calculate the initial conditions\n",
    "def IC(u,Nt,Nx,x,k,n,l):\n",
    "    for j in range(1,Nx-2):\n",
    "        u[j,0]=np.sin(n*np.pi*x[j]/l)\n",
    "        #u[j,0]=np.sin(np.pi*x[i])+0.5*np.sin(3*np.pi*x[i])\n",
    "    for i in range(Nx-1):\n",
    "        u[i,1]=0.5*k**2*(u[i+1,0]+u[i-1,0])+u[i,0]*(1-k**2)\n",
    "    return u\n",
    "\n",
    "@njit() #This is for the boundary conditions\n",
    "def BC(u,l,Nx,Nt):\n",
    "    for j in range(Nt-1):\n",
    "        u[0,j]=0\n",
    "        u[Nx-1,j]=0\n",
    "    return u"
   ]
  },
  {
   "source": [
    "Now, we can calculate the results and plotting them"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 1584x864 with 10 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"719.394938pt\" version=\"1.1\" viewBox=\"0 0 1266.175156 719.394938\" width=\"1266.175156pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" 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>2021-04-25T00:28:45.892323</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.3.1, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 719.394938 \nL 1266.175156 719.394938 \nL 1266.175156 0 \nL 0 0 \nz\n\" style=\"fill:#232323;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 31.375156 136.612966 \nL 589.375156 136.612966 \nL 589.375156 24.144 \nL 31.375156 24.144 \nz\n\" style=\"fill:#232323;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\"/>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p0df343974e)\" d=\"M 31.375156 131.50074 \nL 589.375156 131.50074 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_2\"/>\n     <g id=\"text_1\">\n      <!-- −1 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(7.2 136.287755)scale(0.126 -0.126)\">\n       <defs>\n        <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n        <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p0df343974e)\" d=\"M 31.375156 80.378483 \nL 589.375156 80.378483 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_4\"/>\n     <g id=\"text_2\">\n      <!-- 0 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(17.758406 85.165498)scale(0.126 -0.126)\">\n       <defs>\n        <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p0df343974e)\" d=\"M 31.375156 29.256226 \nL 589.375156 29.256226 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_6\"/>\n     <g id=\"text_3\">\n      <!-- 1 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(17.758406 34.043241)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_7\">\n    <path clip-path=\"url(#p0df343974e)\" d=\"M 56.738793 80.378483 \nL 94.553669 68.515226 \nL 114.844578 62.376359 \nL 132.368545 57.299649 \nL 148.047884 52.985808 \nL 162.804908 49.160785 \nL 176.639619 45.810896 \nL 189.552016 42.912676 \nL 201.542098 40.435515 \nL 213.532181 38.178496 \nL 225.522264 36.154058 \nL 236.590032 34.50145 \nL 247.657801 33.064299 \nL 258.725569 31.849356 \nL 269.793338 30.862325 \nL 280.861107 30.107844 \nL 291.928875 29.589454 \nL 302.996644 29.309591 \nL 314.064412 29.269569 \nL 325.132181 29.469575 \nL 336.19995 29.908672 \nL 347.267718 30.584795 \nL 358.335487 31.494771 \nL 369.403255 32.634325 \nL 380.471024 33.998105 \nL 391.538793 35.579707 \nL 403.528875 37.530276 \nL 415.518958 39.716999 \nL 427.509041 42.127823 \nL 440.421437 44.959451 \nL 453.333834 48.017457 \nL 467.168545 51.522871 \nL 481.925569 55.494661 \nL 497.604908 59.941473 \nL 516.051189 65.416268 \nL 538.186726 72.237025 \nL 562.166892 79.794476 \nL 563.089206 80.378483 \nL 564.01152 80.378483 \nL 564.01152 80.378483 \n\" style=\"fill:none;stroke:#3572c6;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_8\">\n    <path clip-path=\"url(#p0df343974e)\" d=\"M 56.738793 80.378483 \nL 226.444578 79.86645 \nL 243.968545 79.842872 \nL 265.181768 79.80879 \nL 272.56028 79.815203 \nL 279.938793 79.793242 \nL 285.472677 79.809735 \nL 291.006561 79.782449 \nL 294.695817 79.808134 \nL 298.385074 79.779297 \nL 302.07433 79.82162 \nL 303.918958 79.780565 \nL 305.763586 79.786293 \nL 307.608214 79.729321 \nL 312.219784 79.850172 \nL 314.064412 79.665944 \nL 315.909041 79.866952 \nL 316.831355 79.751222 \nL 321.442925 79.820077 \nL 323.287553 79.811407 \nL 329.743751 79.784047 \nL 333.433007 79.797459 \nL 352.801603 79.81083 \nL 528.963586 80.252383 \nL 564.01152 80.378483 \nL 564.01152 80.378483 \n\" style=\"fill:none;stroke:#83a83b;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_9\">\n    <path clip-path=\"url(#p0df343974e)\" d=\"M 56.738793 80.666873 \nL 57.661107 80.675637 \nL 61.350363 81.82262 \nL 63.194991 82.351766 \nL 65.039619 83.06076 \nL 65.961933 83.245377 \nL 71.495817 85.039338 \nL 75.185074 86.187059 \nL 77.029702 86.766272 \nL 83.4859 88.824537 \nL 87.175156 89.939682 \nL 90.864412 91.110151 \nL 96.398297 92.794416 \nL 101.932181 94.506776 \nL 109.310693 96.722126 \nL 122.22309 100.540088 \nL 136.980115 104.743316 \nL 152.659454 108.986357 \nL 168.338793 112.953863 \nL 178.484247 115.362224 \nL 187.707388 117.436452 \nL 202.464412 120.491261 \nL 213.532181 122.568681 \nL 226.444578 124.736889 \nL 237.512346 126.373512 \nL 251.347057 128.112148 \nL 265.181768 129.498838 \nL 276.249536 130.350538 \nL 287.317305 130.967434 \nL 298.385074 131.346589 \nL 309.452842 131.485552 \nL 319.598297 131.40384 \nL 329.743751 131.120958 \nL 341.733834 130.527599 \nL 353.723917 129.657385 \nL 365.713999 128.51424 \nL 375.859454 127.338857 \nL 384.16028 126.243191 \nL 395.228049 124.590137 \nL 406.295817 122.733 \nL 420.130528 120.129218 \nL 433.965239 117.2318 \nL 445.033007 114.72394 \nL 465.323917 109.710856 \nL 492.071024 102.406564 \nL 516.051189 95.343958 \nL 528.963586 91.377576 \nL 534.49747 89.680752 \nL 540.031355 87.939244 \nL 552.021437 84.173475 \nL 556.633007 82.742211 \nL 559.39995 81.787692 \nL 564.01152 80.378483 \nL 564.01152 80.378483 \n\" style=\"fill:none;stroke:#c44e52;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 31.375156 136.612966 \nL 31.375156 24.144 \n\" style=\"fill:none;stroke:#888888;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.12;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 31.375156 24.144 \nL 589.375156 24.144 \n\" style=\"fill:none;stroke:#888888;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.12;\"/>\n   </g>\n   <g id=\"text_4\">\n    <!-- $n=1$ -->\n    <g style=\"fill:#bbbbbb;\" transform=\"translate(564.01152 39.480677)scale(0.15 -0.15)\">\n     <defs>\n      <path d=\"M 55.71875 33.015625 \nL 49.3125 0 \nL 40.28125 0 \nL 46.6875 32.671875 \nQ 47.125 34.96875 47.359375 36.71875 \nQ 47.609375 38.484375 47.609375 39.5 \nQ 47.609375 43.609375 45.015625 45.890625 \nQ 42.4375 48.1875 37.796875 48.1875 \nQ 30.5625 48.1875 25.34375 43.375 \nQ 20.125 38.578125 18.5 30.328125 \nL 12.5 0 \nL 3.515625 0 \nL 14.109375 54.6875 \nL 23.09375 54.6875 \nL 21.296875 46.09375 \nQ 25.046875 50.828125 30.3125 53.40625 \nQ 35.59375 56 41.40625 56 \nQ 48.640625 56 52.609375 52.09375 \nQ 56.59375 48.1875 56.59375 41.109375 \nQ 56.59375 39.359375 56.375 37.359375 \nQ 56.15625 35.359375 55.71875 33.015625 \nz\n\" id=\"DejaVuSans-Oblique-110\"/>\n      <path d=\"M 10.59375 45.40625 \nL 73.1875 45.40625 \nL 73.1875 37.203125 \nL 10.59375 37.203125 \nz\nM 10.59375 25.484375 \nL 73.1875 25.484375 \nL 73.1875 17.1875 \nL 10.59375 17.1875 \nz\n\" id=\"DejaVuSans-61\"/>\n     </defs>\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-110\"/>\n     <use transform=\"translate(82.861328 0.09375)\" xlink:href=\"#DejaVuSans-61\"/>\n     <use transform=\"translate(186.132812 0.09375)\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_5\">\n    <!-- $u_T$ for the Tense part -->\n    <g style=\"fill:#bbbbbb;\" transform=\"translate(235.279156 18.144)scale(0.144 -0.144)\">\n     <defs>\n      <path d=\"M 6.6875 21.6875 \nL 13.09375 54.6875 \nL 22.125 54.6875 \nL 15.71875 22.015625 \nQ 15.234375 19.625 15.015625 17.921875 \nQ 14.796875 16.21875 14.796875 15.09375 \nQ 14.796875 10.9375 17.328125 8.65625 \nQ 19.875 6.390625 24.515625 6.390625 \nQ 31.734375 6.390625 37 11.265625 \nQ 42.28125 16.15625 43.890625 24.421875 \nL 49.90625 54.6875 \nL 58.890625 54.6875 \nL 48.296875 0 \nL 39.3125 0 \nL 41.109375 8.59375 \nQ 37.3125 3.8125 32.0625 1.1875 \nQ 26.8125 -1.421875 20.90625 -1.421875 \nQ 13.71875 -1.421875 9.71875 2.515625 \nQ 5.71875 6.453125 5.71875 13.484375 \nQ 5.71875 14.9375 5.953125 17.140625 \nQ 6.203125 19.34375 6.6875 21.6875 \nz\n\" id=\"DejaVuSans-Oblique-117\"/>\n      <path d=\"M 5.90625 72.90625 \nL 67.578125 72.90625 \nL 66.015625 64.59375 \nL 39.984375 64.59375 \nL 27.484375 0 \nL 17.578125 0 \nL 30.078125 64.59375 \nL 4.296875 64.59375 \nz\n\" id=\"DejaVuSans-Oblique-84\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M -0.296875 72.90625 \nL 61.375 72.90625 \nL 61.375 64.59375 \nL 35.5 64.59375 \nL 35.5 0 \nL 25.59375 0 \nL 25.59375 64.59375 \nL -0.296875 64.59375 \nz\n\" id=\"DejaVuSans-84\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n     </defs>\n     <use transform=\"translate(0 0.015625)\" xlink:href=\"#DejaVuSans-Oblique-117\"/>\n     <use transform=\"translate(63.378906 -16.390625)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-84\"/>\n     <use transform=\"translate(108.87207 0.015625)\" xlink:href=\"#DejaVuSans-32\"/>\n     <use transform=\"translate(140.65918 0.015625)\" xlink:href=\"#DejaVuSans-102\"/>\n     <use transform=\"translate(175.864258 0.015625)\" xlink:href=\"#DejaVuSans-111\"/>\n     <use transform=\"translate(237.045898 0.015625)\" xlink:href=\"#DejaVuSans-114\"/>\n     <use transform=\"translate(278.15918 0.015625)\" xlink:href=\"#DejaVuSans-32\"/>\n     <use transform=\"translate(309.946289 0.015625)\" xlink:href=\"#DejaVuSans-116\"/>\n     <use transform=\"translate(349.155273 0.015625)\" xlink:href=\"#DejaVuSans-104\"/>\n     <use transform=\"translate(412.53418 0.015625)\" xlink:href=\"#DejaVuSans-101\"/>\n     <use transform=\"translate(474.057617 0.015625)\" xlink:href=\"#DejaVuSans-32\"/>\n     <use transform=\"translate(505.844727 0.015625)\" xlink:href=\"#DejaVuSans-84\"/>\n     <use transform=\"translate(566.928711 0.015625)\" xlink:href=\"#DejaVuSans-101\"/>\n     <use transform=\"translate(628.452148 0.015625)\" xlink:href=\"#DejaVuSans-110\"/>\n     <use transform=\"translate(691.831055 0.015625)\" xlink:href=\"#DejaVuSans-115\"/>\n     <use transform=\"translate(743.930664 0.015625)\" xlink:href=\"#DejaVuSans-101\"/>\n     <use transform=\"translate(805.454102 0.015625)\" xlink:href=\"#DejaVuSans-32\"/>\n     <use transform=\"translate(837.241211 0.015625)\" xlink:href=\"#DejaVuSans-112\"/>\n     <use transform=\"translate(900.717773 0.015625)\" xlink:href=\"#DejaVuSans-97\"/>\n     <use transform=\"translate(961.99707 0.015625)\" xlink:href=\"#DejaVuSans-114\"/>\n     <use transform=\"translate(1003.110352 0.015625)\" xlink:href=\"#DejaVuSans-116\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_5\">\n    <path d=\"M 700.975156 136.612966 \nL 1258.975156 136.612966 \nL 1258.975156 24.144 \nL 700.975156 24.144 \nz\n\" style=\"fill:#232323;\"/>\n   </g>\n   <g id=\"matplotlib.axis_3\"/>\n   <g id=\"matplotlib.axis_4\">\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <path clip-path=\"url(#pe5c1ad0414)\" d=\"M 700.975156 131.50074 \nL 1258.975156 131.50074 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_11\"/>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_12\">\n      <path clip-path=\"url(#pe5c1ad0414)\" d=\"M 700.975156 80.378483 \nL 1258.975156 80.378483 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_13\"/>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_14\">\n      <path clip-path=\"url(#pe5c1ad0414)\" d=\"M 700.975156 29.256226 \nL 1258.975156 29.256226 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_15\"/>\n    </g>\n   </g>\n   <g id=\"line2d_16\">\n    <path clip-path=\"url(#pe5c1ad0414)\" d=\"M 726.338793 80.378483 \nL 764.153669 68.515226 \nL 784.444578 62.376359 \nL 801.968545 57.299649 \nL 817.647884 52.985808 \nL 832.404908 49.160785 \nL 846.239619 45.810896 \nL 859.152016 42.912676 \nL 871.142098 40.435515 \nL 883.132181 38.178496 \nL 895.122264 36.154058 \nL 906.190032 34.50145 \nL 917.257801 33.064299 \nL 928.325569 31.849356 \nL 939.393338 30.862325 \nL 950.461107 30.107844 \nL 961.528875 29.589454 \nL 972.596644 29.309591 \nL 983.664412 29.269569 \nL 994.732181 29.469575 \nL 1005.79995 29.908672 \nL 1016.867718 30.584795 \nL 1027.935487 31.494771 \nL 1039.003255 32.634325 \nL 1050.071024 33.998105 \nL 1061.138793 35.579707 \nL 1073.128875 37.530276 \nL 1085.118958 39.716999 \nL 1097.109041 42.127823 \nL 1110.021437 44.959451 \nL 1122.933834 48.017457 \nL 1136.768545 51.522871 \nL 1151.525569 55.494661 \nL 1167.204908 59.941473 \nL 1185.651189 65.416268 \nL 1207.786726 72.237025 \nL 1231.766892 79.794476 \nL 1232.689206 80.378483 \nL 1233.61152 80.378483 \nL 1233.61152 80.378483 \n\" style=\"fill:none;stroke:#3572c6;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_17\">\n    <path clip-path=\"url(#pe5c1ad0414)\" d=\"M 726.338793 80.378483 \nL 766.920611 69.670536 \nL 788.133834 64.299592 \nL 807.502429 59.634869 \nL 823.181768 56.075306 \nL 838.861107 52.743981 \nL 853.618131 49.845884 \nL 867.452842 47.359941 \nL 880.365239 45.257943 \nL 893.277636 43.380416 \nL 906.190032 41.73936 \nL 918.180115 40.436453 \nL 930.170198 39.353682 \nL 942.16028 38.497015 \nL 954.150363 37.871173 \nL 966.140446 37.479606 \nL 978.130528 37.324472 \nL 990.120611 37.406625 \nL 1002.110693 37.725613 \nL 1014.100776 38.279678 \nL 1026.090859 39.065766 \nL 1038.080941 40.079545 \nL 1050.071024 41.315427 \nL 1062.061107 42.766601 \nL 1074.973503 44.560974 \nL 1087.8859 46.584274 \nL 1100.798297 48.823567 \nL 1114.633007 51.44621 \nL 1129.390032 54.477156 \nL 1146.913999 58.319583 \nL 1152.447884 59.599184 \nL 1163.515652 62.290496 \nL 1168.127222 63.426495 \nL 1169.97185 63.813661 \nL 1171.816479 64.322691 \nL 1173.661107 64.747407 \nL 1175.505735 65.208613 \nL 1179.194991 66.107336 \nL 1181.039619 66.630878 \nL 1182.884247 67.074386 \nL 1186.573503 68.038047 \nL 1188.418131 68.487079 \nL 1192.107388 69.444237 \nL 1194.87433 70.144376 \nL 1202.252842 72.0585 \nL 1217.009867 75.968768 \nL 1222.543751 77.432139 \nL 1233.61152 80.378483 \nL 1233.61152 80.378483 \n\" style=\"fill:none;stroke:#83a83b;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_18\">\n    <path clip-path=\"url(#pe5c1ad0414)\" d=\"M 726.338793 80.362345 \nL 732.794991 79.522836 \nL 777.988379 73.647517 \nL 805.657801 70.281399 \nL 827.793338 67.796357 \nL 849.928875 65.547957 \nL 870.219784 63.730699 \nL 887.743751 62.371758 \nL 905.267718 61.222701 \nL 921.869371 60.344107 \nL 938.471024 59.676279 \nL 955.072677 59.227102 \nL 971.67433 59.001321 \nL 988.275983 59.001321 \nL 1004.877636 59.227102 \nL 1021.479288 59.676279 \nL 1038.080941 60.344135 \nL 1056.527222 61.312086 \nL 1098.031355 64.445146 \nL 1102.642925 64.886055 \nL 1105.409867 65.123375 \nL 1110.021437 65.561764 \nL 1111.866065 65.720812 \nL 1115.555322 66.102292 \nL 1133.079288 67.890269 \nL 1136.768545 68.317536 \nL 1140.457801 68.688322 \nL 1153.370198 70.166416 \nL 1175.505735 72.828244 \nL 1179.194991 73.305818 \nL 1184.728875 73.991487 \nL 1192.107388 74.945132 \nL 1197.641272 75.646885 \nL 1214.242925 77.820472 \nL 1229.922264 79.890203 \nL 1233.61152 80.378483 \nL 1233.61152 80.378483 \n\" style=\"fill:none;stroke:#c44e52;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 700.975156 24.144 \nL 1258.975156 24.144 \n\" style=\"fill:none;stroke:#888888;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.12;\"/>\n   </g>\n   <g id=\"text_6\">\n    <!