Example-2.4.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b16ccb14",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from utils import *\n",
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6a06026c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r = k/h**2 = 0.25\n",
      "Number of discretization on x: 11\n",
      "Number of discretization on t: 401\n"
     ]
    }
   ],
   "source": [
    "L = 1\n",
    "T = 1\n",
    "\n",
    "h = .1\n",
    "k = 0.0025\n",
    "\n",
    "r = k / h**2\n",
    "print('r = k/h**2 = %g' % r)\n",
    "\n",
    "Nx = int(np.ceil(L / h)) + 1\n",
    "Nt = int(np.ceil(T / k)) + 1\n",
    "\n",
    "print('Number of discretization on x:', Nx)\n",
    "print('Number of discretization on t:', Nt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3e255551",
   "metadata": {},
   "outputs": [],
   "source": [
    "@np.vectorize\n",
    "def initial(x):\n",
    "    return np.ones_like(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1093e809",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.array([i * h for i in range(Nx)])\n",
    "t = np.array([i * k for i in range(Nt)])\n",
    "\n",
    "u0 = initial(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2e15648b",
   "metadata": {},
   "outputs": [],
   "source": [
    "u = np.zeros((Nt, Nx))\n",
    "u[0, :] = u0\n",
    "\n",
    "# for j in range(Nt - 1):\n",
    "#     u[j + 1, 1] = (1 - 2 * r + r / (1 + h)) * u[j, 1] + r * u[j, 2]\n",
    "#     u[j + 1, 0] = u[j + 1, 1] / (1 + h)\n",
    "    \n",
    "#     u[j + 1, -2] = (1 - 2 * r + r / (1 + h)) * u[j, -2] + r * u[j, -3]\n",
    "#     u[j + 1, -1] = u[j + 1, -2] / (1 + h)\n",
    "        \n",
    "#     for i in range(2, Nx - 2):\n",
    "#         u[j + 1, i] = r * u[j, i - 1] + (1 - 2 * r) * u[j, i] + r * u[j, i + 1]\n",
    "\n",
    "\n",
    "# vectorized form\n",
    "for j in range(Nt - 1):\n",
    "    u[j + 1, 1] = (1 - 2 * r + r / (1 + h)) * u[j, 1] + r * u[j, 2]\n",
    "    u[j + 1, 0] = u[j + 1, 1] / (1 + h)\n",
    "    \n",
    "    u[j + 1, -2] = (1 - 2 * r + r / (1 + h)) * u[j, -2] + r * u[j, -3]\n",
    "    u[j + 1, -1] = u[j + 1, -2] / (1 + h)\n",
    "    \n",
    "    u[j + 1, 2:-2] = r * u[j, 1:-3] + (1 - 2 * r) * u[j, 2:-2] + r * u[j, 3:-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "be837689",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "╒═══════╤════════╤════════╤════════╤════════╤════════╤════════╤════════╤════════╤════════╤════════╤════════╕\n",
      "│   x   │  0.0   │  0.1   │  0.2   │  0.3   │  0.4   │  0.5   │  0.6   │  0.7   │  0.8   │  0.9   │  1.0   │\n",
      "╞═══════╪════════╪════════╪════════╪════════╪════════╪════════╪════════╪════════╪════════╪════════╪════════╡\n",
      "│  j=0  │   1    │   1    │   1    │   1    │   1    │   1    │   1    │   1    │   1    │   1    │   1    │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│  j=1  │ 0.8884 │ 0.9773 │   1    │   1    │   1    │   1    │   1    │   1    │   1    │ 0.9773 │ 0.8884 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│  j=2  │ 0.8734 │ 0.9607 │ 0.9943 │   1    │   1    │   1    │   1    │   1    │ 0.9943 │ 0.9607 │ 0.8734 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│  j=3  │ 0.8612 │ 0.9473 │ 0.9873 │ 0.9986 │   1    │   1    │   1    │ 0.9986 │ 0.9873 │ 0.9473 │ 0.8612 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│  j=4  │ 0.8507 │ 0.9358 │ 0.9801 │ 0.9961 │ 0.9996 │   1    │ 0.9996 │ 0.9961 │ 0.9801 │ 0.9358 │ 0.8507 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│  j=5  │ 0.8415 │ 0.9256 │ 0.973  │ 0.993  │ 0.9989 │ 0.9998 │ 0.9989 │ 0.993  │ 0.973  │ 0.9256 │ 0.8415 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│  j=6  │ 0.8331 │ 0.9164 │ 0.9662 │ 0.9895 │ 0.9976 │ 0.9993 │ 0.9976 │ 0.9895 │ 0.9662 │ 0.9164 │ 0.8331 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│  j=7  │ 0.8255 │ 0.908  │ 0.9596 │ 0.9857 │ 0.996  │ 0.9985 │ 0.996  │ 0.9857 │ 0.9596 │ 0.908  │ 0.8255 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│  j=8  │ 0.8184 │ 0.9003 │ 0.9532 │ 0.9817 │ 0.9941 │ 0.9973 │ 0.9941 │ 0.9817 │ 0.9532 │ 0.9003 │ 0.8184 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│  j=9  │ 0.8119 │ 0.8931 │ 0.9471 │ 0.9777 │ 0.9918 │ 0.9957 │ 0.9918 │ 0.9777 │ 0.9471 │ 0.8931 │ 0.8119 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=10  │ 0.8057 │ 0.8863 │ 0.9412 │ 0.9736 │ 0.9892 │ 0.9937 │ 0.9892 │ 0.9736 │ 0.9412 │ 0.8863 │ 0.8057 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=11  │ 0.7999 │ 0.8799 │ 0.9356 │ 0.9694 │ 0.9864 │ 0.9915 │ 0.9864 │ 0.9694 │ 0.9356 │ 0.8799 │ 0.7999 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=12  │ 0.7944 │ 0.8738 │ 0.9301 │ 0.9652 │ 0.9834 │ 0.989  │ 0.9834 │ 0.9652 │ 0.9301 │ 0.8738 │ 0.7944 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=13  │ 0.7891 │ 0.868  │ 0.9248 │ 0.961  │ 0.9803 │ 0.9862 │ 0.9803 │ 0.961  │ 0.9248 │ 0.868  │ 0.7891 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=14  │ 0.7841 │ 0.8625 │ 0.9197 │ 0.9568 │ 0.9769 │ 0.9832 │ 0.9769 │ 0.9568 │ 0.9197 │ 0.8625 │ 0.7841 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=15  │ 0.7793 │ 0.8572 │ 0.9146 │ 0.9525 │ 0.9735 │ 0.9801 │ 0.9735 │ 0.9525 │ 0.9146 │ 0.8572 │ 0.7793 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=16  │ 0.7746 │ 0.8521 │ 0.9097 │ 0.9483 │ 0.9699 │ 0.9768 │ 0.9699 │ 0.9483 │ 0.9097 │ 0.8521 │ 0.7746 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=17  │ 0.7701 │ 0.8471 │ 0.905  │ 0.9441 │ 0.9662 │ 0.9733 │ 0.9662 │ 0.9441 │ 0.905  │ 0.8471 │ 0.7701 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=18  │ 0.7658 │ 0.8423 │ 0.9003 │ 0.9398 │ 0.9624 │ 0.9698 │ 0.9624 │ 0.9398 │ 0.9003 │ 0.8423 │ 0.7658 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=19  │ 0.7615 │ 0.8377 │ 0.8957 │ 0.9356 │ 0.9586 │ 0.9661 │ 0.9586 │ 0.9356 │ 0.8957 │ 0.8377 │ 0.7615 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=20  │ 0.7574 │ 0.8331 │ 0.8912 │ 0.9314 │ 0.9547 │ 0.9624 │ 0.9547 │ 0.9314 │ 0.8912 │ 0.8331 │ 0.7574 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=21  │ 0.7534 │ 0.8287 │ 0.8867 │ 0.9272 │ 0.9508 │ 0.9585 │ 0.9508 │ 0.9272 │ 0.8867 │ 0.8287 │ 0.7534 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=22  │ 0.7494 │ 0.8244 │ 0.8823 │ 0.923  │ 0.9468 │ 0.9547 │ 0.9468 │ 0.923  │ 0.8823 │ 0.8244 │ 0.7494 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=23  │ 0.7456 │ 0.8201 │ 0.878  │ 0.9188 │ 0.9428 │ 0.9507 │ 0.9428 │ 0.9188 │ 0.878  │ 0.8201 │ 0.7456 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=24  │ 0.7418 │ 0.8159 │ 0.8737 │ 0.9146 │ 0.9388 │ 0.9468 │ 0.9388 │ 0.9146 │ 0.8737 │ 0.8159 │ 0.7418 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=25  │ 0.738  │ 0.8118 │ 0.8695 │ 0.9104 │ 0.9347 │ 0.9428 │ 0.9347 │ 0.9104 │ 0.8695 │ 0.8118 │ 0.738  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=26  │ 0.7344 │ 0.8078 │ 0.8653 │ 0.9063 │ 0.9307 │ 0.9388 │ 0.9307 │ 0.9063 │ 0.8653 │ 0.8078 │ 0.7344 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=27  │ 0.7307 │ 0.8038 │ 0.8612 │ 0.9021 │ 0.9266 │ 0.9347 │ 0.9266 │ 0.9021 │ 0.8612 │ 0.8038 │ 0.7307 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=28  │ 0.7272 │ 0.7999 │ 0.8571 │ 0.898  │ 0.9225 │ 0.9307 │ 0.9225 │ 0.898  │ 0.8571 │ 0.7999 │ 0.7272 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=29  │ 0.7236 │ 0.796  │ 0.853  │ 0.8939 │ 0.9184 │ 0.9266 │ 0.9184 │ 0.8939 │ 0.853  │ 0.796  │ 0.7236 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=30  │ 0.7202 │ 0.7922 │ 0.849  │ 0.8898 │ 0.9143 │ 0.9225 │ 0.9143 │ 0.8898 │ 0.849  │ 0.7922 │ 0.7202 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=31  │ 0.7167 │ 0.7884 │ 0.845  │ 0.8857 │ 0.9102 │ 0.9184 │ 0.9102 │ 0.8857 │ 0.845  │ 0.7884 │ 0.7167 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=32  │ 0.7133 │ 0.7846 │ 0.841  │ 0.8817 │ 0.9062 │ 0.9143 │ 0.9062 │ 0.8817 │ 0.841  │ 0.7846 │ 0.7133 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=33  │ 0.7099 │ 0.7809 │ 0.8371 │ 0.8776 │ 0.9021 │ 0.9102 │ 0.9021 │ 0.8776 │ 0.8371 │ 0.7809 │ 0.7099 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=34  │ 0.7065 │ 0.7772 │ 0.8332 │ 0.8736 │ 0.898  │ 0.9062 │ 0.898  │ 0.8736 │ 0.8332 │ 0.7772 │ 0.7065 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=35  │ 0.7032 │ 0.7735 │ 0.8293 │ 0.8696 │ 0.8939 │ 0.9021 │ 0.8939 │ 0.8696 │ 0.8293 │ 0.7735 │ 0.7032 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=36  │ 0.6999 │ 0.7699 │ 0.8254 │ 0.8656 │ 0.8899 │ 0.898  │ 0.8899 │ 0.8656 │ 0.8254 │ 0.7699 │ 0.6999 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=37  │ 0.6966 │ 0.7663 │ 0.8216 │ 0.8616 │ 0.8858 │ 0.894  │ 0.8858 │ 0.8616 │ 0.8216 │ 0.7663 │ 0.6966 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=38  │ 0.6933 │ 0.7627 │ 0.8178 │ 0.8577 │ 0.8818 │ 0.8899 │ 0.8818 │ 0.8577 │ 0.8178 │ 0.7627 │ 0.6933 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=39  │ 0.6901 │ 0.7591 │ 0.814  │ 0.8537 │ 0.8778 │ 0.8859 │ 0.8778 │ 0.8537 │ 0.814  │ 0.7591 │ 0.6901 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=40  │ 0.6869 │ 0.7556 │ 0.8102 │ 0.8498 │ 0.8738 │ 0.8818 │ 0.8738 │ 0.8498 │ 0.8102 │ 0.7556 │ 0.6869 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=41  │ 0.6837 │ 0.7521 │ 0.8064 │ 0.8459 │ 0.8698 │ 0.8778 │ 0.8698 │ 0.8459 │ 