-- $u_f$ for the flacid part -->\n    <g style=\"fill:#bbbbbb;\" transform=\"translate(908.263156 18.144)scale(0.144 -0.144)\">\n     <defs>\n      <path d=\"M 47.796875 75.984375 \nL 46.390625 68.5 \nL 37.796875 68.5 \nQ 32.90625 68.5 30.6875 66.578125 \nQ 28.46875 64.65625 27.390625 59.515625 \nL 26.421875 54.6875 \nL 41.21875 54.6875 \nL 39.890625 47.703125 \nL 25.09375 47.703125 \nL 15.828125 0 \nL 6.78125 0 \nL 16.109375 47.703125 \nL 7.515625 47.703125 \nL 8.796875 54.6875 \nL 17.390625 54.6875 \nL 18.109375 58.5 \nQ 19.96875 68.171875 24.625 72.078125 \nQ 29.296875 75.984375 39.3125 75.984375 \nz\n\" id=\"DejaVuSans-Oblique-102\"/>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n     </defs>\n     <use transform=\"translate(0 0.015625)\" xlink:href=\"#DejaVuSans-Oblique-117\"/>\n     <use transform=\"translate(63.378906 -16.390625)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-102\"/>\n     <use transform=\"translate(90.756836 0.015625)\" xlink:href=\"#DejaVuSans-32\"/>\n     <use transform=\"translate(122.543945 0.015625)\" xlink:href=\"#DejaVuSans-102\"/>\n     <use transform=\"translate(157.749023 0.015625)\" xlink:href=\"#DejaVuSans-111\"/>\n     <use transform=\"translate(218.930664 0.015625)\" xlink:href=\"#DejaVuSans-114\"/>\n     <use transform=\"translate(260.043945 0.015625)\" xlink:href=\"#DejaVuSans-32\"/>\n     <use transform=\"translate(291.831055 0.015625)\" xlink:href=\"#DejaVuSans-116\"/>\n     <use transform=\"translate(331.040039 0.015625)\" xlink:href=\"#DejaVuSans-104\"/>\n     <use transform=\"translate(394.418945 0.015625)\" xlink:href=\"#DejaVuSans-101\"/>\n     <use transform=\"translate(455.942383 0.015625)\" xlink:href=\"#DejaVuSans-32\"/>\n     <use transform=\"translate(487.729492 0.015625)\" xlink:href=\"#DejaVuSans-102\"/>\n     <use transform=\"translate(522.93457 0.015625)\" xlink:href=\"#DejaVuSans-108\"/>\n     <use transform=\"translate(550.717773 0.015625)\" xlink:href=\"#DejaVuSans-97\"/>\n     <use transform=\"translate(611.99707 0.015625)\" xlink:href=\"#DejaVuSans-99\"/>\n     <use transform=\"translate(666.977539 0.015625)\" xlink:href=\"#DejaVuSans-105\"/>\n     <use transform=\"translate(694.760742 0.015625)\" xlink:href=\"#DejaVuSans-100\"/>\n     <use transform=\"translate(758.237305 0.015625)\" xlink:href=\"#DejaVuSans-32\"/>\n     <use transform=\"translate(790.024414 0.015625)\" xlink:href=\"#DejaVuSans-112\"/>\n     <use transform=\"translate(853.500977 0.015625)\" xlink:href=\"#DejaVuSans-97\"/>\n     <use transform=\"translate(914.780273 0.015625)\" xlink:href=\"#DejaVuSans-114\"/>\n     <use transform=\"translate(955.893555 0.015625)\" xlink:href=\"#DejaVuSans-116\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 941.923156 130.312966 \nL 1018.027156 130.312966 \nQ 1020.547156 130.312966 1020.547156 127.792966 \nL 1020.547156 73.569653 \nQ 1020.547156 71.049653 1018.027156 71.049653 \nL 941.923156 71.049653 \nQ 939.403156 71.049653 939.403156 73.569653 \nL 939.403156 127.792966 \nQ 939.403156 130.312966 941.923156 130.312966 \nz\n\" style=\"fill:#232323;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;stroke-width:0.16;\"/>\n    </g>\n    <g id=\"line2d_19\">\n     <path d=\"M 944.443156 81.253684 \nL 969.643156 81.253684 \n\" style=\"fill:none;stroke:#3572c6;stroke-linecap:square;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_20\"/>\n    <g id=\"text_7\">\n     <!-- t=0 -->\n     <g style=\"fill:#bbbbbb;\" transform=\"translate(979.723156 85.663684)scale(0.126 -0.126)\">\n      <use xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-61\"/>\n      <use x=\"122.998047\" xlink:href=\"#DejaVuSans-48\"/>\n     </g>\n    </g>\n    <g id=\"line2d_21\">\n     <path d=\"M 944.443156 99.748122 \nL 969.643156 99.748122 \n\" style=\"fill:none;stroke:#83a83b;stroke-linecap:square;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_22\"/>\n    <g id=\"text_8\">\n     <!-- t=$t_f/2$ -->\n     <g style=\"fill:#bbbbbb;\" transform=\"translate(979.723156 104.158122)scale(0.126 -0.126)\">\n      <defs>\n       <path d=\"M 42.28125 54.6875 \nL 40.921875 47.703125 \nL 23 47.703125 \nL 17.1875 18.015625 \nQ 16.890625 16.359375 16.75 15.234375 \nQ 16.609375 14.109375 16.609375 13.484375 \nQ 16.609375 10.359375 18.484375 8.9375 \nQ 20.359375 7.515625 24.515625 7.515625 \nL 33.59375 7.515625 \nL 32.078125 0 \nL 23.484375 0 \nQ 15.484375 0 11.546875 3.125 \nQ 7.625 6.25 7.625 12.59375 \nQ 7.625 13.71875 7.765625 15.0625 \nQ 7.90625 16.40625 8.203125 18.015625 \nL 14.015625 47.703125 \nL 6.390625 47.703125 \nL 7.8125 54.6875 \nL 15.28125 54.6875 \nL 18.3125 70.21875 \nL 27.296875 70.21875 \nL 24.3125 54.6875 \nz\n\" id=\"DejaVuSans-Oblique-116\"/>\n       <path d=\"M 25.390625 72.90625 \nL 33.6875 72.90625 \nL 8.296875 -9.28125 \nL 0 -9.28125 \nz\n\" id=\"DejaVuSans-47\"/>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-116\"/>\n      <use transform=\"translate(39.208984 0.78125)\" xlink:href=\"#DejaVuSans-61\"/>\n      <use transform=\"translate(122.998047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n      <use transform=\"translate(162.207031 -15.625)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-102\"/>\n      <use transform=\"translate(189.584961 0.78125)\" xlink:href=\"#DejaVuSans-47\"/>\n      <use transform=\"translate(219.651367 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n     </g>\n    </g>\n    <g id=\"line2d_23\">\n     <path d=\"M 944.443156 118.242559 \nL 969.643156 118.242559 \n\" style=\"fill:none;stroke:#c44e52;stroke-linecap:square;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_24\"/>\n    <g id=\"text_9\">\n     <!-- t=$t_f$ -->\n     <g style=\"fill:#bbbbbb;\" transform=\"translate(979.723156 122.652559)scale(0.126 -0.126)\">\n      <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-116\"/>\n      <use transform=\"translate(39.208984 0.78125)\" xlink:href=\"#DejaVuSans-61\"/>\n      <use transform=\"translate(122.998047 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-116\"/>\n      <use transform=\"translate(162.207031 -15.625)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-102\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_8\">\n    <path d=\"M 31.375156 271.575724 \nL 589.375156 271.575724 \nL 589.375156 159.106759 \nL 31.375156 159.106759 \nz\n\" style=\"fill:#232323;\"/>\n   </g>\n   <g id=\"matplotlib.axis_5\"/>\n   <g id=\"matplotlib.axis_6\">\n    <g id=\"ytick_7\">\n     <g id=\"line2d_25\">\n      <path clip-path=\"url(#p516d22b96b)\" d=\"M 31.375156 266.463498 \nL 589.375156 266.463498 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_26\"/>\n     <g id=\"text_10\">\n      <!-- −1 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(7.2 271.250514)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_27\">\n      <path clip-path=\"url(#p516d22b96b)\" d=\"M 31.375156 215.341241 \nL 589.375156 215.341241 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_28\"/>\n     <g id=\"text_11\">\n      <!-- 0 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(17.758406 220.128257)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_9\">\n     <g id=\"line2d_29\">\n      <path clip-path=\"url(#p516d22b96b)\" d=\"M 31.375156 164.218984 \nL 589.375156 164.218984 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_30\"/>\n     <g id=\"text_12\">\n      <!-- 1 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(17.758406 169.006)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_31\">\n    <path clip-path=\"url(#p516d22b96b)\" d=\"M 56.738793 215.341241 \nL 76.107388 203.194142 \nL 87.175156 196.521883 \nL 96.398297 191.226282 \nL 104.699123 186.727145 \nL 112.077636 182.980216 \nL 119.456148 179.503393 \nL 125.912346 176.705617 \nL 132.368545 174.154779 \nL 138.824743 171.867182 \nL 144.358627 170.127034 \nL 149.892512 168.59923 \nL 155.426396 167.290946 \nL 160.96028 166.208327 \nL 166.494165 165.356456 \nL 172.028049 164.739335 \nL 177.561933 164.359862 \nL 183.095817 164.219818 \nL 188.629702 164.319862 \nL 194.163586 164.659524 \nL 199.69747 165.237209 \nL 205.231355 166.050203 \nL 210.765239 167.094688 \nL 216.299123 168.365759 \nL 221.833007 169.857447 \nL 227.366892 171.562746 \nL 232.900776 173.473647 \nL 239.356974 175.950865 \nL 245.813173 178.679845 \nL 252.269371 181.643144 \nL 259.647884 185.292333 \nL 267.026396 189.192329 \nL 275.327222 193.839015 \nL 284.550363 199.266137 \nL 295.618131 206.048878 \nL 314.064412 217.676506 \nL 330.666065 228.05483 \nL 340.81152 234.160599 \nL 350.03466 239.456201 \nL 358.335487 243.955338 \nL 365.713999 247.702267 \nL 373.092512 251.17909 \nL 379.54871 253.976865 \nL 386.004908 256.527703 \nL 392.461107 258.8153 \nL 397.994991 260.555449 \nL 403.528875 262.083253 \nL 409.06276 263.391536 \nL 414.596644 264.474156 \nL 420.130528 265.326026 \nL 425.664412 265.943148 \nL 431.198297 266.322621 \nL 436.732181 266.462664 \nL 442.266065 266.36262 \nL 447.79995 266.022958 \nL 453.333834 265.445274 \nL 458.867718 264.63228 \nL 464.401603 263.587795 \nL 469.935487 262.316723 \nL 475.469371 260.825035 \nL 481.003255 259.119737 \nL 486.53714 257.208836 \nL 492.993338 254.731617 \nL 499.449536 252.002638 \nL 505.905735 249.039339 \nL 513.284247 245.39015 \nL 520.66276 241.490154 \nL 528.963586 236.843468 \nL 538.186726 231.416346 \nL 549.254495 224.633605 \nL 562.166892 216.509178 \nL 563.089206 215.341241 \nL 564.01152 215.341241 \nL 564.01152 215.341241 \n\" style=\"fill:none;stroke:#3572c6;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_32\">\n    <path clip-path=\"url(#p516d22b96b)\" d=\"M 56.738793 215.341241 \nL 76.107388 227.484811 \nL 86.252842 233.612225 \nL 95.475983 238.934493 \nL 103.776809 243.460814 \nL 110.233007 246.782761 \nL 117.61152 250.328722 \nL 124.990032 253.582177 \nL 131.446231 256.169011 \nL 137.902429 258.491999 \nL 143.436313 260.265604 \nL 148.047884 261.588514 \nL 154.504082 263.174726 \nL 160.037966 264.296832 \nL 165.57185 265.189365 \nL 172.028049 265.92612 \nL 176.639619 266.265786 \nL 183.095817 266.449188 \nL 188.629702 266.352639 \nL 195.0859 265.925266 \nL 199.69747 265.434059 \nL 205.231355 264.616007 \nL 209.842925 263.770865 \nL 217.221437 262.071312 \nL 222.755322 260.537192 \nL 227.366892 259.113826 \nL 235.667718 256.176018 \nL 245.813173 252.000642 \nL 256.880941 246.770308 \nL 260.570198 244.901934 \nL 266.104082 241.996895 \nL 285.472677 230.877927 \nL 288.239619 229.171077 \nL 299.307388 222.372052 \nL 301.152016 221.153907 \nL 302.07433 220.644012 \nL 303.918958 219.399682 \nL 304.841272 218.933376 \nL 307.608214 216.966509 \nL 309.452842 215.914715 \nL 312.219784 214.057805 \nL 314.064412 213.259464 \nL 315.909041 211.692036 \nL 316.831355 211.341487 \nL 321.442925 208.303836 \nL 322.365239 207.839303 \nL 324.209867 206.622807 \nL 326.976809 204.940428 \nL 328.821437 203.757132 \nL 331.588379 202.093638 \nL 334.355322 200.394657 \nL 337.122264 198.696907 \nL 340.81152 196.539533 \nL 344.500776 194.385611 \nL 350.03466 191.219538 \nL 366.636313 182.530518 \nL 377.704082 177.496761 \nL 382.315652 175.591509 \nL 388.77185 173.14716 \nL 397.072677 170.412079 \nL 403.528875 168.61524 \nL 408.140446 167.505302 \nL 413.67433 166.388425 \nL 418.2859 165.624464 \nL 424.742098 164.839641 \nL 430.275983 164.418153 \nL 435.809867 164.237477 \nL 442.266065 164.334505 \nL 447.79995 164.67245 \nL 453.333834 165.248859 \nL 458.867718 166.061403 \nL 465.323917 167.304719 \nL 470.857801 168.6118 \nL 476.391685 170.138435 \nL 482.847884 172.189661 \nL 488.381768 174.16673 \nL 493.915652 176.336936 \nL 500.37185 179.098133 \nL 507.750363 182.5386 \nL 515.128875 186.252769 \nL 522.507388 190.209599 \nL 530.808214 194.909295 \nL 540.953669 200.942496 \nL 552.943751 208.356637 \nL 564.01152 215.341241 \nL 564.01152 215.341241 \n\" style=\"fill:none;stroke:#83a83b;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_33\">\n    <path clip-path=\"url(#p516d22b96b)\" d=\"M 56.738793 214.765179 \nL 57.661107 214.747404 \nL 60.428049 212.911723 \nL 62.272677 212.041674 \nL 63.194991 211.401163 \nL 64.117305 210.574998 \nL 65.039619 209.987768 \nL 65.961933 209.621564 \nL 68.728875 207.807852 \nL 69.651189 207.27929 \nL 70.573503 206.557147 \nL 72.418131 205.54273 \nL 73.340446 204.8504 \nL 75.185074 203.809195 \nL 76.107388 203.151285 \nL 77.952016 202.081914 \nL 80.718958 200.370171 \nL 98.242925 190.241362 \nL 103.776809 187.234319 \nL 112.99995 182.549769 \nL 127.756974 175.983038 \nL 136.980115 172.538156 \nL 143.436313 170.455515 \nL 148.047884 169.13949 \nL 151.73714 168.191657 \nL 157.271024 166.948432 \nL 165.57185 165.529192 \nL 172.950363 164.714554 \nL 177.561933 164.409111 \nL 184.018131 164.269355 \nL 190.47433 164.463968 \nL 195.0859 164.794196 \nL 199.69747 165.287215 \nL 206.153669 166.257249 \nL 212.609867 167.546416 \nL 217.221437 168.650248 \nL 221.833007 169.900503 \nL 229.21152 172.220907 \nL 235.667718 174.544787 \nL 242.123917 177.131143 \nL 248.580115 179.960955 \nL 255.036313 183.014633 \nL 261.492512 186.272185 \nL 271.637966 191.768865 \nL 279.938793 196.545562 \nL 287.317305 200.957548 \nL 295.618131 206.059617 \nL 309.452842 214.754418 \nL 322.365239 222.901847 \nL 340.81152 234.136876 \nL 347.267718 237.878201 \nL 358.335487 243.921911 \nL 364.791685 247.21794 \nL 373.092512 251.143902 \nL 380.471024 254.317504 \nL 386.927222 256.831137 \nL 394.305735 259.374485 \nL 400.761933 261.303025 \nL 408.140446 263.14132 \nL 414.596644 264.42744 \nL 421.975156 265.503804 \nL 426.586726 265.975891 \nL 433.965239 266.365641 \nL 438.576809 266.409334 \nL 445.955322 266.103755 \nL 449.644578 265.797965 \nL 453.333834 265.394999 \nL 459.790032 264.41676 \nL 464.401603 263.530489 \nL 468.090859 262.708844 \nL 471.780115 261.799449 \nL 480.080941 259.377907 \nL 488.381768 256.493163 \nL 498.527222 252.376967 \nL 507.750363 248.127082 \nL 522.507388 240.459332 \nL 531.730528 235.229613 \nL 541.875983 229.199643 \nL 543.720611 228.038111 \nL 547.409867 225.794528 \nL 549.254495 224.641076 \nL 552.943751 222.37378 \nL 554.788379 221.116489 \nL 556.633007 220.060076 \nL 558.477636 218.702899 \nL 564.01152 215.341241 \nL 564.01152 215.341241 \n\" style=\"fill:none;stroke:#c44e52;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path d=\"M 31.375156 271.575724 \nL 31.375156 159.106759 \n\" style=\"fill:none;stroke:#888888;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.12;\"/>\n   </g>\n   <g id=\"text_13\">\n    <!-- $n=2$ -->\n    <g style=\"fill:#bbbbbb;\" transform=\"translate(564.01152 169.33121)scale(0.15 -0.15)\">\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-110\"/>\n     <use transform=\"translate(82.861328 0.78125)\" xlink:href=\"#DejaVuSans-61\"/>\n     <use transform=\"translate(186.132812 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_4\">\n   <g id=\"patch_10\">\n    <path d=\"M 700.975156 271.575724 \nL 1258.975156 271.575724 \nL 1258.975156 159.106759 \nL 700.975156 159.106759 \nz\n\" style=\"fill:#232323;\"/>\n   </g>\n   <g id=\"matplotlib.axis_7\"/>\n   <g id=\"matplotlib.axis_8\">\n    <g id=\"ytick_10\">\n     <g id=\"line2d_34\">\n      <path clip-path=\"url(#p0cc0cf199c)\" d=\"M 700.975156 266.463498 \nL 1258.975156 266.463498 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_35\"/>\n    </g>\n    <g id=\"ytick_11\">\n     <g id=\"line2d_36\">\n      <path clip-path=\"url(#p0cc0cf199c)\" d=\"M 700.975156 215.341241 \nL 1258.975156 215.341241 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_37\"/>\n    </g>\n    <g id=\"ytick_12\">\n     <g id=\"line2d_38\">\n      <path clip-path=\"url(#p0cc0cf199c)\" d=\"M 700.975156 164.218984 \nL 1258.975156 164.218984 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_39\"/>\n    </g>\n   </g>\n   <g id=\"line2d_40\">\n    <path clip-path=\"url(#p0cc0cf199c)\" d=\"M 726.338793 215.341241 \nL 745.707388 203.194142 \nL 756.775156 196.521883 \nL 765.998297 191.226282 \nL 774.299123 186.727145 \nL 781.677636 182.980216 \nL 789.056148 179.503393 \nL 795.512346 176.705617 \nL 801.968545 174.154779 \nL 808.424743 171.867182 \nL 813.958627 170.127034 \nL 819.492512 168.59923 \nL 825.026396 167.290946 \nL 830.56028 166.208327 \nL 836.094165 165.356456 \nL 841.628049 164.739335 \nL 847.161933 164.359862 \nL 852.695817 164.219818 \nL 858.229702 164.319862 \nL 863.763586 164.659524 \nL 869.29747 165.237209 \nL 874.831355 166.050203 \nL 880.365239 167.094688 \nL 885.899123 168.365759 \nL 891.433007 169.857447 \nL 896.966892 171.562746 \nL 902.500776 173.473647 \nL 908.956974 175.950865 \nL 915.413173 178.679845 \nL 921.869371 181.643144 \nL 929.247884 185.292333 \nL 936.626396 189.192329 \nL 944.927222 193.839015 \nL 954.150363 199.266137 \nL 965.218131 206.048878 \nL 983.664412 217.676506 \nL 1000.266065 228.05483 \nL 1010.41152 234.160599 \nL 1019.63466 239.456201 \nL 1027.935487 243.955338 \nL 1035.313999 247.702267 \nL 1042.692512 251.17909 \nL 1049.14871 253.976865 \nL 1055.604908 256.527703 \nL 1062.061107 258.8153 \nL 1067.594991 260.555449 \nL 1073.128875 262.083253 \nL 1078.66276 263.391536 \nL 1084.196644 264.474156 \nL 1089.730528 265.326026 \nL 1095.264412 265.943148 \nL 1100.798297 266.322621 \nL 1106.332181 266.462664 \nL 1111.866065 266.36262 \nL 1117.39995 266.022958 \nL 1122.933834 265.445274 \nL 1128.467718 264.63228 \nL 1134.001603 263.587795 \nL 1139.535487 262.316723 \nL 1145.069371 260.825035 \nL 1150.603255 259.119737 \nL 1156.13714 257.208836 \nL 1162.593338 254.731617 \nL 1169.049536 252.002638 \nL 1175.505735 249.039339 \nL 1182.884247 245.39015 \nL 1190.26276 241.490154 \nL 1198.563586 236.843468 \nL 1207.786726 231.416346 \nL 1218.854495 224.633605 \nL 1231.766892 216.509178 \nL 1232.689206 215.341241 \nL 1233.61152 215.341241 \nL 1233.61152 215.341241 \n\" style=\"fill:none;stroke:#3572c6;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_41\">\n    <path clip-path=\"url(#p0cc0cf199c)\" d=\"M 726.338793 215.341241 \nL 751.241272 208.842742 \nL 765.998297 205.244633 \nL 777.066065 202.760107 \nL 787.21152 200.687035 \nL 797.356974 198.848186 \nL 805.657801 197.536461 \nL 813.958627 196.407867 \nL 822.259454 195.483935 \nL 830.56028 194.76858 \nL 838.861107 194.270318 \nL 847.161933 193.994601 \nL 855.46276 193.944343 \nL 863.763586 194.120074 \nL 872.064412 194.519939 \nL 880.365239 195.139713 \nL 888.666065 195.972851 \nL 897.889206 197.138025 \nL 907.112346 198.540506 \nL 916.335487 200.16201 \nL 926.480941 202.173329 \nL 937.54871 204.603151 \nL 949.538793 207.461304 \nL 964.295817 211.21019 \nL 1015.945404 224.565797 \nL 1027.935487 227.322377 \nL 1039.003255 229.634088 \nL 1049.14871 231.518535 \nL 1058.37185 233.010985 \nL 1067.594991 234.273083 \nL 1075.895817 235.198356 \nL 1084.196644 235.913902 \nL 1092.49747 236.412165 \nL 1100.798297 236.687881 \nL 1109.099123 236.738139 \nL 1117.39995 236.562408 \nL 1125.700776 236.162544 \nL 1134.001603 235.542359 \nL 1141.380115 234.78317 \nL 1148.758627 233.886067 \nL 1150.603255 233.604671 \nL 1153.370198 233.355743 \nL 1156.13714 232.813118 \nL 1157.981768 232.670469 \nL 1160.74871 232.095951 \nL 1162.593338 231.89924 \nL 1164.437966 231.446432 \nL 1166.282594 231.267247 \nL 1168.127222 230.791296 \nL 1169.97185 230.582276 \nL 1170.894165 230.294335 \nL 1179.194991 228.768683 \nL 1181.039619 228.266282 \nL 1181.961933 228.179311 \nL 1183.806561 227.670034 \nL 1184.728875 227.576497 \nL 1186.573503 227.067255 \nL 1187.495817 226.965466 \nL 1189.340446 226.457255 \nL 1190.26276 226.34383 \nL 1192.107388 225.843918 \nL 1193.029702 225.703568 \nL 1193.952016 225.396943 \nL 1195.796644 225.034548 \nL 1196.718958 224.739078 \nL 1197.641272 224.602453 \nL 1199.4859 224.099479 \nL 1200.408214 223.938823 \nL 1201.330528 223.635099 \nL 1203.175156 223.22481 \nL 1205.942098 222.50095 \nL 1207.786726 222.067568 \nL 1233.61152 215.341241 \nL 1233.61152 215.341241 \n\" style=\"fill:none;stroke:#83a83b;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_42\">\n    <path clip-path=\"url(#p0cc0cf199c)\" d=\"M 726.338793 215.390827 \nL 729.105735 216.478724 \nL 748.47433 224.329226 \nL 760.464412 228.958849 \nL 770.609867 232.646197 \nL 779.833007 235.762434 \nL 788.133834 238.341143 \nL 796.43466 240.675847 \nL 803.813173 242.527784 \nL 811.191685 244.153011 \nL 818.570198 245.538287 \nL 825.94871 246.670706 \nL 832.404908 247.447848 \nL 839.783421 248.08264 \nL 846.239619 248.415252 \nL 852.695817 248.53637 \nL 859.152016 248.445886 \nL 865.608214 248.144812 \nL 872.986726 247.542229 \nL 879.442925 246.793393 \nL 886.821437 245.693686 \nL 893.277636 244.523684 \nL 900.656148 242.957946 \nL 908.03466 241.157157 \nL 915.413173 239.147413 \nL 923.713999 236.647286 \nL 932.014826 233.921989 \nL 941.237966 230.665038 \nL 951.383421 226.853374 \nL 964.295817 221.747815 \nL 986.431355 212.689413 \nL 1003.955322 205.625431 \nL 1015.945404 201.035491 \nL 1026.090859 197.393823 \nL 1035.313999 194.327396 \nL 1043.614826 191.798335 \nL 1050.993338 189.748257 \nL 1061.138793 187.271762 \nL 1064.828049 186.567019 \nL 1067.594991 185.927665 \nL 1071.284247 185.322421 \nL 1073.128875 184.930668 \nL 1076.818131 184.40587 \nL 1078.66276 184.097785 \nL 1080.507388 183.948413 \nL 1083.27433 183.500118 \nL 1085.118958 183.391582 \nL 1087.8859 183.027711 \nL 1089.730528 182.923396 \nL 1091.575156 182.682496 \nL 1093.419784 182.654173 \nL 1095.264412 182.425742 \nL 1097.109041 182.440204 \nL 1098.953669 182.244458 \nL 1100.798297 182.292177 \nL 1102.642925 182.133503 \nL 1104.487553 182.211077 \nL 1106.332181 182.096848 \nL 1108.176809 182.189739 \nL 1110.021437 182.143983 \nL 1110.943751 182.238003 \nL 1113.710693 182.278562 \nL 1115.555322 182.306921 \nL 1122.01152 182.687846 \nL 1124.778462 182.93625 \nL 1131.23466 183.612327 \nL 1133.079288 183.899744 \nL 1134.001603 183.968977 \nL 1135.846231 184.285377 \nL 1136.768545 184.364138 \nL 1138.613173 184.703133 \nL 1139.535487 184.796551 \nL 1141.380115 185.152854 \nL 1142.302429 185.266231 \nL 1144.147057 185.634164 \nL 1146.913999 186.147195 \nL 1150.603255 186.908398 \nL 1154.292512 187.741092 \nL 1155.214826 187.904734 \nL 1157.059454 188.365366 \nL 1162.593338 189.732212 \nL 1164.437966 190.240609 \nL 1171.816479 192.315289 \nL 1175.505735 193.484276 \nL 1177.350363 194.051589 \nL 1181.039619 195.196433 \nL 1183.806561 196.137011 \nL 1198.563586 201.368672 \nL 1205.019784 203.831647 \nL 1217.009867 208.565581 \nL 1229.922264 213.823327 \nL 1233.61152 215.341241 \nL 1233.61152 215.341241 \n\" style=\"fill:none;stroke:#c44e52;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n  </g>\n  <g id=\"axes_5\">\n   <g id=\"patch_11\">\n    <path d=\"M 31.375156 406.538483 \nL 589.375156 406.538483 \nL 589.375156 294.069517 \nL 31.375156 294.069517 \nz\n\" style=\"fill:#232323;\"/>\n   </g>\n   <g id=\"matplotlib.axis_9\"/>\n   <g id=\"matplotlib.axis_10\">\n    <g id=\"ytick_13\">\n     <g id=\"line2d_43\">\n      <path clip-path=\"url(#paf64481253)\" d=\"M 31.375156 401.426257 \nL 589.375156 401.426257 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_44\"/>\n     <g id=\"text_14\">\n      <!-- −1 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(7.2 406.213273)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_14\">\n     <g id=\"line2d_45\">\n      <path clip-path=\"url(#paf64481253)\" d=\"M 31.375156 350.304 \nL 589.375156 350.304 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_46\"/>\n     <g id=\"text_15\">\n      <!-- 0 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(17.758406 355.091016)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_15\">\n     <g id=\"line2d_47\">\n      <path clip-path=\"url(#paf64481253)\" d=\"M 31.375156 299.181743 \nL 589.375156 299.181743 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_48\"/>\n     <g id=\"text_16\">\n      <!-- 1 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(17.758406 303.968759)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_49\">\n    <path clip-path=\"url(#paf64481253)\" d=\"M 56.738793 350.304 \nL 70.573503 337.307785 \nL 77.952016 330.672934 \nL 84.408214 325.165503 \nL 89.942098 320.729523 \nL 95.475983 316.605902 \nL 100.087553 313.43969 \nL 104.699123 310.543934 \nL 109.310693 307.93988 \nL 112.99995 306.079575 \nL 116.689206 304.426967 \nL 120.378462 302.989816 \nL 124.067718 301.774873 \nL 127.756974 300.787843 \nL 131.446231 300.033361 \nL 135.135487 299.514971 \nL 138.824743 299.235108 \nL 142.513999 299.195086 \nL 146.203255 299.395093 \nL 149.892512 299.834189 \nL 153.581768 300.510312 \nL 157.271024 301.420288 \nL 160.96028 302.559842 \nL 164.649536 303.923622 \nL 168.338793 305.505225 \nL 172.028049 307.297221 \nL 176.639619 309.82017 \nL 181.251189 312.64013 \nL 185.86276 315.736413 \nL 190.47433 319.086302 \nL 196.008214 323.406205 \nL 201.542098 328.010197 \nL 207.998297 333.675561 \nL 216.299123 341.298932 \nL 231.978462 356.131498 \nL 242.123917 365.545192 \nL 249.502429 372.070798 \nL 255.036313 376.703404 \nL 260.570198 381.057185 \nL 265.181768 384.43907 \nL 269.793338 387.570522 \nL 274.404908 390.428566 \nL 279.016479 392.992235 \nL 282.705735 394.818505 \nL 286.394991 396.435716 \nL 290.084247 397.836273 \nL 293.773503 399.013598 \nL 297.46276 399.962163 \nL 301.152016 400.677512 \nL 304.841272 401.156286 \nL 308.530528 401.396237 \nL 312.219784 401.396237 \nL 315.909041 401.156286 \nL 319.598297 400.677512 \nL 323.287553 399.962163 \nL 326.976809 399.013598 \nL 330.666065 397.836273 \nL 334.355322 396.435716 \nL 338.044578 394.818505 \nL 341.733834 392.992235 \nL 346.345404 390.428566 \nL 350.956974 387.570522 \nL 355.568545 384.43907 \nL 360.180115 381.057185 \nL 365.713999 376.703404 \nL 371.247884 372.070798 \nL 377.704082 366.379105 \nL 386.004908 358.733606 \nL 414.596644 332.028866 \nL 421.052842 326.446913 \nL 426.586726 321.932353 \nL 432.120611 317.717447 \nL 436.732181 314.466151 \nL 441.343751 311.477782 \nL 445.955322 308.774262 \nL 450.566892 306.375427 \nL 454.256148 304.687636 \nL 457.945404 303.21408 \nL 461.63466 301.961677 \nL 465.323917 300.93631 \nL 469.013173 300.142795 \nL 472.702429 299.584857 \nL 476.391685 299.265118 \nL 480.080941 299.185079 \nL 483.770198 299.345115 \nL 487.459454 299.744476 \nL 491.14871 300.381286 \nL 494.837966 301.252554 \nL 498.527222 302.354187 \nL 502.216479 303.681013 \nL 505.905735 305.226801 \nL 509.594991 306.984289 \nL 514.206561 309.466189 \nL 518.818131 312.247697 \nL 523.429702 315.308407 \nL 528.041272 318.625863 \nL 533.575156 322.911325 \nL 539.109041 327.486102 \nL 545.565239 333.124397 \nL 552.943751 339.865581 \nL 562.166892 348.552285 \nL 563.089206 350.304 \nL 564.01152 350.304 \nL 564.01152 350.304 \n\" style=\"fill:none;stroke:#3572c6;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_50\">\n    <path clip-path=\"url(#paf64481253)\" d=\"M 56.738793 350.304 \nL 95.475983 351.464672 \nL 124.990032 351.983026 \nL 146.203255 352.05915 \nL 186.785074 351.474239 \nL 207.075983 350.897261 \nL 213.532181 350.709132 \nL 222.755322 350.394843 \nL 227.366892 350.26219 \nL 234.745404 350.00395 \nL 239.356974 349.876968 \nL 244.890859 349.685549 \nL 249.502429 349.568633 \nL 253.191685 349.44654 \nL 270.715652 349.008347 \nL 275.327222 348.886932 \nL 279.016479 348.857957 \nL 281.783421 348.765916 \nL 285.472677 348.762034 \nL 286.394991 348.68235 \nL 288.239619 348.680083 \nL 303.918958 348.52175 \nL 304.841272 348.692318 \nL 306.6859 348.319265 \nL 309.452842 348.545769 \nL 312.219784 348.720248 \nL 313.142098 348.377527 \nL 314.064412 348.170342 \nL 314.986726 348.565685 \nL 315.909041 348.777921 \nL 316.831355 348.433724 \nL 317.753669 348.499909 \nL 318.675983 348.707451 \nL 319.598297 348.47908 \nL 321.442925 348.661969 \nL 322.365239 348.498299 \nL 323.287553 348.647784 \nL 325.132181 348.56192 \nL 326.054495 348.684711 \nL 326.976809 348.576211 \nL 328.821437 348.659969 \nL 329.743751 348.620962 \nL 330.666065 348.715866 \nL 331.588379 348.639349 \nL 333.433007 348.702208 \nL 338.966892 348.793466 \nL 367.558627 349.436457 \nL 373.092512 349.615223 \nL 381.393338 349.864253 \nL 420.130528 351.10184 \nL 469.935487 352.035625 \nL 491.14871 352.022836 \nL 517.895817 351.633193 \nL 543.720611 350.951711 \nL 564.01152 350.304 \nL 564.01152 350.304 \n\" style=\"fill:none;stroke:#83a83b;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_51\">\n    <path clip-path=\"url(#paf64481253)\" d=\"M 56.738793 351.16631 \nL 57.661107 351.193582 \nL 60.428049 353.942147 \nL 62.272677 355.241324 \nL 63.194991 356.197932 \nL 64.117305 357.432008 \nL 65.039619 358.30657 \nL 65.961933 358.848317 \nL 66.884247 359.782074 \nL 67.806561 360.878 \nL 69.651189 362.31595 \nL 70.573503 363.383128 \nL 72.418131 364.866273 \nL 73.340446 365.882067 \nL 75.185074 367.390783 \nL 76.107388 368.346935 \nL 77.029702 369.025295 \nL 78.87433 370.749655 \nL 79.796644 371.424079 \nL 81.641272 373.077797 \nL 82.563586 373.799891 \nL 83.4859 374.674364 \nL 85.330528 376.142178 \nL 88.09747 378.407275 \nL 89.942098 379.799771 \nL 92.709041 381.940425 \nL 96.398297 384.540567 \nL 98.242925 385.829962 \nL 101.932181 388.299101 \nL 105.621437 390.49813 \nL 108.388379 392.093855 \nL 115.766892 395.674673 \nL 119.456148 397.188251 \nL 125.912346 399.255085 \nL 132.368545 400.621732 \nL 138.824743 401.259222 \nL 143.436313 401.258302 \nL 147.125569 401.014874 \nL 152.659454 400.174412 \nL 156.34871 399.312311 \nL 159.115652 398.540266 \nL 163.727222 396.940134 \nL 168.338793 394.988957 \nL 171.105735 393.676446 \nL 175.717305 391.22852 \nL 182.173503 387.281634 \nL 186.785074 384.135556 \nL 190.47433 381.446056 \nL 196.008214 377.145573 \nL 204.309041 370.156783 \nL 211.687553 363.556264 \nL 226.444578 349.72104 \nL 239.356974 337.625129 \nL 245.813173 331.803105 \nL 251.347057 327.026409 \nL 255.958627 323.217609 \nL 262.414826 318.246009 \nL 267.026396 314.970493 \nL 271.637966 311.949221 \nL 276.249536 309.216254 \nL 279.938793 307.242961 \nL 283.628049 305.472359 \nL 287.317305 303.912666 \nL 291.006561 302.570817 \nL 294.695817 301.452701 \nL 298.385074 300.56338 \nL 302.07433 299.907203 \nL 305.763586 299.487725 \nL 309.452842 299.307483 \nL 313.142098 299.367712 \nL 316.831355 299.668127 \nL 320.520611 300.206864 \nL 324.209867 300.980638 \nL 327.899123 301.985062 \nL 331.588379 303.215033 \nL 335.277636 304.664999 \nL 338.966892 306.328992 \nL 343.578462 308.706966 \nL 347.267718 310.824569 \nL 350.956974 313.125766 \nL 355.568545 316.253789 \nL 360.180115 319.617573 \nL 366.636313 324.720513 \nL 372.170198 329.376519 \nL 381.393338 337.616726 \nL 394.305735 349.726131 \nL 412.752016 366.900563 \nL 422.89747 375.639835 \nL 429.353669 380.74355 \nL 433.042925 383.483404 \nL 438.576809 387.291545 \nL 445.033007 391.227564 \nL 450.566892 394.136514 \nL 455.178462 396.208486 \nL 460.712346 398.244524 \nL 465.323917 399.567705 \nL 470.857801 400.65241 \nL 473.624743 401.018227 \nL 479.158627 401.30079 \nL 481.925569 401.267016 \nL 488.381768 400.620727 \nL 494.837966 399.250252 \nL 501.294165 397.179357 \nL 507.750363 394.43709 \nL 514.206561 391.066002 \nL 523.429702 385.224319 \nL 532.652842 378.375705 \nL 544.642925 368.307864 \nL 545.565239 367.390628 \nL 547.409867 365.825946 \nL 548.332181 364.888175 \nL 550.176809 363.315606 \nL 551.099123 362.348148 \nL 552.943751 360.798246 \nL 554.788379 358.931797 \nL 555.710693 358.236127 \nL 556.633007 357.361001 \nL 558.477636 355.334535 \nL 564.01152 350.304 \nL 564.01152 350.304 \n\" style=\"fill:none;stroke:#c44e52;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path d=\"M 31.375156 406.538483 \nL 31.375156 294.069517 \n\" style=\"fill:none;stroke:#888888;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.12;\"/>\n   </g>\n   <g id=\"text_17\">\n    <!-- $n=3$ -->\n    <g style=\"fill:#bbbbbb;\" transform=\"translate(564.01152 304.293969)scale(0.15 -0.15)\">\n     <defs>\n      <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n     </defs>\n     <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-Oblique-110\"/>\n     <use transform=\"translate(82.861328 0.78125)\" xlink:href=\"#DejaVuSans-61\"/>\n     <use transform=\"translate(186.132812 0.78125)\" xlink:href=\"#DejaVuSans-51\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_6\">\n   <g id=\"patch_13\">\n    <path d=\"M 700.975156 406.538483 \nL 1258.975156 406.538483 \nL 1258.975156 294.069517 \nL 700.975156 294.069517 \nz\n\" style=\"fill:#232323;\"/>\n   </g>\n   <g id=\"matplotlib.axis_11\"/>\n   <g id=\"matplotlib.axis_12\">\n    <g id=\"ytick_16\">\n     <g id=\"line2d_52\">\n      <path clip-path=\"url(#p053357dbcd)\" d=\"M 700.975156 401.426257 \nL 1258.975156 401.426257 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_53\"/>\n    </g>\n    <g id=\"ytick_17\">\n     <g id=\"line2d_54\">\n      <path clip-path=\"url(#p053357dbcd)\" d=\"M 700.975156 350.304 \nL 1258.975156 350.304 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_55\"/>\n    </g>\n    <g id=\"ytick_18\">\n     <g id=\"line2d_56\">\n      <path clip-path=\"url(#p053357dbcd)\" d=\"M 700.975156 299.181743 \nL 1258.975156 299.181743 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_57\"/>\n    </g>\n   </g>\n   <g id=\"line2d_58\">\n    <path clip-path=\"url(#p053357dbcd)\" d=\"M 726.338793 350.304 \nL 740.173503 337.307785 \nL 747.552016 330.672934 \nL 754.008214 325.165503 \nL 759.542098 320.729523 \nL 765.075983 316.605902 \nL 769.687553 313.43969 \nL 774.299123 310.543934 \nL 778.910693 307.93988 \nL 782.59995 306.079575 \nL 786.289206 304.426967 \nL 789.978462 302.989816 \nL 793.667718 301.774873 \nL 797.356974 300.787843 \nL 801.046231 300.033361 \nL 804.735487 299.514971 \nL 808.424743 299.235108 \nL 812.113999 299.195086 \nL 815.803255 299.395093 \nL 819.492512 299.834189 \nL 823.181768 300.510312 \nL 826.871024 301.420288 \nL 830.56028 302.559842 \nL 834.249536 303.923622 \nL 837.938793 305.505225 \nL 841.628049 307.297221 \nL 846.239619 309.82017 \nL 850.851189 312.64013 \nL 855.46276 315.736413 \nL 860.07433 319.086302 \nL 865.608214 323.406205 \nL 871.142098 328.010197 \nL 877.598297 333.675561 \nL 885.899123 341.298932 \nL 901.578462 356.131498 \nL 911.723917 365.545192 \nL 919.102429 372.070798 \nL 924.636313 376.703404 \nL 930.170198 381.057185 \nL 934.781768 384.43907 \nL 939.393338 387.570522 \nL 944.004908 390.428566 \nL 948.616479 392.992235 \nL 952.305735 394.818505 \nL 955.994991 396.435716 \nL 959.684247 397.836273 \nL 963.373503 399.013598 \nL 967.06276 399.962163 \nL 970.752016 400.677512 \nL 974.441272 401.156286 \nL 978.130528 401.396237 \nL 981.819784 401.396237 \nL 985.509041 401.156286 \nL 989.198297 400.677512 \nL 992.887553 399.962163 \nL 996.576809 399.013598 \nL 1000.266065 397.836273 \nL 1003.955322 396.435716 \nL 1007.644578 394.818505 \nL 1011.333834 392.992235 \nL 1015.945404 390.428566 \nL 1020.556974 387.570522 \nL 1025.168545 384.43907 \nL 1029.780115 381.057185 \nL 1035.313999 376.703404 \nL 1040.847884 