0.8064 │ 0.7521 │ 0.6837 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=42  │ 0.6805 │ 0.7486 │ 0.8027 │ 0.842  │ 0.8658 │ 0.8738 │ 0.8658 │ 0.842  │ 0.8027 │ 0.7486 │ 0.6805 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=43  │ 0.6773 │ 0.7451 │ 0.799  │ 0.8381 │ 0.8619 │ 0.8698 │ 0.8619 │ 0.8381 │ 0.799  │ 0.7451 │ 0.6773 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=44  │ 0.6742 │ 0.7416 │ 0.7953 │ 0.8343 │ 0.8579 │ 0.8658 │ 0.8579 │ 0.8343 │ 0.7953 │ 0.7416 │ 0.6742 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=45  │ 0.6711 │ 0.7382 │ 0.7916 │ 0.8305 │ 0.854  │ 0.8619 │ 0.854  │ 0.8305 │ 0.7916 │ 0.7382 │ 0.6711 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=46  │ 0.668  │ 0.7348 │ 0.788  │ 0.8266 │ 0.8501 │ 0.8579 │ 0.8501 │ 0.8266 │ 0.788  │ 0.7348 │ 0.668  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=47  │ 0.6649 │ 0.7314 │ 0.7843 │ 0.8228 │ 0.8462 │ 0.854  │ 0.8462 │ 0.8228 │ 0.7843 │ 0.7314 │ 0.6649 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=48  │ 0.6618 │ 0.728  │ 0.7807 │ 0.819  │ 0.8423 │ 0.8501 │ 0.8423 │ 0.819  │ 0.7807 │ 0.728  │ 0.6618 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=49  │ 0.6588 │ 0.7246 │ 0.7771 │ 0.8153 │ 0.8384 │ 0.8462 │ 0.8384 │ 0.8153 │ 0.7771 │ 0.7246 │ 0.6588 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=50  │ 0.6557 │ 0.7213 │ 0.7735 │ 0.8115 │ 0.8346 │ 0.8423 │ 0.8346 │ 0.8115 │ 0.7735 │ 0.7213 │ 0.6557 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=51  │ 0.6527 │ 0.718  │  0.77  │ 0.8078 │ 0.8308 │ 0.8385 │ 0.8308 │ 0.8078 │  0.77  │ 0.718  │ 0.6527 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=52  │ 0.6497 │ 0.7146 │ 0.7664 │ 0.8041 │ 0.8269 │ 0.8346 │ 0.8269 │ 0.8041 │ 0.7664 │ 0.7146 │ 0.6497 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=53  │ 0.6467 │ 0.7113 │ 0.7629 │ 0.8004 │ 0.8231 │ 0.8308 │ 0.8231 │ 0.8004 │ 0.7629 │ 0.7113 │ 0.6467 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=54  │ 0.6437 │ 0.7081 │ 0.7594 │ 0.7967 │ 0.8194 │ 0.827  │ 0.8194 │ 0.7967 │ 0.7594 │ 0.7081 │ 0.6437 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=55  │ 0.6407 │ 0.7048 │ 0.7559 │ 0.793  │ 0.8156 │ 0.8232 │ 0.8156 │ 0.793  │ 0.7559 │ 0.7048 │ 0.6407 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=56  │ 0.6378 │ 0.7016 │ 0.7524 │ 0.7894 │ 0.8118 │ 0.8194 │ 0.8118 │ 0.7894 │ 0.7524 │ 0.7016 │ 0.6378 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=57  │ 0.6348 │ 0.6983 │ 0.7489 │ 0.7858 │ 0.8081 │ 0.8156 │ 0.8081 │ 0.7858 │ 0.7489 │ 0.6983 │ 0.6348 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=58  │ 0.6319 │ 0.6951 │ 0.7455 │ 0.7821 │ 0.8044 │ 0.8119 │ 0.8044 │ 0.7821 │ 0.7455 │ 0.6951 │ 0.6319 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=59  │ 0.629  │ 0.6919 │ 0.7421 │ 0.7785 │ 0.8007 │ 0.8081 │ 0.8007 │ 0.7785 │ 0.7421 │ 0.6919 │ 0.629  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=60  │ 0.6261 │ 0.6887 │ 0.7386 │ 0.775  │ 0.797  │ 0.8044 │ 0.797  │ 0.775  │ 0.7386 │ 0.6887 │ 0.6261 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=61  │ 0.6232 │ 0.6855 │ 0.7352 │ 0.7714 │ 0.7934 │ 0.8007 │ 0.7934 │ 0.7714 │ 0.7352 │ 0.6855 │ 0.6232 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=62  │ 0.6204 │ 0.6824 │ 0.7319 │ 0.7678 │ 0.7897 │ 0.797  │ 0.7897 │ 0.7678 │ 0.7319 │ 0.6824 │ 0.6204 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=63  │ 0.6175 │ 0.6792 │ 0.7285 │ 0.7643 │ 0.7861 │ 0.7934 │ 0.7861 │ 0.7643 │ 0.7285 │ 0.6792 │ 0.6175 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=64  │ 0.6147 │ 0.6761 │ 0.7251 │ 0.7608 │ 0.7825 │ 0.7897 │ 0.7825 │ 0.7608 │ 0.7251 │ 0.6761 │ 0.6147 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=65  │ 0.6118 │ 0.673  │ 0.7218 │ 0.7573 │ 0.7789 │ 0.7861 │ 0.7789 │ 0.7573 │ 0.7218 │ 0.673  │ 0.6118 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=66  │ 0.609  │ 0.6699 │ 0.7185 │ 0.7538 │ 0.7753 │ 0.7825 │ 0.7753 │ 0.7538 │ 0.7185 │ 0.6699 │ 0.609  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=67  │ 0.6062 │ 0.6668 │ 0.7152 │ 0.7503 │ 0.7717 │ 0.7789 │ 0.7717 │ 0.7503 │ 0.7152 │ 0.6668 │ 0.6062 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=68  │ 0.6034 │ 0.6638 │ 0.7119 │ 0.7469 │ 0.7682 │ 0.7753 │ 0.7682 │ 0.7469 │ 0.7119 │ 0.6638 │ 0.6034 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=69  │ 0.6006 │ 0.6607 │ 0.7086 │ 0.7435 │ 0.7646 │ 0.7717 │ 0.7646 │ 0.7435 │ 0.7086 │ 0.6607 │ 0.6006 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=70  │ 0.5979 │ 0.6577 │ 0.7053 │  0.74  │ 0.7611 │ 0.7682 │ 0.7611 │  0.74  │ 0.7053 │ 0.6577 │ 0.5979 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=71  │ 0.5951 │ 0.6546 │ 0.7021 │ 0.7366 │ 0.7576 │ 0.7646 │ 0.7576 │ 0.7366 │ 0.7021 │ 0.6546 │ 0.5951 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=72  │ 0.5924 │ 0.6516 │ 0.6989 │ 0.7332 │ 0.7541 │ 0.7611 │ 0.7541 │ 0.7332 │ 0.6989 │ 0.6516 │ 0.5924 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=73  │ 0.5897 │ 0.6486 │ 0.6956 │ 0.7299 │ 0.7506 │ 0.7576 │ 0.7506 │ 0.7299 │ 0.6956 │ 0.6486 │ 0.5897 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=74  │ 0.5869 │ 0.6456 │ 0.6924 │ 0.7265 │ 0.7472 │ 0.7541 │ 0.7472 │ 0.7265 │ 0.6924 │ 0.6456 │ 0.5869 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=75  │ 0.5842 │ 0.6427 │ 0.6893 │ 0.7232 │ 0.7438 │ 0.7507 │ 0.7438 │ 0.7232 │ 0.6893 │ 0.6427 │ 0.5842 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=76  │ 0.5815 │ 0.6397 │ 0.6861 │ 0.7198 │ 0.7403 │ 0.7472 │ 0.7403 │ 0.7198 │ 0.6861 │ 0.6397 │ 0.5815 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=77  │ 0.5789 │ 0.6368 │ 0.6829 │ 0.7165 │ 0.7369 │ 0.7438 │ 0.7369 │ 0.7165 │ 0.6829 │ 0.6368 │ 0.5789 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=78  │ 0.5762 │ 0.6338 │ 0.6798 │ 0.7132 │ 0.7335 │ 0.7404 │ 0.7335 │ 0.7132 │ 0.6798 │ 0.6338 │ 0.5762 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=79  │ 0.5736 │ 0.6309 │ 0.6767 │ 0.7099 │ 0.7302 │ 0.7369 │ 0.7302 │ 0.7099 │ 0.6767 │ 0.6309 │ 0.5736 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=80  │ 0.5709 │ 0.628  │ 0.6735 │ 0.7067 │ 0.7268 │ 0.7336 │ 0.7268 │ 0.7067 │ 0.6735 │ 0.628  │ 0.5709 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=81  │ 0.5683 │ 0.6251 │ 0.6704 │ 0.7034 │ 0.7235 │ 0.7302 │ 0.7235 │ 0.7034 │ 0.6704 │ 0.6251 │ 0.5683 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=82  │ 0.5657 │ 0.6222 │ 0.6674 │ 0.7002 │ 0.7201 │ 0.7268 │ 0.7201 │ 0.7002 │ 0.6674 │ 0.6222 │ 0.5657 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=83  │ 0.5631 │ 0.6194 │ 0.6643 │ 0.697  │ 0.7168 │ 0.7235 │ 0.7168 │ 0.697  │ 0.6643 │ 0.6194 │ 0.5631 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=84  │ 0.5605 │ 0.6165 │ 0.6612 │ 0.6938 │ 0.7135 │ 0.7201 │ 0.7135 │ 0.6938 │ 0.6612 │ 0.6165 │ 0.5605 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=85  │ 0.5579 │ 0.6137 │ 0.6582 │ 0.6906 │ 0.7102 │ 0.7168 │ 0.7102 │ 0.6906 │ 0.6582 │ 0.6137 │ 0.5579 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=86  │ 0.5553 │ 0.6109 │ 0.6552 │ 0.6874 │ 0.707  │ 0.7135 │ 0.707  │ 0.6874 │ 0.6552 │ 0.6109 │ 0.5553 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=87  │ 0.5528 │ 0.6081 │ 0.6521 │ 0.6842 │ 0.7037 │ 0.7102 │ 0.7037 │ 0.6842 │ 0.6521 │ 0.6081 │ 0.5528 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=88  │ 0.5502 │ 0.6053 │ 0.6491 │ 0.6811 │ 0.7005 │ 0.707  │ 0.7005 │ 0.6811 │ 0.6491 │ 0.6053 │ 0.5502 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=89  │ 0.5477 │ 0.6025 │ 0.6462 │ 0.6779 │ 0.6973 │ 0.7037 │ 0.6973 │ 0.6779 │ 0.6462 │ 0.6025 │ 0.5477 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=90  │ 0.5452 │ 0.5997 │ 0.6432 │ 0.6748 │ 0.694  │ 0.7005 │ 0.694  │ 0.6748 │ 0.6432 │ 0.5997 │ 0.5452 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=91  │ 0.5427 │ 0.5969 │ 0.6402 │ 0.6717 │ 0.6909 │ 0.6973 │ 0.6909 │ 0.6717 │ 0.6402 │ 0.5969 │ 0.5427 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=92  │ 0.5402 │ 0.5942 │ 0.6373 │ 0.6686 │ 0.6877 │ 0.6941 │ 0.6877 │ 0.6686 │ 0.6373 │ 0.5942 │ 0.5402 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=93  │ 0.5377 │ 0.5915 │ 0.6343 │ 0.6656 │ 0.6845 │ 0.6909 │ 0.6845 │ 0.6656 │ 0.6343 │ 0.5915 │ 0.5377 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=94  │ 0.5352 │ 0.5887 │ 0.6314 │ 0.6625 │ 0.6814 │ 0.6877 │ 0.6814 │ 0.6625 │ 0.6314 │ 0.5887 │ 0.5352 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=95  │ 0.5328 │ 0.586  │ 0.6285 │ 0.6594 │ 0.6782 │ 0.6845 │ 0.6782 │ 0.6594 │ 0.6285 │ 0.586  │ 0.5328 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=96  │ 0.5303 │ 0.5833 │ 0.6256 │ 0.6564 │ 0.6751 │ 0.6814 │ 0.6751 │ 0.6564 │ 0.6256 │ 0.5833 │ 0.5303 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=97  │ 0.5279 │ 0.5806 │ 0.6227 │ 0.6534 │ 0.672  │ 0.6782 │ 0.672  │ 0.6534 │ 0.6227 │ 0.5806 │ 0.5279 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=98  │ 0.5254 │ 0.578  │ 0.6199 │ 0.6504 │ 0.6689 │ 0.6751 │ 0.6689 │ 0.6504 │ 0.6199 │ 0.578  │ 0.5254 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=99  │ 0.523  │ 0.5753 │ 0.617  │ 0.6474 │ 0.6658 │ 0.672  │ 0.6658 │ 0.6474 │ 0.617  │ 0.5753 │ 0.523  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=100 │ 0.5206 │ 0.5727 │ 0.6142 │ 0.6444 │ 0.6628 │ 0.6689 │ 0.6628 │ 0.6444 │ 0.6142 │ 0.5727 │ 0.5206 