372.070798 \nL 1047.304082 366.379105 \nL 1055.604908 358.733606 \nL 1084.196644 332.028866 \nL 1090.652842 326.446913 \nL 1096.186726 321.932353 \nL 1101.720611 317.717447 \nL 1106.332181 314.466151 \nL 1110.943751 311.477782 \nL 1115.555322 308.774262 \nL 1120.166892 306.375427 \nL 1123.856148 304.687636 \nL 1127.545404 303.21408 \nL 1131.23466 301.961677 \nL 1134.923917 300.93631 \nL 1138.613173 300.142795 \nL 1142.302429 299.584857 \nL 1145.991685 299.265118 \nL 1149.680941 299.185079 \nL 1153.370198 299.345115 \nL 1157.059454 299.744476 \nL 1160.74871 300.381286 \nL 1164.437966 301.252554 \nL 1168.127222 302.354187 \nL 1171.816479 303.681013 \nL 1175.505735 305.226801 \nL 1179.194991 306.984289 \nL 1183.806561 309.466189 \nL 1188.418131 312.247697 \nL 1193.029702 315.308407 \nL 1197.641272 318.625863 \nL 1203.175156 322.911325 \nL 1208.709041 327.486102 \nL 1215.165239 333.124397 \nL 1222.543751 339.865581 \nL 1231.766892 348.552285 \nL 1232.689206 350.304 \nL 1233.61152 350.304 \nL 1233.61152 350.304 \n\" style=\"fill:none;stroke:#3572c6;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_59\">\n    <path clip-path=\"url(#p053357dbcd)\" d=\"M 726.338793 350.304 \nL 750.318958 353.320254 \nL 764.153669 354.827048 \nL 776.143751 355.895394 \nL 786.289206 356.586318 \nL 797.356974 357.083794 \nL 808.424743 357.292948 \nL 816.725569 357.25751 \nL 825.94871 357.030916 \nL 836.094165 356.549466 \nL 846.239619 355.846756 \nL 857.307388 354.857273 \nL 870.219784 353.463789 \nL 886.821437 351.41867 \nL 922.791685 346.897085 \nL 935.704082 345.541876 \nL 946.77185 344.594824 \nL 956.917305 343.937219 \nL 967.06276 343.50516 \nL 976.2859 343.321142 \nL 985.509041 343.341669 \nL 994.732181 343.566138 \nL 1004.877636 344.040587 \nL 1015.02309 344.736921 \nL 1026.090859 345.720437 \nL 1039.003255 347.108589 \nL 1054.682594 349.031756 \nL 1093.419784 353.884122 \nL 1106.332181 355.210662 \nL 1117.39995 356.126475 \nL 1127.545404 356.751215 \nL 1138.613173 357.189601 \nL 1143.224743 357.280249 \nL 1146.913999 357.191386 \nL 1150.603255 357.401325 \nL 1153.370198 357.17092 \nL 1155.214826 357.376689 \nL 1156.13714 357.33101 \nL 1157.981768 357.081697 \nL 1159.826396 357.281281 \nL 1160.74871 357.208098 \nL 1161.671024 357.021518 \nL 1162.593338 356.986381 \nL 1163.515652 357.118227 \nL 1164.437966 357.127924 \nL 1166.282594 356.838491 \nL 1168.127222 356.973977 \nL 1169.049536 356.766222 \nL 1169.97185 356.689217 \nL 1170.894165 356.814642 \nL 1171.816479 356.755955 \nL 1172.738793 356.537824 \nL 1174.583421 356.640134 \nL 1176.428049 356.325398 \nL 1177.350363 356.434955 \nL 1178.272677 356.340159 \nL 1179.194991 356.133629 \nL 1181.039619 356.178024 \nL 1181.961933 355.947492 \nL 1183.806561 355.97692 \nL 1184.728875 355.743861 \nL 1186.573503 355.749025 \nL 1187.495817 355.516512 \nL 1189.340446 355.49703 \nL 1190.26276 355.270708 \nL 1191.185074 355.301581 \nL 1192.107388 355.216833 \nL 1193.029702 355.020218 \nL 1193.952016 355.069583 \nL 1195.796644 354.782037 \nL 1196.718958 354.804805 \nL 1197.641272 354.586161 \nL 1199.4859 354.484285 \nL 1200.408214 354.292662 \nL 1201.330528 354.312772 \nL 1202.252842 354.123658 \nL 1205.942098 353.796242 \nL 1206.864412 353.608427 \nL 1208.709041 353.446116 \nL 1209.631355 353.284365 \nL 1210.553669 353.255248 \nL 1211.475983 353.06084 \nL 1212.398297 353.022817 \nL 1214.242925 352.769814 \nL 1220.699123 351.986105 \nL 1224.388379 351.496889 \nL 1233.61152 350.304 \nL 1233.61152 350.304 \n\" style=\"fill:none;stroke:#83a83b;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_60\">\n    <path clip-path=\"url(#p053357dbcd)\" d=\"M 726.338793 350.414975 \nL 728.183421 351.990048 \nL 740.173503 362.813063 \nL 747.552016 369.19925 \nL 754.008214 374.500214 \nL 759.542098 378.769872 \nL 765.075983 382.738404 \nL 769.687553 385.786026 \nL 774.299123 388.573515 \nL 778.910693 391.080183 \nL 783.522264 393.287588 \nL 787.21152 394.826072 \nL 790.900776 396.157467 \nL 794.590032 397.271688 \nL 798.279288 398.166703 \nL 801.968545 398.835907 \nL 805.657801 399.278199 \nL 809.347057 399.489063 \nL 813.036313 399.471121 \nL 816.725569 399.219357 \nL 820.414826 398.740646 \nL 824.104082 398.033435 \nL 827.793338 397.100401 \nL 831.482594 395.950035 \nL 835.17185 394.58547 \nL 838.861107 393.010997 \nL 843.472677 390.762164 \nL 848.084247 388.218552 \nL 852.695817 385.39315 \nL 857.307388 382.314476 \nL 861.918958 378.999849 \nL 867.452842 374.742778 \nL 872.986726 370.233207 \nL 879.442925 364.704661 \nL 888.666065 356.472804 \nL 911.723917 335.632798 \nL 919.102429 329.353227 \nL 925.558627 324.176021 \nL 931.092512 320.034579 \nL 935.704082 316.825834 \nL 940.315652 313.862703 \nL 944.927222 311.166925 \nL 949.538793 308.758278 \nL 953.228049 307.050044 \nL 956.917305 305.544948 \nL 960.606561 304.250059 \nL 964.295817 303.171459 \nL 967.985074 302.314213 \nL 971.67433 301.682347 \nL 975.363586 301.278829 \nL 979.052842 301.105554 \nL 982.742098 301.163335 \nL 986.431355 301.451901 \nL 990.120611 301.969897 \nL 993.809867 302.71489 \nL 997.499123 303.683382 \nL 1001.188379 304.870824 \nL 1004.877636 306.271639 \nL 1008.566892 307.879248 \nL 1013.178462 310.167973 \nL 1017.790032 312.751157 \nL 1022.401603 315.609849 \nL 1027.013173 318.723076 \nL 1032.547057 322.762654 \nL 1038.080941 327.093199 \nL 1044.53714 332.457793 \nL 1054.682594 341.296543 \nL 1058.37185 344.711899 \nL 1061.138793 347.275385 \nL 1064.828049 350.528295 \nL 1067.594991 353.19325 \nL 1071.284247 356.443611 \nL 1073.128875 358.227752 \nL 1075.895817 360.544 \nL 1078.66276 363.147138 \nL 1080.507388 364.615679 \nL 1083.27433 367.168769 \nL 1085.118958 368.592155 \nL 1086.963586 370.319249 \nL 1090.652842 373.321375 \nL 1092.49747 374.708704 \nL 1093.419784 375.389941 \nL 1095.264412 376.99183 \nL 1097.109041 378.223876 \nL 1098.953669 379.764138 \nL 1100.798297 380.930584 \nL 1102.642925 382.396464 \nL 1104.487553 383.496345 \nL 1106.332181 384.870829 \nL 1108.176809 385.920122 \nL 1109.099123 386.617466 \nL 1113.710693 389.251912 \nL 1114.633007 389.709835 \nL 1115.555322 390.326368 \nL 1119.244578 392.221496 \nL 1121.089206 392.960838 \nL 1122.01152 393.490504 \nL 1123.856148 394.140612 \nL 1124.778462 394.62746 \nL 1128.467718 396.005518 \nL 1129.390032 396.1974 \nL 1131.23466 396.896919 \nL 1132.156974 397.050735 \nL 1134.001603 397.65949 \nL 1134.923917 397.777129 \nL 1137.690859 398.37307 \nL 1140.457801 398.837176 \nL 1142.302429 399.178456 \nL 1143.224743 399.169803 \nL 1145.069371 399.421939 \nL 1145.991685 399.373243 \nL 1147.836313 399.528639 \nL 1148.758627 399.45191 \nL 1149.680941 399.545097 \nL 1155.214826 399.239446 \nL 1156.13714 399.040116 \nL 1157.981768 398.863284 \nL 1158.904082 398.640643 \nL 1159.826396 398.571943 \nL 1161.671024 398.142288 \nL 1162.593338 398.009736 \nL 1163.515652 397.704034 \nL 1165.36028 397.286274 \nL 1166.282594 396.974795 \nL 1167.204908 396.786371 \nL 1169.049536 396.159516 \nL 1171.816479 395.218643 \nL 1173.661107 394.459592 \nL 1176.428049 393.324493 \nL 1178.272677 392.445731 \nL 1181.039619 391.115705 \nL 1183.806561 389.610572 \nL 1190.26276 385.792232 \nL 1197.641272 380.787005 \nL 1200.408214 378.791972 \nL 1214.242925 367.641586 \nL 1228.077636 355.357396 \nL 1233.61152 350.304 \nL 1233.61152 350.304 \n\" style=\"fill:none;stroke:#c44e52;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n  </g>\n  <g id=\"axes_7\">\n   <g id=\"patch_14\">\n    <path d=\"M 31.375156 541.501241 \nL 589.375156 541.501241 \nL 589.375156 429.032276 \nL 31.375156 429.032276 \nz\n\" style=\"fill:#232323;\"/>\n   </g>\n   <g id=\"matplotlib.axis_13\"/>\n   <g id=\"matplotlib.axis_14\">\n    <g id=\"ytick_19\">\n     <g id=\"line2d_61\">\n      <path clip-path=\"url(#pf652d6587e)\" d=\"M 31.375156 536.389016 \nL 589.375156 536.389016 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_62\"/>\n     <g id=\"text_18\">\n      <!-- −1 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(7.2 541.176031)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_20\">\n     <g id=\"line2d_63\">\n      <path clip-path=\"url(#pf652d6587e)\" d=\"M 31.375156 485.266759 \nL 589.375156 485.266759 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_64\"/>\n     <g id=\"text_19\">\n      <!-- 0 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(17.758406 490.053774)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_21\">\n     <g id=\"line2d_65\">\n      <path clip-path=\"url(#pf652d6587e)\" d=\"M 31.375156 434.144502 \nL 589.375156 434.144502 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_66\"/>\n     <g id=\"text_20\">\n      <!-- 1 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(17.758406 438.931517)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_67\">\n    <path clip-path=\"url(#pf652d6587e)\" d=\"M 56.738793 485.266759 \nL 67.806561 471.425244 \nL 73.340446 464.829748 \nL 77.952016 459.621381 \nL 82.563586 454.747339 \nL 86.252842 451.131689 \nL 89.942098 447.800952 \nL 93.631355 444.782928 \nL 97.320611 442.102809 \nL 100.087553 440.328038 \nL 102.854495 438.764318 \nL 105.621437 437.418993 \nL 108.388379 436.298381 \nL 111.155322 435.407744 \nL 113.922264 434.751267 \nL 116.689206 434.332032 \nL 119.456148 434.152007 \nL 122.22309 434.212039 \nL 124.990032 434.511845 \nL 127.756974 435.050017 \nL 130.523917 435.824029 \nL 133.290859 436.830243 \nL 136.057801 438.063937 \nL 138.824743 439.519314 \nL 141.591685 441.189541 \nL 144.358627 443.066772 \nL 148.047884 445.876383 \nL 151.73714 449.014771 \nL 155.426396 452.455741 \nL 159.115652 456.170574 \nL 163.727222 461.151799 \nL 168.338793 466.447401 \nL 173.872677 473.119659 \nL 182.173503 483.515044 \nL 194.163586 498.545176 \nL 199.69747 505.167125 \nL 204.309041 510.405256 \nL 208.920611 515.315667 \nL 212.609867 518.964856 \nL 216.299123 522.332779 \nL 219.988379 525.391325 \nL 223.677636 528.114965 \nL 226.444578 529.924127 \nL 229.21152 531.52356 \nL 231.978462 532.905751 \nL 234.745404 534.06421 \nL 237.512346 534.993495 \nL 240.279288 535.689243 \nL 243.046231 536.148185 \nL 245.813173 536.368168 \nL 248.580115 536.348156 \nL 251.347057 536.088245 \nL 254.113999 535.589655 \nL 256.880941 534.854728 \nL 259.647884 533.886914 \nL 262.414826 532.69076 \nL 265.181768 531.271883 \nL 267.94871 529.636947 \nL 270.715652 527.79363 \nL 274.404908 525.026824 \nL 278.094165 521.928155 \nL 281.783421 518.523486 \nL 285.472677 514.841235 \nL 290.084247 509.895094 \nL 294.695817 504.627884 \nL 300.229702 497.980347 \nL 308.530528 487.602023 \nL 321.442925 471.425244 \nL 326.976809 464.829748 \nL 331.588379 459.621381 \nL 336.19995 454.747339 \nL 339.889206 451.131689 \nL 343.578462 447.800952 \nL 347.267718 444.782928 \nL 350.956974 442.102809 \nL 353.723917 440.328038 \nL 356.490859 438.764318 \nL 359.257801 437.418993 \nL 362.024743 436.298381 \nL 364.791685 435.407744 \nL 367.558627 434.751267 \nL 370.325569 434.332032 \nL 373.092512 434.152007 \nL 375.859454 434.212039 \nL 378.626396 434.511845 \nL 381.393338 435.050017 \nL 384.16028 435.824029 \nL 386.927222 436.830243 \nL 389.694165 438.063937 \nL 392.461107 439.519314 \nL 395.228049 441.189541 \nL 397.994991 443.066772 \nL 401.684247 445.876383 \nL 405.373503 449.014771 \nL 409.06276 452.455741 \nL 412.752016 456.170574 \nL 417.363586 461.151799 \nL 421.975156 466.447401 \nL 427.509041 473.119659 \nL 435.809867 483.515044 \nL 447.79995 498.545176 \nL 453.333834 505.167125 \nL 457.945404 510.405256 \nL 462.556974 515.315667 \nL 466.246231 518.964856 \nL 469.935487 522.332779 \nL 473.624743 525.391325 \nL 477.313999 528.114965 \nL 480.080941 529.924127 \nL 482.847884 531.52356 \nL 485.614826 532.905751 \nL 488.381768 534.06421 \nL 491.14871 534.993495 \nL 493.915652 535.689243 \nL 496.682594 536.148185 \nL 499.449536 536.368168 \nL 502.216479 536.348156 \nL 504.983421 536.088245 \nL 507.750363 535.589655 \nL 510.517305 534.854728 \nL 513.284247 533.886914 \nL 516.051189 532.69076 \nL 518.818131 531.271883 \nL 521.585074 529.636947 \nL 524.352016 527.79363 \nL 528.041272 525.026824 \nL 531.730528 521.928155 \nL 535.419784 518.523486 \nL 539.109041 514.841235 \nL 543.720611 509.895094 \nL 548.332181 504.627884 \nL 553.866065 497.980347 \nL 562.166892 487.602023 \nL 563.089206 485.266759 \nL 564.01152 485.266759 \nL 564.01152 485.266759 \n\" style=\"fill:none;stroke:#3572c6;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_68\">\n    <path clip-path=\"url(#pf652d6587e)\" d=\"M 56.738793 485.266759 \nL 67.806561 471.440124 \nL 73.340446 464.851785 \nL 77.952016 459.64759 \nL 82.563586 454.780498 \nL 86.252842 451.168912 \nL 89.942098 447.841964 \nL 93.631355 444.827415 \nL 96.398297 442.782508 \nL 100.087553 440.372924 \nL 103.776809 438.338091 \nL 106.543751 437.073665 \nL 109.310693 436.024844 \nL 112.077636 435.218101 \nL 114.844578 434.63587 \nL 117.61152 434.301239 \nL 120.378462 434.197377 \nL 123.145404 434.340158 \nL 125.912346 434.717674 \nL 128.679288 435.334111 \nL 131.446231 436.186932 \nL 134.213173 437.264617 \nL 136.980115 438.577291 \nL 139.747057 440.095876 \nL 143.436313 442.458553 \nL 147.125569 445.179076 \nL 150.814826 448.234931 \nL 155.426396 452.493165 \nL 159.115652 456.201686 \nL 163.727222 461.180234 \nL 168.338793 466.461005 \nL 175.717305 475.404216 \nL 196.008214 500.778665 \nL 203.386726 509.353243 \nL 207.998297 514.342906 \nL 213.532181 519.8071 \nL 218.143751 523.863624 \nL 221.833007 526.764024 \nL 226.444578 529.864308 \nL 229.21152 531.481053 \nL 232.900776 533.258885 \nL 235.667718 534.363399 \nL 239.356974 535.444386 \nL 243.046231 536.092422 \nL 245.813173 536.3297 \nL 249.502429 536.252277 \nL 253.191685 535.72709 \nL 255.958627 535.092414 \nL 260.570198 533.450547 \nL 262.414826 532.644933 \nL 266.104082 530.72996 \nL 272.56028 526.437771 \nL 279.016479 521.096685 \nL 288.239619 511.871683 \nL 292.851189 506.719259 \nL 297.46276 501.320417 \nL 298.385074 500.155045 \nL 299.307388 499.1864 \nL 301.152016 496.807005 \nL 302.07433 495.808654 \nL 302.996644 494.448191 \nL 303.918958 493.351125 \nL 304.841272 492.429064 \nL 307.608214 488.512491 \nL 309.452842 486.41271 \nL 312.219784 482.702354 \nL 313.142098 481.996137 \nL 314.064412 481.111725 \nL 314.986726 479.427093 \nL 315.909041 477.990319 \nL 316.831355 477.299757 \nL 318.675983 474.651236 \nL 319.598297 473.822823 \nL 321.442925 471.333929 \nL 322.365239 470.441166 \nL 323.287553 469.139352 \nL 325.132181 467.076543 \nL 326.054495 465.839188 \nL 326.976809 464.920966 \nL 328.821437 462.718013 \nL 329.743751 461.742724 \nL 330.666065 460.601844 \nL 331.588379 459.702999 \nL 333.433007 457.660008 \nL 338.966892 452.037522 \nL 341.733834 449.432976 \nL 350.03466 442.758454 \nL 355.568545 439.326524 \nL 357.413173 438.361923 \nL 359.257801 437.485682 \nL 361.102429 436.703165 \nL 363.869371 435.74207 \nL 365.713999 435.231825 \nL 367.558627 434.819871 \nL 369.403255 434.508275 \nL 371.247884 434.300266 \nL 374.014826 434.208794 \nL 375.859454 434.278778 \nL 377.704082 434.451389 \nL 379.54871 434.726902 \nL 381.393338 435.106083 \nL 384.16028 435.881242 \nL 386.927222 436.871141 \nL 390.616479 438.565357 \nL 394.305735 440.655239 \nL 397.072677 442.459105 \nL 400.761933 445.17615 \nL 405.373503 449.058409 \nL 409.06276 452.490375 \nL 412.752016 456.196601 \nL 418.2859 462.205964 \nL 424.742098 469.764623 \nL 431.198297 477.714364 \nL 441.343751 490.505194 \nL 448.722264 499.655702 \nL 455.178462 507.27083 \nL 459.790032 512.387323 \nL 464.401603 517.137478 \nL 468.090859 520.647103 \nL 471.780115 523.861469 \nL 475.469371 526.753567 \nL 479.158627 529.29915 \nL 482.847884 531.476929 \nL 485.614826 532.853428 \nL 488.381768 534.015111 \nL 491.14871 534.939038 \nL 493.915652 535.638155 \nL 496.682594 536.092953 \nL 499.449536 536.315821 \nL 502.216479 536.293315 \nL 504.983421 536.035577 \nL 507.750363 535.536209 \nL 510.517305 534.802804 \nL 513.284247 533.835752 \nL 516.051189 532.640691 \nL 518.818131 531.22382 \nL 521.585074 529.589816 \nL 524.352016 527.749429 \nL 528.041272 524.985601 \nL 531.730528 521.890212 \nL 535.419784 518.489111 \nL 539.109041 514.810692 \nL 543.720611 509.868694 \nL 548.332181 504.607908 \nL 553.866065 497.967231 \nL 562.166892 487.599519 \nL 564.01152 485.266759 \nL 564.01152 485.266759 \n\" style=\"fill:none;stroke:#83a83b;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_69\">\n    <path clip-path=\"url(#pf652d6587e)\" d=\"M 56.738793 484.120354 \nL 57.661107 484.082844 \nL 60.428049 480.427319 \nL 62.272677 478.706058 \nL 63.194991 477.438335 \nL 64.117305 475.802495 \nL 65.039619 474.648107 \nL 65.961933 473.9398 \nL 66.884247 472.711455 \nL 67.806561 471.269759 \nL 68.728875 470.413522 \nL 69.651189 469.401137 \nL 70.573503 468.007848 \nL 72.418131 466.101345 \nL 73.340446 464.788906 \nL 75.185074 462.875001 \nL 76.107388 