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=101 │ 0.5182 │  0.57  │ 0.6114 │ 0.6414 │ 0.6597 │ 0.6658 │ 0.6597 │ 0.6414 │ 0.6114 │  0.57  │ 0.5182 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=102 │ 0.5158 │ 0.5674 │ 0.6086 │ 0.6385 │ 0.6567 │ 0.6628 │ 0.6567 │ 0.6385 │ 0.6086 │ 0.5674 │ 0.5158 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=103 │ 0.5135 │ 0.5648 │ 0.6058 │ 0.6356 │ 0.6537 │ 0.6597 │ 0.6537 │ 0.6356 │ 0.6058 │ 0.5648 │ 0.5135 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=104 │ 0.5111 │ 0.5622 │ 0.603  │ 0.6326 │ 0.6506 │ 0.6567 │ 0.6506 │ 0.6326 │ 0.603  │ 0.5622 │ 0.5111 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=105 │ 0.5087 │ 0.5596 │ 0.6002 │ 0.6297 │ 0.6477 │ 0.6537 │ 0.6477 │ 0.6297 │ 0.6002 │ 0.5596 │ 0.5087 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=106 │ 0.5064 │ 0.557  │ 0.5974 │ 0.6268 │ 0.6447 │ 0.6507 │ 0.6447 │ 0.6268 │ 0.5974 │ 0.557  │ 0.5064 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=107 │ 0.5041 │ 0.5545 │ 0.5947 │ 0.6239 │ 0.6417 │ 0.6477 │ 0.6417 │ 0.6239 │ 0.5947 │ 0.5545 │ 0.5041 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=108 │ 0.5018 │ 0.5519 │ 0.5919 │ 0.6211 │ 0.6388 │ 0.6447 │ 0.6388 │ 0.6211 │ 0.5919 │ 0.5519 │ 0.5018 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=109 │ 0.4994 │ 0.5494 │ 0.5892 │ 0.6182 │ 0.6358 │ 0.6417 │ 0.6358 │ 0.6182 │ 0.5892 │ 0.5494 │ 0.4994 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=110 │ 0.4971 │ 0.5469 │ 0.5865 │ 0.6154 │ 0.6329 │ 0.6388 │ 0.6329 │ 0.6154 │ 0.5865 │ 0.5469 │ 0.4971 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=111 │ 0.4949 │ 0.5443 │ 0.5838 │ 0.6125 │  0.63  │ 0.6358 │  0.63  │ 0.6125 │ 0.5838 │ 0.5443 │ 0.4949 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=112 │ 0.4926 │ 0.5418 │ 0.5811 │ 0.6097 │ 0.6271 │ 0.6329 │ 0.6271 │ 0.6097 │ 0.5811 │ 0.5418 │ 0.4926 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=113 │ 0.4903 │ 0.5393 │ 0.5784 │ 0.6069 │ 0.6242 │  0.63  │ 0.6242 │ 0.6069 │ 0.5784 │ 0.5393 │ 0.4903 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=114 │ 0.4881 │ 0.5369 │ 0.5758 │ 0.6041 │ 0.6213 │ 0.6271 │ 0.6213 │ 0.6041 │ 0.5758 │ 0.5369 │ 0.4881 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=115 │ 0.4858 │ 0.5344 │ 0.5731 │ 0.6013 │ 0.6185 │ 0.6242 │ 0.6185 │ 0.6013 │ 0.5731 │ 0.5344 │ 0.4858 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=116 │ 0.4836 │ 0.5319 │ 0.5705 │ 0.5986 │ 0.6156 │ 0.6213 │ 0.6156 │ 0.5986 │ 0.5705 │ 0.5319 │ 0.4836 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=117 │ 0.4813 │ 0.5295 │ 0.5679 │ 0.5958 │ 0.6128 │ 0.6185 │ 0.6128 │ 0.5958 │ 0.5679 │ 0.5295 │ 0.4813 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=118 │ 0.4791 │ 0.527  │ 0.5653 │ 0.5931 │  0.61  │ 0.6156 │  0.61  │ 0.5931 │ 0.5653 │ 0.527  │ 0.4791 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=119 │ 0.4769 │ 0.5246 │ 0.5627 │ 0.5903 │ 0.6072 │ 0.6128 │ 0.6072 │ 0.5903 │ 0.5627 │ 0.5246 │ 0.4769 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=120 │ 0.4747 │ 0.5222 │ 0.5601 │ 0.5876 │ 0.6044 │  0.61  │ 0.6044 │ 0.5876 │ 0.5601 │ 0.5222 │ 0.4747 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=121 │ 0.4726 │ 0.5198 │ 0.5575 │ 0.5849 │ 0.6016 │ 0.6072 │ 0.6016 │ 0.5849 │ 0.5575 │ 0.5198 │ 0.4726 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=122 │ 0.4704 │ 0.5174 │ 0.5549 │ 0.5822 │ 0.5988 │ 0.6044 │ 0.5988 │ 0.5822 │ 0.5549 │ 0.5174 │ 0.4704 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=123 │ 0.4682 │ 0.515  │ 0.5524 │ 0.5795 │ 0.5961 │ 0.6016 │ 0.5961 │ 0.5795 │ 0.5524 │ 0.515  │ 0.4682 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=124 │ 0.4661 │ 0.5127 │ 0.5498 │ 0.5769 │ 0.5933 │ 0.5988 │ 0.5933 │ 0.5769 │ 0.5498 │ 0.5127 │ 0.4661 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=125 │ 0.4639 │ 0.5103 │ 0.5473 │ 0.5742 │ 0.5906 │ 0.5961 │ 0.5906 │ 0.5742 │ 0.5473 │ 0.5103 │ 0.4639 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=126 │ 0.4618 │ 0.508  │ 0.5448 │ 0.5716 │ 0.5879 │ 0.5933 │ 0.5879 │ 0.5716 │ 0.5448 │ 0.508  │ 0.4618 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=127 │ 0.4597 │ 0.5056 │ 0.5423 │ 0.569  │ 0.5852 │ 0.5906 │ 0.5852 │ 0.569  │ 0.5423 │ 0.5056 │ 0.4597 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=128 │ 0.4575 │ 0.5033 │ 0.5398 │ 0.5663 │ 0.5825 │ 0.5879 │ 0.5825 │ 0.5663 │ 0.5398 │ 0.5033 │ 0.4575 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=129 │ 0.4554 │ 0.501  │ 0.5373 │ 0.5637 │ 0.5798 │ 0.5852 │ 0.5798 │ 0.5637 │ 0.5373 │ 0.501  │ 0.4554 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=130 │ 0.4533 │ 0.4987 │ 0.5348 │ 0.5611 │ 0.5771 │ 0.5825 │ 0.5771 │ 0.5611 │ 0.5348 │ 0.4987 │ 0.4533 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=131 │ 0.4513 │ 0.4964 │ 0.5324 │ 0.5586 │ 0.5745 │ 0.5798 │ 0.5745 │ 0.5586 │ 0.5324 │ 0.4964 │ 0.4513 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=132 │ 0.4492 │ 0.4941 │ 0.5299 │ 0.556  │ 0.5718 │ 0.5771 │ 0.5718 │ 0.556  │ 0.5299 │ 0.4941 │ 0.4492 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=133 │ 0.4471 │ 0.4918 │ 0.5275 │ 0.5534 │ 0.5692 │ 0.5745 │ 0.5692 │ 0.5534 │ 0.5275 │ 0.4918 │ 0.4471 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=134 │ 0.4451 │ 0.4896 │ 0.5251 │ 0.5509 │ 0.5666 │ 0.5718 │ 0.5666 │ 0.5509 │ 0.5251 │ 0.4896 │ 0.4451 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=135 │ 0.443  │ 0.4873 │ 0.5226 │ 0.5483 │ 0.564  │ 0.5692 │ 0.564  │ 0.5483 │ 0.5226 │ 0.4873 │ 0.443  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=136 │ 0.441  │ 0.4851 │ 0.5202 │ 0.5458 │ 0.5614 │ 0.5666 │ 0.5614 │ 0.5458 │ 0.5202 │ 0.4851 │ 0.441  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=137 │ 0.4389 │ 0.4828 │ 0.5178 │ 0.5433 │ 0.5588 │ 0.564  │ 0.5588 │ 0.5433 │ 0.5178 │ 0.4828 │ 0.4389 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=138 │ 0.4369 │ 0.4806 │ 0.5155 │ 0.5408 │ 0.5562 │ 0.5614 │ 0.5562 │ 0.5408 │ 0.5155 │ 0.4806 │ 0.4369 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=139 │ 0.4349 │ 0.4784 │ 0.5131 │ 0.5383 │ 0.5537 │ 0.5588 │ 0.5537 │ 0.5383 │ 0.5131 │ 0.4784 │ 0.4349 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=140 │ 0.4329 │ 0.4762 │ 0.5107 │ 0.5358 │ 0.5511 │ 0.5562 │ 0.5511 │ 0.5358 │ 0.5107 │ 0.4762 │ 0.4329 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=141 │ 0.4309 │ 0.474  │ 0.5084 │ 0.5334 │ 0.5486 │ 0.5537 │ 0.5486 │ 0.5334 │ 0.5084 │ 0.474  │ 0.4309 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=142 │ 0.4289 │ 0.4718 │ 0.506  │ 0.5309 │ 0.546  │ 0.5511 │ 0.546  │ 0.5309 │ 0.506  │ 0.4718 │ 0.4289 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=143 │ 0.427  │ 0.4697 │ 0.5037 │ 0.5285 │ 0.5435 │ 0.5486 │ 0.5435 │ 0.5285 │ 0.5037 │ 0.4697 │ 0.427  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=144 │ 0.425  │ 0.4675 │ 0.5014 │ 0.5261 │ 0.541  │ 0.5461 │ 0.541  │ 0.5261 │ 0.5014 │ 0.4675 │ 0.425  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=145 │ 0.423  │ 0.4653 │ 0.4991 │ 0.5236 │ 0.5385 │ 0.5435 │ 0.5385 │ 0.5236 │ 0.4991 │ 0.4653 │ 0.423  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=146 │ 0.4211 │ 0.4632 │ 0.4968 │ 0.5212 │ 0.5361 │ 0.541  │ 0.5361 │ 0.5212 │ 0.4968 │ 0.4632 │ 0.4211 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=147 │ 0.4192 │ 0.4611 │ 0.4945 │ 0.5188 │ 0.5336 │ 0.5386 │ 0.5336 │ 0.5188 │ 0.4945 │ 0.4611 │ 0.4192 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=148 │ 0.4172 │ 0.4589 │ 0.4922 │ 0.5164 │ 0.5311 │ 0.5361 │ 0.5311 │ 0.5164 │ 0.4922 │ 0.4589 │ 0.4172 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=149 │ 0.4153 │ 0.4568 │  0.49  │ 0.5141 │ 0.5287 │ 0.5336 │ 0.5287 │ 0.5141 │  0.49  │ 0.4568 │ 0.4153 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=150 │ 0.4134 │ 0.4547 │ 0.4877 │ 0.5117 │ 0.5263 │ 0.5312 │ 0.5263 │ 0.5117 │ 0.4877 │ 0.4547 │ 0.4134 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=151 │ 0.4115 │ 0.4526 │ 0.4855 │ 0.5093 │ 0.5238 │ 0.5287 │ 0.5238 │ 0.5093 │ 0.4855 │ 0.4526 │ 0.4115 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=152 │ 0.4096 │ 0.4506 │ 0.4832 │ 0.507  │ 0.5214 │ 0.5263 │ 0.5214 │ 0.507  │ 0.4832 │ 0.4506 │ 0.4096 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=153 │ 0.4077 │ 0.4485 │ 0.481  │ 0.5047 │ 0.519  │ 0.5239 │ 0.519  │ 0.5047 │ 0.481  │ 0.4485 │ 0.4077 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=154 │ 0.4058 │ 0.4464 │ 0.4788 │ 0.5023 │ 0.5166 │ 0.5214 │ 0.5166 │ 0.5023 │ 0.4788 │ 0.4464 │ 0.4058 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=155 │ 0.404  │ 0.4444 │ 0.4766 │  0.5   │ 0.5143 │ 0.519  │ 0.5143 │  0.5   │ 0.4766 │ 0.4444 │ 0.404  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=156 │ 0.4021 │ 0.4423 │ 0.4744 │ 0.4977 │ 0.5119 │ 0.5167 │ 0.5119 │ 0.4977 │ 0.4744 │ 0.4423 │ 0.4021 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=157 │ 0.4003 │ 0.4403 │ 0.4722 │ 0.4954 │ 0.5095 │ 0.5143 │ 0.5095 │ 0.4954 │ 0.4722 │ 0.4403 │ 0.4003 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=158 │ 0.3984 │ 0.4383 │  0.47  │ 0.4932 │ 0.5072 │ 0.5119 │ 0.5072 │ 0.4932 │  0.47  │ 0.4383 │ 0.3984 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=159 │ 0.3966 │ 0.4362 │ 0.4679 │ 0.4909 │ 0.5049 │ 0.5096 │ 0.5049 │ 0.4909 │ 0.4679 │ 0.4362 │ 0.3966 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=160 │ 0.3948 │ 0.4342 │ 0.4657 │ 0.4886 │ 0.5025 │ 0.5072 │ 0.5025 │ 0.4886 │ 0.4657 │ 0.4342 │ 0.3948 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=161 │ 0.3929 │ 0.4322 │ 0.4636 │ 0.4864 │ 0.5002 │ 0.5049 │ 0.5002 │ 0.4864 │ 0.4636 │ 0.4322 │ 0.3929 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=162 │ 0.3911 │ 0.4302 │ 0.4614 │ 0.4841 │ 0.4979 │ 0.5026 │ 0.4979 │ 0.4841 │ 0.4614 │ 0.4302 │ 0.3911 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=163 │ 0.3893 │ 0.4283 │ 0.4593 │ 0.4819 │ 0.4956 │ 0.5002 │ 0.4956 │ 0.4819 │ 0.4593 │ 0.4283 │ 0.3893 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=164 │ 0.3875 │ 0.4263 │ 0.4572 │ 0.4797 │ 0.4934 │ 0.4979 │ 0.4934 │ 0.4797 │ 0.4572 │ 0.4263 │ 0.3875 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=165 │ 0.3858 │ 0.4243 │ 0.4551 │ 0.4775 │ 0.4911 │ 0.4957 │ 0.4911 │ 0.4775 │ 0.4551 │ 0.4243 │ 0.3858 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=166 │ 0.384  │ 0.4224 │ 0.453  │ 0.4753 │ 0.4888 │ 0.4934 │ 0.4888 │ 0.4753 │ 0.453  │ 0.4224 │ 0.384  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=167 │ 0.3822 │ 0.4204 │ 0.4509 │ 0.4731 │ 0.4866 │ 0.4911 │ 0.4866 │ 0.4731 │ 0.4509 │ 0.4204 │ 0.3822 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=168 │ 0.3805 │ 0.4185 │ 0.4488 │ 0.4709 │ 0.4843 │ 0.4888 │ 0.4843 │ 0.4709 │ 0.4488 │ 0.4185 │ 0.3805 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=169 │ 0.3787 │ 0.4166 │ 0.4468 │ 0.4688 │ 0.4821 │ 0.4866 │ 0.4821 │ 0.4688 │ 0.4468 │ 0.4166 │ 0.3787 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=170 │ 0.377  │ 0.4147 │ 0.4447 │ 0.4666 │ 0.4799 │ 0.4844 │ 0.4799 │ 0.4666 │ 0.4447 │ 0.4147 │ 0.377  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=171 │ 0.3752 │ 0.4128 │ 0.4427 │ 0.4645 │ 0.4777 │ 0.4821 │ 0.4777 │ 0.4645 │ 0.4427 │ 0.4128 │ 0.3752 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=172 │ 0.3735 │ 0.4109 │ 0.4406 │ 0.4623 │ 0.4755 │ 0.4799 │ 0.4755 │ 0.4623 │ 0.4406 │ 0.4109 │ 0.3735 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=173 │ 0.3718 │ 0.409  │ 0.4386 │ 0.4602 │ 0.4733 │ 0.4777 │ 0.4733 │ 0.4602 │ 0.4386 │ 0.409  │ 0.3718 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=174 │ 0.3701 │ 0.4071 │ 0.4366 │ 0.4581 │ 0.4711 │ 0.4755 │ 0.4711 │ 0.4581 │ 0.4366 │ 0.4071 │ 0.3701 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=175 │ 0.3684 │ 0.4052 │ 0.4346 │ 0.456  │ 0.469  │ 0.4733 │ 0.469  │ 0.456  │ 0.4346 │ 0.4052 │ 0.3684 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=176 │ 0.3667 │ 0.4033 │ 0.4326 │ 0.4539 │ 0.4668 │ 0.4711 │ 0.4668 │ 0.4539 │ 0.4326 │ 0.4033 │ 0.3667 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=177 │ 0.365  │ 0.4015 │ 0.4306 │ 0.4518 │ 0.4646 │ 0.469  │ 0.4646 │ 0.4518 │ 0.4306 │ 0.4015 │ 0.365  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=178 │ 0.3633 │ 0.3996 │ 0.4286 │ 0.4497 │ 0.4625 │ 0.4668 │ 0.4625 │ 0.4497 │ 0.4286 │ 0.3996 │ 0.3633 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=179 │ 0.3616 │ 0.3978 │ 0.4266 │ 0.4476 │ 0.4604 │ 0.4647 │ 0.4604 │ 0.4476 │ 0.4266 │ 0.3978 │ 0.3616 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=180 │  0.36  │ 0.396  │ 0.4247 │ 0.4456 │ 0.4583 │ 0.4625 │ 0.4583 │ 0.4456 │ 0.4247 │ 0.396  │  0.36  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=181 │ 0.3583 │ 0.3941 │ 0.4227 │ 0.4435 │ 0.4562 │ 0.4604 │ 0.4562 │ 0.4435 │ 0.4227 │ 0.3941 │ 0.3583 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=182 │ 0.3567 │ 0.3923 │ 0.4208 │ 0.4415 │ 0.4541 │ 0.4583 │ 0.4541 │ 0.4415 │ 0.4208 │ 0.3923 │ 0.3567 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=183 │ 0.355  │ 0.3905 │ 0.4188 │ 0.4395 │ 0.452  │ 0.4562 │ 0.452  │ 0.4395 │ 0.4188 │ 0.3905 │ 0.355  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=184 │ 0.3534 │ 0.3887 │ 0.4169 │ 0.4374 │ 0.4499 │ 0.4541 │ 0.4499 │ 0.4374 │ 0.4169 │ 0.3887 │ 0.3534 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=185 │ 0.3518 │ 0.3869 │ 0.415  │ 0.4354 │ 0.4478 │ 0.452  │ 0.4478 │ 0.4354 │ 0.415  │ 0.3869 │ 0.3518 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=186 │ 0.3501 │ 0.3852 │ 0.4131 │ 0.4334 │ 0.4458 │ 0.4499 │ 0.4458 │ 0.4334 │ 0.4131 │ 0.3852 │ 0.3501 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=187 │ 0.3485 │ 0.3834 │ 0.4112 │ 0.4314 │ 0.4437 │ 0.4478 │ 0.4437 │ 0.4314 │ 0.4112 │ 0.3834 │ 0.3485 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=188 │ 0.3469 │ 0.3816 │ 0.4093 │ 0.4294 │ 0.4417 │ 0.4458 │ 0.4417 │ 0.4294 │ 0.4093 │ 0.3816 │ 0.3469 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=189 │ 0.3453 │ 0.3799 │ 0.4074 │ 0.4275 │ 0.4396 │ 0.4437 │ 0.4396 │ 0.4275 │ 0.4074 │ 