461.656311 \nL 77.029702 460.813435 \nL 78.87433 458.653881 \nL 79.796644 457.832949 \nL 80.718958 456.723822 \nL 86.252842 451.234472 \nL 87.175156 450.480649 \nL 88.09747 449.524489 \nL 89.942098 447.970477 \nL 90.864412 447.13509 \nL 91.786726 446.468939 \nL 92.709041 445.629166 \nL 100.087553 440.496206 \nL 106.543751 437.192749 \nL 112.99995 435.125573 \nL 118.533834 434.422079 \nL 119.456148 434.342446 \nL 124.067718 434.585863 \nL 127.756974 435.242694 \nL 132.368545 436.658037 \nL 136.980115 438.721431 \nL 140.669371 440.778356 \nL 145.280941 443.911783 \nL 148.970198 446.779703 \nL 154.504082 451.717128 \nL 157.271024 454.396641 \nL 163.727222 461.247581 \nL 170.183421 468.714344 \nL 175.717305 475.433062 \nL 193.241272 497.361968 \nL 199.69747 505.078028 \nL 204.309041 510.297187 \nL 208.920611 515.197187 \nL 213.532181 519.685285 \nL 217.221437 522.971924 \nL 220.910693 525.941833 \nL 224.59995 528.567156 \nL 228.289206 530.826746 \nL 231.978462 532.705104 \nL 234.745404 533.861778 \nL 237.512346 534.781029 \nL 240.279288 535.479242 \nL 243.046231 535.934298 \nL 245.813173 536.151144 \nL 248.580115 536.136291 \nL 251.347057 535.872215 \nL 254.113999 535.378178 \nL 256.880941 534.648906 \nL 259.647884 533.676871 \nL 262.414826 532.498739 \nL 266.104082 530.56678 \nL 269.793338 528.253869 \nL 273.482594 525.580281 \nL 277.17185 522.570011 \nL 279.938793 520.122929 \nL 284.550363 515.648625 \nL 287.317305 512.797212 \nL 292.851189 506.680369 \nL 298.385074 500.16073 \nL 303.918958 493.365009 \nL 310.375156 485.272745 \nL 318.675983 474.876989 \nL 324.209867 468.168695 \nL 327.899123 463.863775 \nL 331.588379 459.734592 \nL 335.277636 455.816583 \nL 338.966892 452.144234 \nL 343.578462 447.968249 \nL 346.345404 445.66442 \nL 350.956974 442.288982 \nL 353.723917 440.516955 \nL 356.490859 438.955549 \nL 360.180115 437.21504 \nL 363.869371 435.879665 \nL 367.558627 434.960403 \nL 370.325569 434.545092 \nL 373.092512 434.372009 \nL 375.859454 434.419938 \nL 379.54871 434.872897 \nL 382.315652 435.492589 \nL 385.082594 436.345293 \nL 387.849536 437.409825 \nL 391.538793 439.19552 \nL 395.228049 441.372191 \nL 398.917305 443.918134 \nL 401.684247 446.030706 \nL 406.295817 450.006203 \nL 409.06276 452.590995 \nL 413.67433 457.247966 \nL 420.130528 464.387058 \nL 425.664412 470.91277 \nL 453.333834 505.08829 \nL 459.790032 512.286845 \nL 463.479288 516.13131 \nL 469.013173 521.374791 \nL 473.624743 525.240404 \nL 479.158627 529.153767 \nL 481.925569 530.841908 \nL 486.53714 533.118033 \nL 490.226396 534.523382 \nL 494.837966 535.671106 \nL 499.449536 536.145157 \nL 502.216479 536.111184 \nL 503.138793 536.099628 \nL 507.750363 535.396682 \nL 512.361933 534.029317 \nL 516.051189 532.519219 \nL 520.66276 530.052273 \nL 527.118958 525.598583 \nL 530.808214 522.535744 \nL 532.652842 520.966614 \nL 540.031355 513.753575 \nL 547.409867 505.669507 \nL 548.332181 504.461641 \nL 550.176809 502.435886 \nL 551.099123 501.17508 \nL 552.943751 499.157223 \nL 554.788379 496.70485 \nL 555.710693 495.791644 \nL 556.633007 494.636212 \nL 558.477636 491.951632 \nL 563.089206 486.429607 \nL 564.01152 485.266759 \nL 564.01152 485.266759 \n\" style=\"fill:none;stroke:#c44e52;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_15\">\n    <path d=\"M 31.375156 541.501241 \nL 31.375156 429.032276 \n\" style=\"fill:none;stroke:#888888;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.12;\"/>\n   </g>\n   <g id=\"text_21\">\n    <!-- $n=4$ -->\n    <g style=\"fill:#bbbbbb;\" transform=\"translate(564.01152 439.256727)scale(0.15 -0.15)\">\n     <defs>\n      <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n     </defs>\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-110\"/>\n     <use transform=\"translate(82.861328 0.09375)\" xlink:href=\"#DejaVuSans-61\"/>\n     <use transform=\"translate(186.132812 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_8\">\n   <g id=\"patch_16\">\n    <path d=\"M 700.975156 541.501241 \nL 1258.975156 541.501241 \nL 1258.975156 429.032276 \nL 700.975156 429.032276 \nz\n\" style=\"fill:#232323;\"/>\n   </g>\n   <g id=\"matplotlib.axis_15\"/>\n   <g id=\"matplotlib.axis_16\">\n    <g id=\"ytick_22\">\n     <g id=\"line2d_70\">\n      <path clip-path=\"url(#p0c18d72e0b)\" d=\"M 700.975156 536.389016 \nL 1258.975156 536.389016 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_71\"/>\n    </g>\n    <g id=\"ytick_23\">\n     <g id=\"line2d_72\">\n      <path clip-path=\"url(#p0c18d72e0b)\" d=\"M 700.975156 485.266759 \nL 1258.975156 485.266759 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_73\"/>\n    </g>\n    <g id=\"ytick_24\">\n     <g id=\"line2d_74\">\n      <path clip-path=\"url(#p0c18d72e0b)\" d=\"M 700.975156 434.144502 \nL 1258.975156 434.144502 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_75\"/>\n    </g>\n   </g>\n   <g id=\"line2d_76\">\n    <path clip-path=\"url(#p0c18d72e0b)\" d=\"M 726.338793 485.266759 \nL 737.406561 471.425244 \nL 742.940446 464.829748 \nL 747.552016 459.621381 \nL 752.163586 454.747339 \nL 755.852842 451.131689 \nL 759.542098 447.800952 \nL 763.231355 444.782928 \nL 766.920611 442.102809 \nL 769.687553 440.328038 \nL 772.454495 438.764318 \nL 775.221437 437.418993 \nL 777.988379 436.298381 \nL 780.755322 435.407744 \nL 783.522264 434.751267 \nL 786.289206 434.332032 \nL 789.056148 434.152007 \nL 791.82309 434.212039 \nL 794.590032 434.511845 \nL 797.356974 435.050017 \nL 800.123917 435.824029 \nL 802.890859 436.830243 \nL 805.657801 438.063937 \nL 808.424743 439.519314 \nL 811.191685 441.189541 \nL 813.958627 443.066772 \nL 817.647884 445.876383 \nL 821.33714 449.014771 \nL 825.026396 452.455741 \nL 828.715652 456.170574 \nL 833.327222 461.151799 \nL 837.938793 466.447401 \nL 843.472677 473.119659 \nL 851.773503 483.515044 \nL 863.763586 498.545176 \nL 869.29747 505.167125 \nL 873.909041 510.405256 \nL 878.520611 515.315667 \nL 882.209867 518.964856 \nL 885.899123 522.332779 \nL 889.588379 525.391325 \nL 893.277636 528.114965 \nL 896.044578 529.924127 \nL 898.81152 531.52356 \nL 901.578462 532.905751 \nL 904.345404 534.06421 \nL 907.112346 534.993495 \nL 909.879288 535.689243 \nL 912.646231 536.148185 \nL 915.413173 536.368168 \nL 918.180115 536.348156 \nL 920.947057 536.088245 \nL 923.713999 535.589655 \nL 926.480941 534.854728 \nL 929.247884 533.886914 \nL 932.014826 532.69076 \nL 934.781768 531.271883 \nL 937.54871 529.636947 \nL 940.315652 527.79363 \nL 944.004908 525.026824 \nL 947.694165 521.928155 \nL 951.383421 518.523486 \nL 955.072677 514.841235 \nL 959.684247 509.895094 \nL 964.295817 504.627884 \nL 969.829702 497.980347 \nL 978.130528 487.602023 \nL 991.042925 471.425244 \nL 996.576809 464.829748 \nL 1001.188379 459.621381 \nL 1005.79995 454.747339 \nL 1009.489206 451.131689 \nL 1013.178462 447.800952 \nL 1016.867718 444.782928 \nL 1020.556974 442.102809 \nL 1023.323917 440.328038 \nL 1026.090859 438.764318 \nL 1028.857801 437.418993 \nL 1031.624743 436.298381 \nL 1034.391685 435.407744 \nL 1037.158627 434.751267 \nL 1039.925569 434.332032 \nL 1042.692512 434.152007 \nL 1045.459454 434.212039 \nL 1048.226396 434.511845 \nL 1050.993338 435.050017 \nL 1053.76028 435.824029 \nL 1056.527222 436.830243 \nL 1059.294165 438.063937 \nL 1062.061107 439.519314 \nL 1064.828049 441.189541 \nL 1067.594991 443.066772 \nL 1071.284247 445.876383 \nL 1074.973503 449.014771 \nL 1078.66276 452.455741 \nL 1082.352016 456.170574 \nL 1086.963586 461.151799 \nL 1091.575156 466.447401 \nL 1097.109041 473.119659 \nL 1105.409867 483.515044 \nL 1117.39995 498.545176 \nL 1122.933834 505.167125 \nL 1127.545404 510.405256 \nL 1132.156974 515.315667 \nL 1135.846231 518.964856 \nL 1139.535487 522.332779 \nL 1143.224743 525.391325 \nL 1146.913999 528.114965 \nL 1149.680941 529.924127 \nL 1152.447884 531.52356 \nL 1155.214826 532.905751 \nL 1157.981768 534.06421 \nL 1160.74871 534.993495 \nL 1163.515652 535.689243 \nL 1166.282594 536.148185 \nL 1169.049536 536.368168 \nL 1171.816479 536.348156 \nL 1174.583421 536.088245 \nL 1177.350363 535.589655 \nL 1180.117305 534.854728 \nL 1182.884247 533.886914 \nL 1185.651189 532.69076 \nL 1188.418131 531.271883 \nL 1191.185074 529.636947 \nL 1193.952016 527.79363 \nL 1197.641272 525.026824 \nL 1201.330528 521.928155 \nL 1205.019784 518.523486 \nL 1208.709041 514.841235 \nL 1213.320611 509.895094 \nL 1217.932181 504.627884 \nL 1223.466065 497.980347 \nL 1231.766892 487.602023 \nL 1232.689206 485.266759 \nL 1233.61152 485.266759 \nL 1233.61152 485.266759 \n\" style=\"fill:none;stroke:#3572c6;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_77\">\n    <path clip-path=\"url(#p0c18d72e0b)\" d=\"M 726.338793 485.266759 \nL 737.406561 494.25484 \nL 743.86276 499.228904 \nL 749.396644 503.213892 \nL 754.008214 506.280623 \nL 758.619784 509.073149 \nL 763.231355 511.554903 \nL 766.920611 513.293882 \nL 770.609867 514.800755 \nL 774.299123 516.062039 \nL 777.988379 517.061818 \nL 781.677636 517.799828 \nL 784.444578 518.173915 \nL 787.21152 518.394476 \nL 790.900776 518.445902 \nL 793.667718 518.305375 \nL 797.356974 517.874618 \nL 801.046231 517.173146 \nL 804.735487 516.202998 \nL 808.424743 514.967981 \nL 812.113999 513.499667 \nL 815.803255 511.777473 \nL 819.492512 509.84865 \nL 824.104082 507.147923 \nL 828.715652 504.159839 \nL 833.327222 500.925371 \nL 838.861107 496.778456 \nL 846.239619 490.927296 \nL 869.29747 472.344816 \nL 874.831355 468.287436 \nL 879.442925 465.146595 \nL 884.054495 462.268052 \nL 888.666065 459.689331 \nL 892.355322 457.864962 \nL 896.044578 456.269305 \nL 899.733834 454.91568 \nL 903.42309 453.815385 \nL 907.112346 452.977603 \nL 910.801603 452.409327 \nL 914.490859 452.115301 \nL 918.180115 452.097978 \nL 921.869371 452.357504 \nL 925.558627 452.891711 \nL 929.247884 453.696141 \nL 932.93714 454.76408 \nL 936.626396 456.086614 \nL 940.315652 457.652705 \nL 944.004908 459.44928 \nL 947.694165 461.461345 \nL 952.305735 464.253713 \nL 956.917305 467.320018 \nL 962.451189 471.304677 \nL 968.907388 476.279022 \nL 977.208214 482.993206 \nL 991.965239 494.982202 \nL 998.421437 499.913231 \nL 1003.955322 503.846804 \nL 1008.566892 506.861412 \nL 1013.178462 509.594502 \nL 1016.867718 511.5542 \nL 1020.556974 513.294487 \nL 1024.246231 514.800836 \nL 1027.935487 516.060675 \nL 1031.624743 517.063488 \nL 1035.313999 517.800905 \nL 1039.003255 518.26677 \nL 1042.692512 518.457197 \nL 1046.381768 518.370594 \nL 1050.071024 518.007685 \nL 1053.76028 517.3715 \nL 1057.449536 516.467347 \nL 1061.138793 515.302775 \nL 1064.828049 513.887502 \nL 1068.517305 512.233342 \nL 1072.206561 510.354101 \nL 1076.818131 507.712595 \nL 1081.429702 504.778473 \nL 1086.041272 501.589986 \nL 1091.575156 497.486768 \nL 1098.031355 492.41554 \nL 1109.099123 483.371678 \nL 1119.244578 475.18934 \nL 1125.700776 470.280936 \nL 1131.23466 466.373625 \nL 1135.846231 463.381625 \nL 1140.457801 460.632396 \nL 1143.224743 459.188419 \nL 1147.836313 457.097499 \nL 1149.680941 456.110579 \nL 1150.603255 455.773222 \nL 1153.370198 455.062348 \nL 1155.214826 454.174556 \nL 1156.13714 453.948799 \nL 1157.981768 453.748729 \nL 1159.826396 453.005497 \nL 1160.74871 452.885557 \nL 1161.671024 452.930987 \nL 1162.593338 452.788778 \nL 1163.515652 452.4383 \nL 1164.437966 452.265131 \nL 1165.36028 452.378267 \nL 1166.282594 452.37418 \nL 1167.204908 452.096635 \nL 1168.127222 451.975264 \nL 1169.049536 452.165205 \nL 1169.97185 452.195587 \nL 1170.894165 451.970864 \nL 1171.816479 452.006423 \nL 1172.738793 452.26938 \nL 1174.583421 452.121661 \nL 1176.428049 452.589126 \nL 1177.350363 452.489084 \nL 1178.272677 452.676187 \nL 1179.194991 453.0269 \nL 1180.117305 453.026037 \nL 1181.039619 453.162076 \nL 1181.961933 453.588317 \nL 1183.806561 453.829805 \nL 1184.728875 454.302196 \nL 1186.573503 454.660687 \nL 1187.495817 455.174172 \nL 1189.340446 455.648044 \nL 1190.26276 456.193929 \nL 1191.185074 456.410158 \nL 1192.107388 456.793638 \nL 1193.029702 457.339197 \nL 1193.952016 457.569551 \nL 1195.796644 458.582804 \nL 1196.718958 458.885766 \nL 1197.641272 459.522588 \nL 1199.4859 460.384153 \nL 1200.408214 461.01963 \nL 1201.330528 461.383924 \nL 1202.252842 462.038051 \nL 1204.09747 463.0521 \nL 1205.019784 463.743169 \nL 1205.942098 464.186438 \nL 1206.864412 464.889513 \nL 1208.709041 466.039038 \nL 1209.631355 466.734598 \nL 1210.553669 467.261838 \nL 1211.475983 468.017688 \nL 1212.398297 468.572969 \nL 1216.087553 471.33465 \nL 1217.009867 471.958722 \nL 1217.932181 472.73484 \nL 1218.854495 473.362446 \nL 1221.621437 475.569066 \nL 1225.310693 478.484204 \nL 1233.61152 485.266759 \nL 1233.61152 485.266759 \n\" style=\"fill:none;stroke:#83a83b;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_78\">\n    <path clip-path=\"url(#p0c18d72e0b)\" d=\"M 726.338793 485.292064 \nL 730.950363 486.180127 \nL 744.785074 488.801918 \nL 754.008214 490.339123 \nL 762.309041 491.498815 \nL 769.687553 492.309974 \nL 776.143751 492.828289 \nL 782.59995 493.153499 \nL 789.056148 493.277993 \nL 795.512346 493.198723 \nL 802.890859 492.859373 \nL 810.269371 492.267237 \nL 818.570198 491.323134 \nL 826.871024 490.12421 \nL 837.016479 488.384712 \nL 848.084247 486.272259 \nL 868.375156 482.316985 \nL 879.442925 480.409318 \nL 886.821437 479.333054 \nL 895.122264 478.359946 \nL 901.578462 477.803993 \nL 908.956974 477.391556 \nL 915.413173 477.257034 \nL 921.869371 477.323096 \nL 928.325569 477.591641 \nL 935.704082 478.137802 \nL 943.082594 478.921477 \nL 951.383421 480.054225 \nL 960.606561 481.568029 \nL 971.67433 483.63068 \nL 1001.188379 489.286318 \nL 1010.41152 490.751835 \nL 1018.712346 491.828926 \nL 1026.090859 492.555375 \nL 1033.469371 493.038987 \nL 1039.925569 493.249625 \nL 1046.381768 493.239165 \nL 1056.527222 492.945876 \nL 1061.138793 492.435497 \nL 1063.905735 492.381204 \nL 1068.517305 491.754911 \nL 1070.361933 491.671723 \nL 1073.128875 491.084213 \nL 1075.895817 490.927607 \nL 1077.740446 490.437015 \nL 1079.585074 490.319524 \nL 1080.507388 490.242838 \nL 1083.27433 489.589098 \nL 1085.118958 489.48082 \nL 1086.963586 488.930285 \nL 1089.730528 488.633858 \nL 1090.652842 488.31294 \nL 1091.575156 488.116077 \nL 1093.419784 487.983221 \nL 1095.264412 487.410555 \nL 1097.109041 487.284625 \nL 1098.953669 486.699928 \nL 1100.798297 486.564407 \nL 1102.642925 485.979093 \nL 1104.487553 485.829917 \nL 1106.332181 485.261563 \nL 1107.254495 485.236001 \nL 1108.176809 485.072577 \nL 1109.099123 484.72716 \nL 1110.021437 484.572238 \nL 1110.943751 484.543314 \nL 1112.788379 483.976579 \nL 1114.633007 483.812911 \nL 1115.555322 483.475063 \nL 1116.477636 483.303678 \nL 1117.39995 483.280563 \nL 1119.244578 482.736547 \nL 1120.166892 482.709386 \nL 1121.089206 482.554589 \nL 1122.01152 482.227426 \nL 1123.856148 482.072619 \nL 1124.778462 481.756321 \nL 1125.700776 481.599672 \nL 1126.62309 481.580184 \nL 1128.467718 481.094341 \nL 1129.390032 481.093135 \nL 1131.23466 480.622387 \nL 1132.156974 480.624523 \nL 1134.001603 480.179702 \nL 1134.923917 480.18242 \nL 1139.535487 479.375459 \nL 1140.457801 479.391959 \nL 1142.302429 479.017148 \nL 1143.224743 479.044948 \nL 1145.069371 478.693729 \nL 1145.991685 478.727394 \nL 1147.836313 478.410386 \nL 1148.758627 478.434204 \nL 1149.680941 478.215818 \nL 1151.525569 478.158987 \nL 1152.447884 477.946988 \nL 1154.292512 477.898261 \nL 1155.214826 477.732659 \nL 1156.13714 477.796243 \nL 1157.981768 477.582231 \nL 1158.904082 477.631633 \nL 1159.826396 477.460864 \nL 1161.671024 477.464572 \nL 1162.593338 477.33471 \nL 1163.515652 477.421156 \nL 1165.36028 477.292625 \nL 1166.282594 477.343746 \nL 1167.204908 477.216675 \nL 1168.127222 477.304401 \nL 1169.97185 477.221155 \nL 1170.894165 477.309468 \nL 1171.816479 477.207705 \nL 1173.661107 477.285442 \nL 1174.583421 477.26862 \nL 1175.505735 477.373317 \nL 1176.428049 477.299367 \nL 1177.350363 477.412123 \nL 1179.194991 477.43066 \nL 1180.117305 477.53555 \nL 1181.039619 477.493302 \nL 1181.961933 477.63241 \nL 1183.806561 477.70507 \nL 1198.563586 479.13169 \nL 1201.330528 479.549763 \nL 1203.175156 479.801546 \nL 1205.942098 480.196903 \nL 1210.553669 480.914093 \nL 1213.320611 481.423104 \nL 1216.087553 481.888596 \nL 1233.61152 485.266759 \nL 1233.61152 485.266759 \n\" style=\"fill:none;stroke:#c44e52;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n  </g>\n  <g id=\"axes_9\">\n   <g id=\"patch_17\">\n    <path d=\"M 31.375156 676.464 \nL 589.375156 676.464 \nL 589.375156 563.995034 \nL 31.375156 563.995034 \nz\n\" style=\"fill:#232323;\"/>\n   </g>\n   <g id=\"matplotlib.axis_17\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_79\"/>\n     <g id=\"text_22\">\n      <!-- 0 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(52.730418 691.638031)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_80\"/>\n     <g id=\"text_23\">\n      <!-- $1x10^{-5}$ -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(161.065974 691.638031)scale(0.126 -0.126)\">\n       <defs>\n        <path d=\"M 60.015625 54.6875 \nL 34.90625 27.875 \nL 50.296875 0 \nL 39.984375 0 \nL 28.421875 21.6875 \nL 8.296875 0 \nL -2.59375 0 \nL 24.3125 28.8125 \nL 10.015625 54.6875 \nL 20.3125 54.6875 \nL 30.8125 34.90625 \nL 49.125 54.6875 \nz\n\" id=\"DejaVuSans-Oblique-120\"/>\n        <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n       </defs>\n       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n       <use transform=\"translate(122.802734 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n       <use transform=\"translate(186.425781 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n       <use transform=\"translate(251.005859 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n       <use transform=\"translate(309.658203 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_81\"/>\n     <g id=\"text_24\">\n      <!-- $2x10^{-5}$ -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(287.884156 691.638031)scale(0.126 -0.126)\">\n       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-50\"/>\n       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n       <use transform=\"translate(122.802734 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n       <use transform=\"translate(186.425781 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n       <use transform=\"translate(251.005859 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n       <use transform=\"translate(309.658203 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_82\"/>\n     <g id=\"text_25\">\n      <!-- $3x10^{-5}$ -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(414.702338 691.638031)scale(0.126 -0.126)\">\n       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-51\"/>\n       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n       <use transform=\"translate(122.802734 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n       <use transform=\"translate(186.425781 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n       <use transform=\"translate(251.005859 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n       <use transform=\"translate(309.658203 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_83\"/>\n     <g id=\"text_26\">\n      <!-- $4x10^{-5}$ -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(541.52052 691.638031)scale(0.126 -0.126)\">\n       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-52\"/>\n       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n       <use transform=\"translate(122.802734 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n       <use transform=\"translate(186.425781 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n       <use transform=\"translate(251.005859 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n       <use transform=\"translate(309.658203 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_27\">\n     <!-- Distance in meters. -->\n     <g style=\"fill:#bbbbbb;\" transform=\"translate(240.058156 709.200188)scale(0.144 -0.144)\">\n      <defs>\n       <path d=\"M 19.671875 64.796875 \nL 19.671875 8.109375 \nL 31.59375 8.109375 \nQ 46.6875 8.109375 53.6875 14.9375 \nQ 60.6875 21.78125 60.6875 36.53125 \nQ 60.6875 51.171875 53.6875 57.984375 \nQ 46.6875 64.796875 31.59375 64.796875 \nz\nM 9.8125 72.90625 \nL 30.078125 72.90625 \nQ 51.265625 72.90625 61.171875 64.09375 \nQ 71.09375 55.28125 71.09375 36.53125 \nQ 71.09375 17.671875 61.125 8.828125 \nQ 51.171875 0 30.078125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-68\"/>\n       <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-68\"/>\n      <use x=\"77.001953\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"104.785156\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"156.884766\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"196.09375\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"257.373047\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"320.751953\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"375.732422\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"437.255859\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"469.042969\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"496.826172\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"560.205078\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"591.992188\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"689.404297\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"750.927734\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"790.136719\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"851.660156\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"892.773438\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"944.873047\" xlink:href=\"#DejaVuSans-46\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_18\">\n    <g id=\"ytick_25\">\n     <g id=\"line2d_84\">\n      <path clip-path=\"url(#p60009705b8)\" d=\"M 31.375156 671.351774 \nL 589.375156 671.351774 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_85\"/>\n     <g id=\"text_28\">\n      <!-- −1 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(7.2 676.13879)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_26\">\n     <g id=\"line2d_86\">\n      <path clip-path=\"url(#p60009705b8)\" d=\"M 31.375156 620.229517 \nL 589.375156 620.229517 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_87\"/>\n     <g id=\"text_29\">\n      <!-- 0 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(17.758406 625.016533)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_27\">\n     <g id=\"line2d_88\">\n      <path clip-path=\"url(#p60009705b8)\" d=\"M 31.375156 569.10726 \nL 589.375156 569.10726 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_89\"/>\n     <g id=\"text_30\">\n      <!-- 1 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(17.758406 573.894276)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_90\">\n    <path clip-path=\"url(#p60009705b8)\" d=\"M 56.738793 620.229517 \nL 65.961933 605.826713 \nL 70.573503 598.992564 \nL 74.26276 593.830113 \nL 77.952016 589.011819 \nL 81.641272 584.600496 \nL 84.408214 581.593893 \nL 87.175156 578.870742 \nL 89.942098 576.451022 \nL 92.709041 574.352484 \nL 95.475983 572.590525 \nL 98.242925 571.178071 \nL 100.087553 570.43583 \nL 101.932181 569.856005 \nL 103.776809 569.440489 \nL 105.621437 569.190635 \nL 107.466065 569.10726 \nL 109.310693 569.190635 \nL 111.155322 569.440489 \nL 112.99995 569.856005 \nL 114.844578 570.43583 \nL 116.689206 571.178071 \nL 119.456148 572.590525 \nL 122.22309 574.352484 \nL 124.990032 576.451022 \nL 127.756974 578.870742 \nL 130.523917 581.593893 \nL 133.290859 584.600496 \nL 136.980115 589.011819 \nL 140.669371 593.830113 \nL 144.358627 598.992564 \nL 148.970198 605.826713 \nL 155.426396 615.85473 \nL 167.416479 634.632321 \nL 172.028049 641.46647 \nL 175.717305 646.628921 \nL 179.406561 651.447215 \nL 183.095817 655.858539 \nL 185.86276 658.865141 \nL 188.629702 661.588292 \nL 191.396644 664.008012 \nL 194.163586 666.10655 \nL 196.930528 667.86851 \nL 199.69747 669.280964 \nL 201.542098 670.023205 \nL 203.386726 670.603029 \nL 205.231355 671.018546 \nL 207.075983 671.268399 \nL 208.920611 671.351774 \nL 210.765239 671.268399 \nL 212.609867 671.018546 \nL 214.454495 670.603029 \nL 216.299123 670.023205 \nL 218.143751 669.280964 \nL 220.910693 667.86851 \nL 223.677636 666.10655 \nL 226.444578 664.008012 \nL 229.21152 661.588292 \nL 231.978462 658.865141 \nL 234.745404 655.858539 \nL 238.43466 651.447215 \nL 242.123917 646.628921 \nL 245.813173 641.46647 \nL 250.424743 634.632321 \nL 256.880941 624.604305 \nL 268.871024 605.826713 \nL 273.482594 598.992564 \nL 277.17185 593.830113 \nL 280.861107 589.011819 \nL 284.550363 584.600496 \nL 287.317305 581.593893 \nL 290.084247 578.870742 \nL 292.851189 576.451022 \nL 295.618131 574.352484 \nL 298.385074 572.590525 \nL 301.152016 571.178071 \nL 302.996644 570.43583 \nL 304.841272 569.856005 \nL 306.6859 569.440489 \nL 308.530528 569.190635 \nL 310.375156 569.10726 \nL 312.219784 569.190635 \nL 314.064412 569.440489 \nL 315.909041 569.856005 \nL 317.753669 570.43583 \nL 319.598297 571.178071 \nL 322.365239 572.590525 \nL 325.132181 574.352484 \nL 327.899123 576.451022 \nL 330.666065 578.870742 \nL 333.433007 581.593893 \nL 336.19995 584.600496 \nL 339.889206 589.011819 \nL 343.578462 593.830113 \nL 347.267718 598.992564 \nL 351.879288 605.826713 \nL 358.335487 615.85473 \nL 370.325569 634.632321 \nL 374.93714 641.46647 \nL 378.626396 646.628921 \nL 382.315652 651.447215 \nL 386.004908 655.858539 \nL 388.77185 658.865141 \nL 391.538793 661.588292 \nL 394.305735 664.008012 \nL 397.072677 666.10655 \nL 399.839619 667.86851 \nL 402.606561 669.280964 \nL 404.451189 670.023205 \nL 406.295817 670.603029 \nL 408.140446 671.018546 \nL 409.985074 671.268399 \nL 411.829702 671.351774 \nL 413.67433 671.268399 \nL 415.518958 671.018546 \nL 417.363586 670.603029 \nL 419.208214 670.023205 \nL 421.052842 669.280964 \nL 423.819784 667.86851 \nL 426.586726 666.10655 \nL 429.353669 664.008012 \nL 432.120611 661.588292 \nL 434.887553 658.865141 \nL 437.654495 655.858539 \nL 441.343751 651.447215 \nL 445.033007 646.628921 \nL 448.722264 641.46647 \nL 453.333834 634.632321 \nL 459.790032 624.604305 \nL 471.780115 605.826713 \nL 476.391685 598.992564 \nL 480.080941 593.830113 \nL 483.770198 589.011819 \nL 487.459454 584.600496 \nL 490.226396 581.593893 \nL 492.993338 578.870742 \nL 495.76028 576.451022 \nL 498.527222 574.352484 \nL 501.294165 572.590525 \nL 504.061107 571.178071 \nL 505.905735 570.43583 \nL 507.750363 569.856005 \nL 509.594991 569.440489 \nL 511.439619 569.190635 \nL 513.284247 569.10726 \nL 515.128875 569.190635 \nL 516.973503 569.440489 \nL 518.818131 569.856005 \nL 520.66276 570.43583 \nL 522.507388 571.178071 \nL 525.27433 572.590525 \nL 528.041272 574.352484 \nL 530.808214 576.451022 \nL 533.575156 578.870742 \nL 536.342098 581.593893 \nL 539.109041 584.600496 \nL 542.798297 589.011819 \nL 546.487553 593.830113 \nL 550.176809 598.992564 \nL 554.788379 605.826713 \nL 561.244578 615.85473 \nL 562.166892 617.311008 \nL 563.089206 620.229517 \nL 564.01152 620.229517 \nL 564.01152 620.229517 \n\" style=\"fill:none;stroke:#3572c6;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_91\">\n    <path clip-path=\"url(#p60009705b8)\" d=\"M 56.738793 620.229517 \nL 76.107388 618.574909 \nL 88.09747 617.812772 \nL 96.398297 617.467347 \nL 107.466065 617.296201 \nL 119.456148 617.501614 \nL 126.83466 617.811129 \nL 136.980115 618.444584 \nL 144.358627 619.018889 \nL 150.814826 619.5599 \nL 160.96028 620.479126 \nL 174.794991 621.679269 \nL 185.86276 622.439322 \nL 192.318958 622.792511 \nL 198.775156 623.009287 \nL 204.309041 623.135744 \nL 219.988379 622.997772 \nL 243.968545 621.605605 \nL 248.580115 621.189783 \nL 251.347057 620.98684 \nL 256.880941 620.452517 \nL 257.803255 620.425727 \nL 259.647884 620.251967 \nL 262.414826 619.983868 \nL 265.181768 619.698645 \nL 266.104082 619.681733 \nL 267.026396 619.533398 \nL 268.871024 619.387805 \nL 272.56028 619.123836 \nL 273.482594 618.972323 \nL 274.404908 618.975588 \nL 275.327222 618.83155 \nL 277.17185 618.718333 \nL 279.938793 618.460504 \nL 280.861107 618.487378 \nL 281.783421 618.338302 \nL 283.628049 618.257285 \nL 284.550363 618.153237 \nL 285.472677 618.181115 \nL 286.394991 618.012895 \nL 287.317305 618.062043 \nL 289.161933 617.893517 \nL 290.084247 617.909197 \nL 291.006561 617.740998 \nL 291.928875 617.830172 \nL 292.851189 617.686607 \nL 297.46276 617.525035 \nL 298.385074 617.426505 \nL 299.307388 617.585849 \nL 300.229702 617.363554 \nL 301.152016 617.38504 \nL 302.07433 617.538925 \nL 302.996644 617.249307 \nL 303.918958 617.297305 \nL 304.841272 617.571697 \nL 306.6859 616.934777 \nL 307.608214 616.995421 \nL 309.452842 617.300798 \nL 312.219784 617.593864 \nL 313.142098 617.026531 \nL 314.064412 616.686593 \nL 314.986726 617.352297 \nL 315.909041 617.714356 \nL 316.831355 617.150607 \nL 317.753669 617.272257 \nL 318.675983 617.630955 \nL 319.598297 617.264656 \nL 321.442925 617.602334 \nL 322.365239 617.348142 \nL 323.287553 617.617216 \nL 325.132181 617.518104 \nL 326.054495 617.746716 \nL 326.976809 617.591164 \nL 327.899123 617.75661 \nL 334.355322 618.041694 \nL 335.277636 618.179413 \nL 336.19995 618.129541 \nL 337.122264 618.299048 \nL 338.044578 618.278168 \nL 339.889206 618.454008 \nL 340.81152 618.475612 \nL 341.733834 618.617789 \nL 342.656148 618.601939 \nL 343.578462 618.753556 \nL 345.42309 618.871243 \nL 357.413173 619.868998 \nL 359.257801 620.041811 \nL 362.947057 620.404758 \nL 367.558627 620.792045 \nL 370.325569 621.061832 \nL 390.616479 622.560426 \nL 411.829702 623.15491 \nL 418.2859 623.108875 \nL 435.809867 622.394247 \nL 459.790032 620.47594 \nL 474.547057 619.167175 \nL 486.53714 618.245593 \nL 499.449536 617.562608 \nL 510.517305 617.310047 \nL 519.740446 617.358432 \nL 528.041272 617.599462 \nL 538.186726 618.12911 \nL 548.332181 618.861733 \nL 564.01152 620.229517 \nL 564.01152 620.229517 \n\" style=\"fill:none;stroke:#83a83b;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_92\">\n    <path clip-path=\"url(#p60009705b8)\" d=\"M 56.738793 621.657179 \nL 57.661107 621.705889 \nL 60.428049 626.260478 \nL 62.272677 628.394475 \nL 63.194991 629.966748 \nL 64.117305 631.996186 \nL 65.039619 633.420515 \nL 65.961933 634.283504 \nL 66.884247 635.792374 \nL 67.806561 637.563376 \nL 68.728875 638.597657 \nL 69.651189 639.821826 \nL 70.573503 641.516387 \nL 72.418131 643.787007 \nL 73.340446 645.361393 \nL 75.185074 647.599792 \nL 76.107388 649.034575 \nL 77.029702 649.991819 \nL 78.87433 652.472957 \nL 79.796644 653.376527 \nL 80.718958 654.631636 \nL 85.330528 659.548555 \nL 86.252842 660.498649 \nL 87.175156 661.238418 \nL 88.09747 662.221548 \nL 89.942098 663.705885 \nL 90.864412 664.503503 \nL 91.786726 665.08014 \nL 92.709041 665.860583 \nL 97.320611 668.582205 \nL 101.932181 670.320197 \nL 106.543751 671.034574 \nL 107.466065 670.973253 \nL 108.388379 671.030783 \nL 112.077636 670.469265 \nL 112.99995 670.307594 \nL 117.61152 668.550669 \nL 121.300776 666.448664 \nL 124.990032 663.698167 \nL 126.83466 662.127035 \nL 128.679288 660.436251 \nL 131.446231 657.62752 \nL 133.290859 655.598007 \nL 135.135487 653.467565 \nL 137.902429 650.076435 \nL 140.669371 646.475097 \nL 147.125569 637.312347 \nL 158.193338 620.213864 \nL 171.105735 600.46199 \nL 175.717305 594.018151 \nL 178.484247 590.364773 \nL 183.095817 584.832453 \nL 186.785074 580.904772 \nL 190.47433 577.502316 \nL 193.241272 575.306581 \nL 196.008214 573.461327 \nL 197.852842 572.410384 \nL 199.69747 571.51267 \nL 201.542098 570.771568 \nL 203.386726 570.190442 \nL 205.231355 569.77236 \nL 207.075983 569.519788 \nL 209.842925 569.473089 \nL 211.687553 569.638177 \nL 213.532181 569.966584 \nL 215.376809 570.45792 \nL 217.221437 571.111417 \nL 219.988379 572.400621 \nL 221.833007 573.453809 \nL 223.677636 574.658006 \nL 226.444578 576.738057 \nL 229.21152 579.137931 \nL 232.900776 582.803087 \nL 236.590032 586.960768 \nL 241.201603 592.776798 \nL 244.890859 597.818576 \nL 250.424743 605.911314 \nL 261.492512 623.127138 \nL 268.871024 634.541065 \nL 274.404908 642.640193 \nL 279.016479 648.89415 \nL 282.705735 653.486383 \nL 285.472677 656.651532 \nL 288.239619 659.543469 \nL 291.006561 662.154539 \nL 293.773503 664.449431 \nL 296.540446 666.427937 \nL 299.307388 668.062215 \nL 302.07433 669.346034 \nL 303.918958 670.001898 \nL 305.763586 670.495537 \nL 307.608214 670.825459 \nL 309.452842 670.990685 \nL 311.29747 670.990746 \nL 313.142098 670.825664 \nL 314.986726 670.495956 \nL 316.831355 670.002624 \nL 318.675983 669.347162 \nL 321.442925 668.060376 \nL 324.209867 666.430413 \nL 326.976809 664.446703 \nL 329.743751 662.156831 \nL 332.510693 659.542486 \nL 335.277636 656.650385 \nL 338.044578 653.490144 \nL 341.733834 648.901085 \nL 346.345404 642.632244 \nL 350.03466 637.294766 \nL 355.568545 628.89653 \nL 370.325569 605.914828 \nL 375.859454 597.807715 \nL 381.393338 590.371724 \nL 385.082594 585.892846 \nL 387.849536 582.803041 \nL 391.538793 579.130396 \nL 395.228049 576.001748 \nL 397.994991 574.03043 \nL 400.761933 572.405493 \nL 402.606561 571.511398 \nL 404.451189 570.773667 \nL 406.295817 570.194619 \nL 408.140446 569.776632 \nL 409.985074 569.522081 \nL 412.752016 569.476263 \nL 414.596644 569.644974 \nL 416.441272 569.975511 \nL 418.2859 570.466592 \nL 420.130528 571.117227 \nL 421.975156 571.926648 \nL 424.742098 573.46128 \nL 426.586726 574.669468 \nL 428.431355 576.022191 \nL 430.275983 577.515085 \nL 433.042925 580.013929 \nL 435.809867 582.79987 \nL 439.499123 586.957938 \nL 444.110693 592.763828 \nL 449.644578 600.442951 \nL 457.945404 612.983381 \nL 465.323917 624.596963 \nL 477.313999 642.648831 \nL 481.925569 648.920521 \nL 487.459454 655.610033 \nL 490.226396 658.639375 \nL 494.837966 662.971905 \nL 498.527222 665.825857 \nL 501.294165 667.57395 \nL 504.983421 669.370723 \nL 507.750363 670.294306 \nL 511.439619 670.950135 \nL 514.206561 671.029939 \nL 518.818131 670.294669 \nL 523.429702 668.542837 \nL 527.118958 666.450164 \nL 529.8859 664.505168 \nL 531.730528 662.975356 \nL 534.49747 660.509135 \nL 536.342098 658.613733 \nL 537.264412 657.689352 \nL 538.186726 656.58161 \nL 539.109041 655.680227 \nL 544.642925 648.969461 \nL 545.565239 647.599533 \nL 547.409867 645.267865 \nL 548.332181 643.823507 \nL 550.176809 641.403861 \nL 551.099123 639.875484 \nL 552.943751 637.430464 \nL 554.788379 634.422626 \nL 555.710693 633.30312 \nL 556.633007 631.877851 \nL 558.477636 628.549814 \nL 563.089206 621.679536 \nL 564.01152 620.229517 \nL 564.01152 620.229517 \n\" style=\"fill:none;stroke:#c44e52;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_18\">\n    <path d=\"M 31.375156 676.464 \nL 31.375156 563.995034 \n\" style=\"fill:none;stroke:#888888;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.12;\"/>\n   </g>\n   <g id=\"patch_19\">\n    <path d=\"M 31.375156 676.464 \nL 589.375156 676.464 \n\" style=\"fill:none;stroke:#888888;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.12;\"/>\n   </g>\n   <g id=\"text_31\">\n    <!-- $n=5$ -->\n    <g style=\"fill:#bbbbbb;\" transform=\"translate(564.01152 574.219486)scale(0.15 -0.15)\">\n     <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-110\"/>\n     <use transform=\"translate(82.861328 0.09375)\" xlink:href=\"#DejaVuSans-61\"/>\n     <use transform=\"translate(186.132812 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_10\">\n   <g id=\"patch_20\">\n    <path d=\"M 700.975156 676.464 \nL 1258.975156 676.464 \nL 1258.975156 563.995034 \nL 700.975156 563.995034 \nz\n\" style=\"fill:#232323;\"/>\n   </g>\n   <g id=\"matplotlib.axis_19\">\n    <g id=\"xtick_6\">\n     <g id=\"line2d_93\"/>\n     <g id=\"text_32\">\n      <!-- 0 -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(722.330418 691.638031)scale(0.126 -0.126)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_94\"/>\n     <g id=\"text_33\">\n      <!-- $2x10^{-5}$ -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(805.302338 691.638031)scale(0.126 -0.126)\">\n       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-50\"/>\n       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n       <use transform=\"translate(122.802734 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n       <use transform=\"translate(186.425781 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n       <use transform=\"translate(251.005859 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n       <use transform=\"translate(309.658203 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_95\"/>\n     <g id=\"text_34\">\n      <!-- $4x10^{-5}$ -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(906.756884 691.638031)scale(0.126 -0.126)\">\n       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-52\"/>\n       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n       <use transform=\"translate(122.802734 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n       <use transform=\"translate(186.425781 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n       <use transform=\"translate(251.005859 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n       <use transform=\"translate(309.658203 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_96\"/>\n     <g id=\"text_35\">\n      <!-- $6x10^{-5}$ -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(1008.211429 691.638031)scale(0.126 -0.126)\">\n       <defs>\n        <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n       </defs>\n       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-54\"/>\n       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n       <use transform=\"translate(122.802734 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n       <use transform=\"translate(186.425781 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n       <use transform=\"translate(251.005859 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n       <use transform=\"translate(309.658203 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_10\">\n     <g id=\"line2d_97\"/>\n     <g id=\"text_36\">\n      <!-- $8x10^{-5}$ -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(1109.665974 691.638031)scale(0.126 -0.126)\">\n       <defs>\n        <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n       </defs>\n       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-56\"/>\n       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n       <use transform=\"translate(122.802734 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n       <use transform=\"translate(186.425781 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n       <use transform=\"translate(251.005859 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n       <use transform=\"translate(309.658203 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_11\">\n     <g id=\"line2d_98\"/>\n     <g id=\"text_37\">\n      <!-- $1x10^{-4}$ -->\n      <g style=\"fill:#bbbbbb;\" transform=\"translate(1211.12052 691.638031)scale(0.126 -0.126)\">\n       <use transform=\"translate(0 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n       <use transform=\"translate(63.623047 0.684375)\" xlink:href=\"#DejaVuSans-Oblique-120\"/>\n       <use transform=\"translate(122.802734 0.684375)\" xlink:href=\"#DejaVuSans-49\"/>\n       <use transform=\"translate(186.425781 0.684375)\" xlink:href=\"#DejaVuSans-48\"/>\n       <use transform=\"translate(251.005859 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-8722\"/>\n       <use transform=\"translate(309.658203 38.965625)scale(0.7)\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_38\">\n     <!-- Distance in meters. -->\n     <g style=\"fill:#bbbbbb;\" transform=\"translate(909.658156 709.200188)scale(0.144 -0.144)\">\n      <use xlink:href=\"#DejaVuSans-68\"/>\n      <use x=\"77.001953\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"104.785156\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"156.884766\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"196.09375\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"257.373047\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"320.751953\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"375.732422\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"437.255859\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"469.042969\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"496.826172\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"560.205078\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"591.992188\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"689.404297\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"750.927734\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"790.136719\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"851.660156\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"892.773438\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"944.873047\" xlink:href=\"#DejaVuSans-46\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_20\">\n    <g id=\"ytick_28\">\n     <g id=\"line2d_99\">\n      <path clip-path=\"url(#p86825a19d4)\" d=\"M 700.975156 671.351774 \nL 1258.975156 671.351774 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_100\"/>\n    </g>\n    <g id=\"ytick_29\">\n     <g id=\"line2d_101\">\n      <path clip-path=\"url(#p86825a19d4)\" d=\"M 700.975156 620.229517 \nL 1258.975156 620.229517 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_102\"/>\n    </g>\n    <g id=\"ytick_30\">\n     <g id=\"line2d_103\">\n      <path clip-path=\"url(#p86825a19d4)\" d=\"M 700.975156 569.10726 \nL 1258.975156 569.10726 \n\" style=\"fill:none;stroke:#303030;stroke-linecap:square;stroke-width:1.12;\"/>\n     </g>\n     <g id=\"line2d_104\"/>\n    </g>\n   </g>\n   <g id=\"line2d_105\">\n    <path clip-path=\"url(#p86825a19d4)\" d=\"M 726.338793 620.229517 \nL 737.406561 606.388003 \nL 742.940446 599.792507 \nL 747.552016 594.584139 \nL 752.163586 589.710098 \nL 755.852842 586.094447 \nL 759.542098 582.76371 \nL 763.231355 579.745687 \nL 766.920611 577.065568 \nL 769.687553 575.290797 \nL 772.454495 573.727077 \nL 775.221437 572.381751 \nL 777.988379 571.261139 \nL 780.755322 570.370503 \nL 783.522264 569.714026 \nL 786.289206 569.29479 \nL 789.056148 569.114766 \nL 791.82309 569.174797 \nL 794.590032 569.474604 \nL 797.356974 570.012776 \nL 800.123917 570.786787 \nL 802.890859 571.793002 \nL 805.657801 573.026695 \nL 808.424743 574.482073 \nL 811.191685 576.152299 \nL 813.958627 578.029531 \nL 817.647884 580.839141 \nL 821.33714 583.977529 \nL 825.026396 587.4185 \nL 828.715652 591.133332 \nL 833.327222 596.114558 \nL 837.938793 601.410159 \nL 843.472677 608.082417 \nL 851.773503 618.477802 \nL 863.763586 633.507935 \nL 869.29747 640.129884 \nL 873.909041 645.368014 \nL 878.520611 650.278426 \nL 882.209867 653.927615 \nL 885.899123 657.295538 \nL 889.588379 660.354083 \nL 893.277636 663.077724 \nL 896.044578 664.886886 \nL 898.81152 666.486318 \nL 901.578462 667.86851 \nL 904.345404 669.026968 \nL 907.112346 669.956254 \nL 909.879288 670.652001 \nL 912.646231 671.110944 \nL 915.413173 671.330926 \nL 918.180115 671.310915 \nL 920.947057 671.051004 \nL 923.713999 670.552414 \nL 926.480941 669.817486 \nL 929.247884 668.849673 \nL 932.014826 667.653519 \nL 934.781768 666.234642 \nL 937.54871 664.599706 \nL 940.315652 662.756389 \nL 944.004908 659.989583 \nL 947.694165 656.890914 \nL 951.383421 653.486245 \nL 955.072677 649.803994 \nL 959.684247 644.857852 \nL 964.295817 639.590643 \nL 969.829702 632.943106 \nL 978.130528 622.564782 \nL 991.042925 606.388003 \nL 996.576809 599.792507 \nL 1001.188379 594.584139 \nL 1005.79995 589.710098 \nL 1009.489206 586.094447 \nL 1013.178462 582.76371 \nL 1016.867718 579.745687 \nL 1020.556974 577.065568 \nL 1023.323917 575.290797 \nL 1026.090859 573.727077 \nL 1028.857801 572.381751 \nL 1031.624743 571.261139 \nL 1034.391685 570.370503 \nL 1037.158627 569.714026 \nL 1039.925569 569.29479 \nL 1042.692512 569.114766 \nL 1045.459454 569.174797 \nL 1048.226396 569.474604 \nL 1050.993338 570.012776 \nL 1053.76028 570.786787 \nL 1056.527222 571.793002 \nL 1059.294165 573.026695 \nL 1062.061107 574.482073 \nL 1064.828049 576.152299 \nL 1067.594991 578.029531 \nL 1071.284247 580.839141 \nL 1074.973503 583.977529 \nL 1078.66276 587.4185 \nL 1082.352016 591.133332 \nL 1086.963586 596.114558 \nL 1091.575156 601.410159 \nL 1097.109041 608.082417 \nL 1105.409867 618.477802 \nL 1117.39995 633.507935 \nL 1122.933834 640.129884 \nL 1127.545404 645.368014 \nL 1132.156974 650.278426 \nL 1135.846231 653.927615 \nL 1139.535487 657.295538 \nL 1143.224743 660.354083 \nL 1146.913999 663.077724 \nL 1149.680941 664.886886 \nL 1152.447884 666.486318 \nL 1155.214826 667.86851 \nL 1157.981768 669.026968 \nL 1160.74871 669.956254 \nL 1163.515652 670.652001 \nL 1166.282594 671.110944 \nL 1169.049536 671.330926 \nL 1171.816479 671.310915 \nL 1174.583421 671.051004 \nL 1177.350363 670.552414 \nL 1180.117305 669.817486 \nL 1182.884247 668.849673 \nL 1185.651189 667.653519 \nL 1188.418131 666.234642 \nL 1191.185074 664.599706 \nL 1193.952016 662.756389 \nL 1197.641272 659.989583 \nL 1201.330528 656.890914 \nL 1205.019784 653.486245 \nL 1208.709041 649.803994 \nL 1213.320611 644.857852 \nL 1217.932181 639.590643 \nL 1223.466065 632.943106 \nL 1231.766892 622.564782 \nL 1232.689206 620.229517 \nL 1233.61152 620.229517 \nL 1233.61152 620.229517 \n\" style=\"fill:none;stroke:#3572c6;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_106\">\n    <path clip-path=\"url(#p86825a19d4)\" d=\"M 726.338793 620.229517 \nL 737.406561 629.217598 \nL 743.86276 634.191663 \nL 749.396644 638.176651 \nL 754.008214 641.243382 \nL 758.619784 644.035908 \nL 763.231355 646.517662 \nL 766.920611 648.25664 \nL 770.609867 649.763514 \nL 774.299123 651.024798 \nL 777.988379 652.024577 \nL 781.677636 652.762587 \nL 784.444578 653.136674 \nL 787.21152 653.357234 \nL 790.900776 653.408661 \nL 793.667718 653.268133 \nL 797.356974 652.837377 \nL 801.046231 652.135905 \nL 804.735487 651.165757 \nL 808.424743 649.930739 \nL 812.113999 648.462425 \nL 815.803255 646.740231 \nL 819.492512 644.811408 \nL 824.104082 642.110682 \nL 828.715652 639.122597 \nL 833.327222 635.888129 \nL 838.861107 631.741214 \nL 846.239619 625.890055 \nL 869.29747 607.307575 \nL 874.831355 603.250195 \nL 879.442925 600.109354 \nL 884.054495 597.23081 \nL 888.666065 594.65209 \nL 892.355322 592.82772 \nL 896.044578 591.232064 \nL 899.733834 589.878439 \nL 903.42309 588.778143 \nL 907.112346 587.940362 \nL 910.801603 587.372086 \nL 914.490859 587.07806 \nL 918.180115 587.060737 \nL 921.869371 587.320262 \nL 925.558627 587.854469 \nL 929.247884 588.6589 \nL 932.93714 589.726839 \nL 936.626396 591.049373 \nL 940.315652 592.615464 \nL 944.004908 594.412039 \nL 947.694165 596.424104 \nL 952.305735 599.216472 \nL 956.917305 602.282777 \nL 962.451189 606.267436 \nL 968.907388 611.241781 \nL 977.208214 617.955964 \nL 991.965239 629.94496 \nL 998.421437 634.875989 \nL 1003.955322 638.809562 \nL 1008.566892 641.824171 \nL 1013.178462 644.55726 \nL 1016.867718 646.516959 \nL 1020.556974 648.257246 \nL 1024.246231 649.763595 \nL 1027.935487 651.023434 \nL 1031.624743 652.026247 \nL 1035.313999 652.763663 \nL 1039.003255 653.229529 \nL 1042.692512 653.419955 \nL 1046.381768 653.333353 \nL 1050.071024 652.970444 \nL 1053.76028 652.334258 \nL 1057.449536 651.430106 \nL 1061.138793 650.265533 \nL 1064.828049 648.85026 \nL 1068.517305 647.1961 \nL 1072.206561 645.31686 \nL 1076.818131 642.675354 \nL 1081.429702 639.741232 \nL 1086.041272 636.552745 \nL 1091.575156 632.449526 \nL 1098.031355 627.378298 \nL 1109.099123 618.334436 \nL 1119.244578 610.152099 \nL 1125.700776 605.243695 \nL 1131.23466 601.336383 \nL 1135.846231 598.344383 \nL 1140.457801 595.595154 \nL 1143.224743 594.151178 \nL 1147.836313 592.060258 \nL 1149.680941 591.073338 \nL 1150.603255 590.735981 \nL 1153.370198 590.025107 \nL 1155.214826 589.137315 \nL 1156.13714 588.911557 \nL 1157.981768 588.711488 \nL 1159.826396 587.968255 \nL 1160.74871 587.848316 \nL 1161.671024 587.893746 \nL 1162.593338 587.751536 \nL 1163.515652 587.401059 \nL 1164.437966 587.22789 \nL 1165.36028 587.341026 \nL 1166.282594 587.336939 \nL 1167.204908 587.059394 \nL 1168.127222 586.938022 \nL 1169.049536 587.127963 \nL 1169.97185 587.158346 \nL 1170.894165 586.933623 \nL 1171.816479 586.969182 \nL 1172.738793 587.232139 \nL 1174.583421 587.08442 \nL 1176.428049 587.551885 \nL 1177.350363 587.451842 \nL 1178.272677 587.638946 \nL 1179.194991 587.989659 \nL 1180.117305 587.988795 \nL 1181.039619 588.124835 \nL 1181.961933 588.551076 \nL 1183.806561 588.792563 \nL 1184.728875 589.264955 \nL 1186.573503 589.623445 \nL 1187.495817 590.136931 \nL 1189.340446 590.610802 \nL 1190.26276 591.156688 \nL 1191.185074 591.372916 \nL 1192.107388 591.756397 \nL 1193.029702 592.301955 \nL 1193.952016 592.532309 \nL 1195.796644 593.545562 \nL 1196.718958 593.848525 \nL 1197.641272 594.485347 \nL 1199.4859 595.346911 \nL 1200.408214 595.982389 \nL 1201.330528 596.346683 \nL 1202.252842 597.00081 \nL 1204.09747 598.014859 \nL 1205.019784 598.705928 \nL 1205.942098 599.149196 \nL 1206.864412 599.852272 \nL 1208.709041 601.001797 \nL 1209.631355 601.697357 \nL 1210.553669 602.224597 \nL 1211.475983 602.980447 \nL 1212.398297 603.535728 \nL 1216.087553 606.297408 \nL 1217.009867 606.92148 \nL 1217.932181 607.697598 \nL 1218.854495 608.325205 \nL 1221.621437 610.531825 \nL 1225.310693 613.446962 \nL 1233.61152 620.229517 \nL 1233.61152 620.229517 \n\" style=\"fill:none;stroke:#83a83b;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_107\">\n    <path clip-path=\"url(#p86825a19d4)\" d=\"M 726.338793 620.254823 \nL 730.950363 621.142885 \nL 744.785074 623.764677 \nL 754.008214 625.301882 \nL 762.309041 626.461574 \nL 769.687553 627.272732 \nL 776.143751 627.791047 \nL 782.59995 628.116258 \nL 789.056148 628.240752 \nL 795.512346 628.161481 \nL 802.890859 627.822132 \nL 810.269371 627.229996 \nL 818.570198 626.285893 \nL 826.871024 625.086968 \nL 837.016479 623.34747 \nL 848.084247 621.235017 \nL 868.375156 617.279743 \nL 879.442925 615.372076 \nL 886.821437 614.295812 \nL 895.122264 613.322705 \nL 901.578462 612.766752 \nL 908.956974 612.354314 \nL 915.413173 612.219793 \nL 921.869371 612.285855 \nL 928.325569 612.5544 \nL 935.704082 613.10056 \nL 943.082594 613.884235 \nL 951.383421 615.016984 \nL 960.606561 616.530788 \nL 971.67433 618.593439 \nL 1001.188379 624.249076 \nL 1010.41152 625.714594 \nL 1018.712346 626.791685 \nL 1026.090859 627.518133 \nL 1033.469371 628.001745 \nL 1039.925569 628.212383 \nL 1046.381768 628.201923 \nL 1056.527222 627.908635 \nL 1061.138793 627.398256 \nL 1063.905735 627.343962 \nL 1068.517305 626.71767 \nL 1070.361933 626.634482 \nL 1073.128875 626.046972 \nL 1075.895817 625.890366 \nL 1077.740446 625.399773 \nL 1079.585074 625.282283 \nL 1080.507388 625.205596 \nL 1083.27433 624.551856 \nL 1085.118958 624.443578 \nL 1086.963586 623.893044 \nL 1089.730528 623.596616 \nL 1090.652842 623.275699 \nL 1091.575156 623.078835 \nL 1093.419784 622.94598 \nL 1095.264412 622.373314 \nL 1097.109041 622.247384 \nL 1098.953669 621.662686 \nL 1100.798297 621.527166 \nL 1102.642925 620.941851 \nL 1104.487553 620.792675 \nL 1106.332181 620.224321 \nL 1107.254495 620.19876 \nL 1108.176809 620.035336 \nL 1109.099123 619.689919 \nL 1110.021437 619.534997 \nL 1110.943751 619.506073 \nL 1112.788379 618.939337 \nL 1114.633007 618.775669 \nL 1115.555322 618.437821 \nL 1116.477636 618.266437 \nL 1117.39995 618.243322 \nL 1119.244578 617.699306 \nL 1120.166892 617.672145 \nL 1121.089206 617.517347 \nL 1122.01152 617.190185 \nL 1123.856148 617.035378 \nL 1124.778462 616.719079 \nL 1125.700776 616.56243 \nL 1126.62309 616.542943 \nL 1128.467718 616.0571 \nL 1129.390032 616.055893 \nL 1131.23466 615.585145 \nL 1132.156974 615.587282 \nL 1134.001603 615.142461 \nL 1134.923917 615.145179 \nL 1139.535487 614.338218 \nL 1140.457801 614.354717 \nL 1142.302429 613.979907 \nL 1143.224743 614.007707 \nL 1145.069371 613.656488 \nL 1145.991685 613.690153 \nL 1147.836313 613.373145 \nL 1148.758627 613.396963 \nL 1149.680941 613.178577 \nL 1151.525569 613.121745 \nL 1152.447884 612.909747 \nL 1154.292512 612.86102 \nL 1155.214826 612.695417 \nL 1156.13714 612.759002 \nL 1157.981768 612.54499 \nL 1158.904082 612.594391 \nL 1159.826396 612.423622 \nL 1161.671024 612.427331 \nL 1162.593338 612.297469 \nL 1163.515652 612.383914 \nL 1165.36028 612.255384 \nL 1166.282594 612.306504 \nL 1167.204908 612.179434 \nL 1168.127222 612.26716 \nL 1169.97185 612.183913 \nL 1170.894165 612.272226 \nL 1171.816479 612.170464 \nL 1173.661107 612.248201 \nL 1174.583421 612.231379 \nL 1175.505735 612.336075 \nL 1176.428049 612.262126 \nL 1177.350363 612.374881 \nL 1179.194991 612.393418 \nL 1180.117305 612.498309 \nL 1181.039619 612.45606 \nL 1181.961933 612.595169 \nL 1183.806561 612.667828 \nL 1198.563586 614.094449 \nL 1201.330528 614.512522 \nL 1203.175156 614.764305 \nL 1205.942098 615.159661 \nL 1210.553669 615.876852 \nL 1213.320611 616.385863 \nL 1216.087553 616.851354 \nL 1233.61152 620.229517 \nL 1233.61152 620.229517 \n\" style=\"fill:none;stroke:#c44e52;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_21\">\n    <path d=\"M 700.975156 676.464 \nL 1258.975156 676.464 \n\" style=\"fill:none;stroke:#888888;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.12;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p0df343974e\">\n   <rect height=\"112.468966\" width=\"558\" x=\"31.375156\" y=\"24.144\"/>\n  </clipPath>\n  <clipPath id=\"pe5c1ad0414\">\n   <rect height=\"112.468966\" width=\"558\" x=\"700.975156\" y=\"24.144\"/>\n  </clipPath>\n  <clipPath id=\"p516d22b96b\">\n   <rect height=\"112.468966\" width=\"558\" x=\"31.375156\" y=\"159.106759\"/>\n  </clipPath>\n  <clipPath id=\"p0cc0cf199c\">\n   <rect height=\"112.468966\" width=\"558\" x=\"700.975156\" y=\"159.106759\"/>\n  </clipPath>\n  <clipPath id=\"paf64481253\">\n   <rect height=\"112.468966\" width=\"558\" x=\"31.375156\" y=\"294.069517\"/>\n  </clipPath>\n  <clipPath id=\"p053357dbcd\">\n   <rect height=\"112.468966\" width=\"558\" x=\"700.975156\" y=\"294.069517\"/>\n  </clipPath>\n  <clipPath id=\"pf652d6587e\">\n   <rect height=\"112.468966\" width=\"558\" x=\"31.375156\" y=\"429.032276\"/>\n  </clipPath>\n  <clipPath id=\"p0c18d72e0b\">\n   <rect height=\"112.468966\" width=\"558\" x=\"700.975156\" y=\"429.032276\"/>\n  </clipPath>\n  <clipPath id=\"p60009705b8\">\n   <rect height=\"112.468966\" width=\"558\" x=\"31.375156\" y=\"563.995034\"/>\n  </clipPath>\n  <clipPath id=\"p86825a19d4\">\n   <rect height=\"112.468966\" width=\"558\" x=\"700.975156\" y=\"563.995034\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "#Chose the vibrational node\n",
    "\n",
    "#n=1\n",
    "ut1=fdm(Nx,Nt,lt,tf,kt,xt,t,1)\n",
    "uf1=fdm(Nx,Nt,lf,tf,kf,xf,t,1)\n",
    "#n=2\n",
    "ut2=fdm(Nx,Nt,lt,tf,kt,xt,t,2)\n",
    "uf2=fdm(Nx,Nt,lf,tf,kf,xf,t,2)\n",
    "#n=3\n",
    "ut3=fdm(Nx,Nt,lt,tf,kt,xt,t,3)\n",
    "uf3=fdm(Nx,Nt,lf,tf,kf,xf,t,3)\n",
    "#n=4\n",
    "ut4=fdm(Nx,Nt,lt,tf,kt,xt,t,4)\n",
    "uf4=fdm(Nx,Nt,lf,tf,kf,xf,t,4)\n",
    "#n=5\n",
    "ut5=fdm(Nx,Nt,lt,tf,kt,xt,t,5)\n",
    "uf5=fdm(Nx,Nt,lf,tf,kf,xf,t,5)\n",
    "\n",
    "@njit()\n",
    "def real(Nx,Nt,c,t,x,l):\n",
    "    ureal=np.zeros((Nx,Nt))\n",
    "    for j in range(Nt-1):\n",
    "        for i in range(Nx-1):\n",
    "            ureal[i,j]=np.cos(n*np.pi*c*t[j]/l)*np.sin(n*np.pi*x[i]/l)\n",
    "    return ureal\n",
    "\n",
    "#%time ureal=real(Nx,Nt,ct,t,xt,lt)\n",
    "\n",
    "#Plot the results\n",
    "fig, axs=plt.subplots(5,2,figsize=(22,12),sharex=False, sharey=True)\n",
    "\n",
    "#Plots for ut\n",
    "axs[0,0].set_title('$u_T$ for the Tense part')\n",
    "#Plot for n=1\n",
    "axs[0,0].plot(xt,ut1[:,0],lw=2, label='t=0')\n",
    "axs[0,0].plot(xt,ut1[:,int((Nt-1)/2)],lw=2, label='t=$t_f/2$')\n",
    "axs[0,0].plot(xt,ut1[:,int(Nt-1)],lw=2, label='t=$t_f$')\n",
    "axs[0,0].spines['right'].set_visible(False)\n",
    "axs[0,0].spines['bottom'].set_visible(False)\n",
    "axs[0,0].text(4e-5,0.8,'$n=1$',fontsize=15)\n",
    "axs[0,0].set_xticks([])\n",
    "\n",
    "#Plot for n=2\n",
    "axs[1,0].plot(xt,ut2[:,0],lw=2, label='t=0')\n",
    "axs[1,0].plot(xt,ut2[:,int((Nt-1)/2)],lw=2, label='t=$t_f/2$')\n",
    "axs[1,0].plot(xt,ut2[:,int(Nt-1)],lw=2, label='t=$t_f$')\n",
    "axs[1,0].spines['top'].set_visible(False)\n",
    "axs[1,0].spines['right'].set_visible(False)\n",
    "axs[1,0].spines['bottom'].set_visible(False)\n",
    "axs[1,0].text(4e-5,0.9,'$n=2$',fontsize=15)\n",
    "axs[1,0].set_xticks([])\n",
    "\n",
    "#Plot for n=3\n",
    "axs[2,0].plot(xt,ut3[:,0],lw=2, label='t=0')\n",
    "axs[2,0].plot(xt,ut3[:,int((Nt-1)/2)],lw=2, label='t=$t_f/2$')\n",
    "axs[2,0].plot(xt,ut3[:,int(Nt-1)],lw=2, label='t=$t_f$')\n",
    "axs[2,0].spines['top'].set_visible(False)\n",
    "axs[2,0].spines['right'].set_visible(False)\n",
    "axs[2,0].spines['bottom'].set_visible(False)\n",
    "axs[2,0].text(4e-5,0.9,'$n=3$',fontsize=15)\n",
    "axs[2,0].set_xticks([])\n",
    "\n",
    "#Plot for n=4\n",
    "axs[3,0].plot(xt,ut4[:,0],lw=2, label='t=0')\n",
    "axs[3,0].plot(xt,ut4[:,int((Nt-1)/2)],lw=2, label='t=$t_f/2$')\n",
    "axs[3,0].plot(xt,ut4[:,int(Nt-1)],lw=2, label='t=$t_f$')\n",
    "axs[3,0].spines['top'].set_visible(False)\n",
    "axs[3,0].spines['right'].set_visible(False)\n",
    "axs[3,0].spines['bottom'].set_visible(False)\n",
    "axs[3,0].text(4e-5,0.9,'$n=4$',fontsize=15)\n",
    "axs[3,0].set_xticks([])\n",
    "\n",
    "#Plot for n=5\n",
    "axs[4,0].plot(xt,ut5[:,0],lw=2, label='t=0')\n",
    "axs[4,0].plot(xt,ut5[:,int((Nt-1)/2)],lw=2, label='t=$t_f/2$')\n",
    "axs[4,0].plot(xt,ut5[:,int(Nt-1)],lw=2, label='t=$t_f$')\n",
    "axs[4,0].spines['top'].set_visible(False)\n",
    "axs[4,0].spines['right'].set_visible(False)\n",
    "axs[4,0].text(4e-5,0.9,'$n=5$',fontsize=15)\n",
    "axs[4,0].set_xticks([0,1e-5,2e-5,3e-5,4e-5])\n",
    "axs[4,0].set_xticklabels(['0','$1x10^{-5}$','$2x10^{-5}$','$3x10^{-5}$','$4x10^{-5}$'])\n",
    "axs[4,0].set_xlabel('Distance in meters.')\n",
    "axs[4,0].grid(axis='x')\n",
    "\n",
    "#Plots for uf\n",
    "axs[0,1].set_title('$u_f$ for the flacid part')\n",
    "#Plot for n=1\n",
    "axs[0,1].plot(xf,uf1[:,0],lw=2, label='t=0')\n",
    "axs[0,1].plot(xf,uf1[:,int((Nt-1)/2)],lw=2, label='t=$t_f/2$')\n",
    "axs[0,1].plot(xf,uf1[:,int(Nt-1)],lw=2, label='t=$t_f$')\n",
    "axs[0,1].spines['left'].set_visible(False)\n",
    "axs[0,1].spines['right'].set_visible(False)\n",
    "axs[0,1].spines['bottom'].set_visible(False)\n",
    "axs[0,1].set_xticks([])\n",
    "\n",
    "#Plot for n=2\n",
    "axs[1,1].plot(xf,uf2[:,0],lw=2, label='t=0')\n",
    "axs[1,1].plot(xf,uf2[:,int((Nt-1)/2)],lw=2, label='t=$t_f/2$')\n",
    "axs[1,1].plot(xf,uf2[:,int(Nt-1)],lw=2, label='t=$t_f$')\n",
    "axs[1,1].spines['top'].set_visible(False)\n",
    "axs[1,1].spines['left'].set_visible(False)\n",
    "axs[1,1].spines['right'].set_visible(False)\n",
    "axs[1,1].spines['bottom'].set_visible(False)\n",
    "axs[1,1].set_xticks([])\n",
    "\n",
    "#Plot for n=3\n",
    "axs[2,1].plot(xf,uf3[:,0],lw=2, label='t=0')\n",
    "axs[2,1].plot(xf,uf3[:,int((Nt-1)/2)],lw=2, label='t=$t_f/2$')\n",
    "axs[2,1].plot(xf,uf3[:,int(Nt-1)],lw=2, label='t=$t_f$')\n",
    "axs[2,1].spines['top'].set_visible(False)\n",
    "axs[2,1].spines['left'].set_visible(False)\n",
    "axs[2,1].spines['right'].set_visible(False)\n",
    "axs[2,1].spines['bottom'].set_visible(False)\n",
    "axs[2,1].set_xticks([])\n",
    "\n",
    "#Plot for n=4\n",
    "axs[3,1].plot(xf,uf4[:,0],lw=2, label='t=0')\n",
    "axs[3,1].plot(xf,uf4[:,int((Nt-1)/2)],lw=2, label='t=$t_f/2$')\n",
    "axs[3,1].plot(xf,uf4[:,int(Nt-1)],lw=2, label='t=$t_f$')\n",
    "axs[3,1].spines['top'].set_visible(False)\n",
    "axs[3,1].spines['left'].set_visible(False)\n",
    "axs[3,1].spines['right'].set_visible(False)\n",
    "axs[3,1].spines['bottom'].set_visible(False)\n",
    "axs[3,1].set_xticks([])\n",
    "\n",
    "#Plot for n=5\n",
    "axs[4,1].plot(xf,uf4[:,0],lw=2, label='t=0')\n",
    "axs[4,1].plot(xf,uf4[:,int((Nt-1)/2)],lw=2, label='t=$t_f/2$')\n",
    "axs[4,1].plot(xf,uf4[:,int(Nt-1)],lw=2, label='t=$t_f$')\n",
    "axs[4,1].spines['top'].set_visible(False)\n",
    "axs[4,1].spines['left'].set_visible(False)\n",
    "axs[4,1].spines['right'].set_visible(False)\n",
    "axs[4,1].set_xticks([0,2e-5,4e-5,6e-5,8e-5,1e-4])\n",
    "axs[4,1].set_xticklabels(['0','$2x10^{-5}$','$4x10^{-5}$','$6x10^{-5}$','$8x10^{-5}$','$1x10^{-4}$'])\n",
    "axs[4,1].set_xlabel('Distance in meters.')\n",
    "axs[4,1].grid(axis='x')\n",
    "\n",
    "\n",
    "axs[0,1].legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "CPU times: user 3min 57s, sys: 6.73 s, total: 4min 4s\nWall time: 4min 12s\n"
     ]
    }
   ],
   "source": [
    "from matplotlib import animation,rc\n",
    "rc('animation',html='html5')\n",
    "\n",
    "fig,axs=plt.subplots(5,2,figsize=(22,12),sharex=False, sharey=True)\n",
    "\n",
    "#for uT\n",
    "#n=1\n",
    "line11,=axs[0,0].plot([],[],lw=2,color='red')\n",
    "axs[0,0].spines['right'].set_visible(False)\n",
    "axs[0,0].spines['bottom'].set_visible(False)\n",
    "axs[0,0].text(4e-5,0.8,'$n=1$',fontsize=15)\n",
    "axs[0,0].set_xticks([])\n",
    "axs[0,0].set_xlim(0,4e-5)\n",
    "axs[0,0].set_ylim(-1,1)\n",
    "\n",
    "#n=2\n",
    "line12,=axs[1,0].plot([],[],lw=2,color='teal')\n",
    "axs[1,0].spines['top'].set_visible(False)\n",
    "axs[1,0].spines['right'].set_visible(False)\n",
    "axs[1,0].spines['bottom'].set_visible(False)\n",
    "axs[1,0].text(4e-5,0.9,'$n=2$',fontsize=15)\n",
    "axs[1,0].set_xticks([])\n",
    "axs[1,0].set_xlim(0,4e-5)\n",
    "axs[1,0].set_ylim(-1,1)\n",
    "\n",
    "#n=3\n",
    "line13,=axs[2,0].plot([],[],lw=2,color='green')\n",
    "axs[2,0].spines['top'].set_visible(False)\n",
    "axs[2,0].spines['right'].set_visible(False)\n",
    "axs[2,0].spines['bottom'].set_visible(False)\n",
    "axs[2,0].text(4e-5,0.9,'$n=3$',fontsize=15)\n",
    "axs[2,0].set_xticks([])\n",
    "axs[2,0].set_xlim(0,4e-5)\n",
    "axs[2,0].set_ylim(-1,1)\n",
    "\n",
    "#n=4\n",
    "line14,=axs[3,0].plot([],[],lw=2,color='purple')\n",
    "axs[3,0].spines['top'].set_visible(False)\n",
    "axs[3,0].spines['right'].set_visible(False)\n",
    "axs[3,0].spines['bottom'].set_visible(False)\n",
    "axs[3,0].text(4e-5,0.9,'$n=4$',fontsize=15)\n",
    "axs[3,0].set_xticks([])\n",
    "axs[3,0].set_xlim(0,4e-5)\n",
    "axs[3,0].set_ylim(-1,1)\n",
    "\n",
    "#n=5\n",
    "line15,=axs[4,0].plot([],[],lw=2,color='orange')\n",
    "axs[4,0].spines['top'].set_visible(False)\n",
    "axs[4,0].spines['right'].set_visible(False)\n",
    "axs[4,0].text(4e-5,0.9,'$n=5$',fontsize=15)\n",
    "axs[4,0].set_xticks([0,1e-5,2e-5,3e-5,4e-5])\n",
    "axs[4,0].set_xticklabels(['0','$1x10^{-5}$','$2x10^{-5}$','$3x10^{-5}$','$4x10^{-5}$'])\n",
    "axs[4,0].set_xlabel('Distance in meters.')\n",
    "axs[4,0].grid(axis='x')\n",
    "axs[4,0].set_xlim(0,4e-5)\n",
    "axs[4,0].set_ylim(-1,1)\n",
    "\n",
    "\n",
    "#for uf\n",
    "#n=1\n",
    "line21,=axs[0,1].plot([],[],lw=2,color='red')\n",
    "axs[0,1].spines['left'].set_visible(False)\n",
    "axs[0,1].spines['right'].set_visible(False)\n",
    "axs[0,1].spines['bottom'].set_visible(False)\n",
    "axs[0,1].set_xticks([])\n",
    "axs[0,1].set_xlim(0,1e-4)\n",
    "axs[0,1].set_ylim(-1,1)\n",
    "\n",
    "#n=2\n",
    "line22,=axs[1,1].plot([],[],lw=2,color='teal')\n",
    "axs[1,1].spines['top'].set_visible(False)\n",
    "axs[1,1].spines['left'].set_visible(False)\n",
    "axs[1,1].spines['right'].set_visible(False)\n",
    "axs[1,1].spines['bottom'].set_visible(False)\n",
    "axs[1,1].set_xticks([])\n",
    "axs[1,1].set_xlim(0,1e-4)\n",
    "axs[1,1].set_ylim(-1,1)\n",
    "\n",
    "#n=3\n",
    "line23,=axs[2,1].plot([],[],lw=2,color='green')\n",
    "axs[2,1].spines['top'].set_visible(False)\n",
    "axs[2,1].spines['left'].set_visible(False)\n",
    "axs[2,1].spines['right'].set_visible(False)\n",
    "axs[2,1].spines['bottom'].set_visible(False)\n",
    "axs[2,1].set_xticks([])\n",
    "axs[2,1].set_xlim(0,1e-4)\n",
    "axs[2,1].set_ylim(-1,1)\n",
    "\n",
    "#n=4\n",
    "line24,=axs[3,1].plot([],[],lw=2,color='purple')\n",
    "axs[3,1].spines['top'].set_visible(False)\n",
    "axs[3,1].spines['left'].set_visible(False)\n",
    "axs[3,1].spines['right'].set_visible(False)\n",
    "axs[3,1].spines['bottom'].set_visible(False)\n",
    "axs[3,1].set_xticks([])\n",
    "axs[3,1].set_xlim(0,1e-4)\n",
    "axs[3,1].set_ylim(-1,1)\n",
    "\n",
    "#n=5\n",
    "line25,=axs[4,1].plot([],[],lw=2,color='orange')\n",
    "axs[4,1].spines['top'].set_visible(False)\n",
    "axs[4,1].spines['right'].set_visible(False)\n",
    "axs[4,1].spines['left'].set_visible(False)\n",
    "axs[4,1].set_xticks([0,2e-5,4e-5,6e-5,8e-5,1e-4])\n",
    "axs[4,1].set_xticklabels(['0','$2x10^{-5}$','$4x10^{-5}$','$6x10^{-5}$','$8x10^{-5}$','$1x10^{-4}$'])\n",
    "axs[4,1].set_xlabel('Distance in meters.')\n",
    "axs[4,1].set_xlim(0,1e-4)\n",
    "axs[4,1].set_ylim(-1,1)\n",
    "axs[4,1].grid(axis='x')\n",
    "\n",
    "\n",
    "def init():\n",
    "    line11,=axs[0,0].plot([],[],lw=2,color='red')\n",
    "    line12,=axs[1,0].plot([],[],lw=2,color='teal')\n",
    "    line13,=axs[2,0].plot([],[],lw=2,color='green')\n",
    "    line14,=axs[3,0].plot([],[],lw=2,color='purple')\n",
    "    line15,=axs[4,0].plot([],[],lw=2,color='orange')\n",
    "    line21,=axs[0,1].plot([],[],lw=2,color='red')\n",
    "    line22,=axs[1,1].plot([],[],lw=2,color='teal')\n",
    "    line23,=axs[2,1].plot([],[],lw=2,color='green')\n",
    "    line24,=axs[3,1].plot([],[],lw=2,color='purple')\n",
    "    line25,=axs[4,1].plot([],[],lw=2,color='orange')\n",
    "    \n",
    "    return line11,line12,line13,line14,line15,line21,line22,line23,line24,line25 \n",
    "\n",
    "def animate(i):\n",
    "    global xt, xf, t, ut1, uf1, ut2, uf2, ut3, uf3, ut4, uf4, ut5, uf5\n",
    "    #For ut\n",
    "    line11.set_data(xt,ut1[:,i])\n",
    "    line12.set_data(xt,ut2[:,i])\n",
    "    line13.set_data(xt,ut3[:,i])\n",
    "    line14.set_data(xt,ut4[:,i])\n",
    "    line15.set_data(xt,ut5[:,i])\n",
    "    axs[0,0].set_title('$u_T$ for the tense part at t={0:.2f} nanoseconds'.format(t[i]*1e9))\n",
    "    #For uf\n",
    "    line21.set_data(xf,uf1[:,i])\n",
    "    line22.set_data(xf,uf2[:,i])\n",
    "    line23.set_data(xf,uf3[:,i])\n",
    "    line24.set_data(xf,uf4[:,i])\n",
    "    line25.set_data(xf,uf5[:,i])\n",
    "    axs[0,1].set_title('$u_f$ for the flacid part at t={0:.2f} nanoseconds'.format(t[i]*1e9))\n",
    "    \n",
    "    return line11,line12,line13,line14,line15,line21,line22,line23,line24,line25 \n",
    "\n",
    "anim = animation.FuncAnimation(fig,animate,init_func=init,frames=Nt,interval=200,blit=True)\n",
    "\n",
    "plt.close()\n",
    "%time anim.save('Membrane.mp4',fps=60,extra_args=['-vcodec','libx264'])"
   ]
  }
 ]
}