0.3799 │ 0.3453 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=190 │ 0.3437 │ 0.3781 │ 0.4055 │ 0.4255 │ 0.4376 │ 0.4417 │ 0.4376 │ 0.4255 │ 0.4055 │ 0.3781 │ 0.3437 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=191 │ 0.3422 │ 0.3764 │ 0.4037 │ 0.4235 │ 0.4356 │ 0.4396 │ 0.4356 │ 0.4235 │ 0.4037 │ 0.3764 │ 0.3422 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=192 │ 0.3406 │ 0.3747 │ 0.4018 │ 0.4216 │ 0.4336 │ 0.4376 │ 0.4336 │ 0.4216 │ 0.4018 │ 0.3747 │ 0.3406 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=193 │ 0.339  │ 0.3729 │  0.4   │ 0.4196 │ 0.4316 │ 0.4356 │ 0.4316 │ 0.4196 │  0.4   │ 0.3729 │ 0.339  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=194 │ 0.3375 │ 0.3712 │ 0.3981 │ 0.4177 │ 0.4296 │ 0.4336 │ 0.4296 │ 0.4177 │ 0.3981 │ 0.3712 │ 0.3375 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=195 │ 0.3359 │ 0.3695 │ 0.3963 │ 0.4158 │ 0.4276 │ 0.4316 │ 0.4276 │ 0.4158 │ 0.3963 │ 0.3695 │ 0.3359 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=196 │ 0.3344 │ 0.3678 │ 0.3945 │ 0.4139 │ 0.4257 │ 0.4296 │ 0.4257 │ 0.4139 │ 0.3945 │ 0.3678 │ 0.3344 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=197 │ 0.3328 │ 0.3661 │ 0.3927 │ 0.412  │ 0.4237 │ 0.4276 │ 0.4237 │ 0.412  │ 0.3927 │ 0.3661 │ 0.3328 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=198 │ 0.3313 │ 0.3644 │ 0.3908 │ 0.4101 │ 0.4218 │ 0.4257 │ 0.4218 │ 0.4101 │ 0.3908 │ 0.3644 │ 0.3313 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=199 │ 0.3298 │ 0.3627 │ 0.389  │ 0.4082 │ 0.4198 │ 0.4237 │ 0.4198 │ 0.4082 │ 0.389  │ 0.3627 │ 0.3298 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=200 │ 0.3283 │ 0.3611 │ 0.3873 │ 0.4063 │ 0.4179 │ 0.4218 │ 0.4179 │ 0.4063 │ 0.3873 │ 0.3611 │ 0.3283 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=201 │ 0.3267 │ 0.3594 │ 0.3855 │ 0.4044 │ 0.416  │ 0.4198 │ 0.416  │ 0.4044 │ 0.3855 │ 0.3594 │ 0.3267 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=202 │ 0.3252 │ 0.3578 │ 0.3837 │ 0.4026 │ 0.414  │ 0.4179 │ 0.414  │ 0.4026 │ 0.3837 │ 0.3578 │ 0.3252 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=203 │ 0.3237 │ 0.3561 │ 0.3819 │ 0.4007 │ 0.4121 │ 0.416  │ 0.4121 │ 0.4007 │ 0.3819 │ 0.3561 │ 0.3237 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=204 │ 0.3223 │ 0.3545 │ 0.3802 │ 0.3989 │ 0.4102 │ 0.4141 │ 0.4102 │ 0.3989 │ 0.3802 │ 0.3545 │ 0.3223 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=205 │ 0.3208 │ 0.3528 │ 0.3784 │ 0.397  │ 0.4084 │ 0.4122 │ 0.4084 │ 0.397  │ 0.3784 │ 0.3528 │ 0.3208 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=206 │ 0.3193 │ 0.3512 │ 0.3767 │ 0.3952 │ 0.4065 │ 0.4103 │ 0.4065 │ 0.3952 │ 0.3767 │ 0.3512 │ 0.3193 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=207 │ 0.3178 │ 0.3496 │ 0.375  │ 0.3934 │ 0.4046 │ 0.4084 │ 0.4046 │ 0.3934 │ 0.375  │ 0.3496 │ 0.3178 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=208 │ 0.3164 │ 0.348  │ 0.3732 │ 0.3916 │ 0.4027 │ 0.4065 │ 0.4027 │ 0.3916 │ 0.3732 │ 0.348  │ 0.3164 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=209 │ 0.3149 │ 0.3464 │ 0.3715 │ 0.3898 │ 0.4009 │ 0.4046 │ 0.4009 │ 0.3898 │ 0.3715 │ 0.3464 │ 0.3149 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=210 │ 0.3135 │ 0.3448 │ 0.3698 │ 0.388  │ 0.399  │ 0.4028 │ 0.399  │ 0.388  │ 0.3698 │ 0.3448 │ 0.3135 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=211 │ 0.312  │ 0.3432 │ 0.3681 │ 0.3862 │ 0.3972 │ 0.4009 │ 0.3972 │ 0.3862 │ 0.3681 │ 0.3432 │ 0.312  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=212 │ 0.3106 │ 0.3416 │ 0.3664 │ 0.3844 │ 0.3954 │ 0.3991 │ 0.3954 │ 0.3844 │ 0.3664 │ 0.3416 │ 0.3106 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=213 │ 0.3092 │ 0.3401 │ 0.3647 │ 0.3827 │ 0.3936 │ 0.3972 │ 0.3936 │ 0.3827 │ 0.3647 │ 0.3401 │ 0.3092 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=214 │ 0.3077 │ 0.3385 │ 0.363  │ 0.3809 │ 0.3918 │ 0.3954 │ 0.3918 │ 0.3809 │ 0.363  │ 0.3385 │ 0.3077 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=215 │ 0.3063 │ 0.3369 │ 0.3614 │ 0.3792 │  0.39  │ 0.3936 │  0.39  │ 0.3792 │ 0.3614 │ 0.3369 │ 0.3063 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=216 │ 0.3049 │ 0.3354 │ 0.3597 │ 0.3774 │ 0.3882 │ 0.3918 │ 0.3882 │ 0.3774 │ 0.3597 │ 0.3354 │ 0.3049 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=217 │ 0.3035 │ 0.3339 │ 0.3581 │ 0.3757 │ 0.3864 │  0.39  │ 0.3864 │ 0.3757 │ 0.3581 │ 0.3339 │ 0.3035 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=218 │ 0.3021 │ 0.3323 │ 0.3564 │ 0.3739 │ 0.3846 │ 0.3882 │ 0.3846 │ 0.3739 │ 0.3564 │ 0.3323 │ 0.3021 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=219 │ 0.3007 │ 0.3308 │ 0.3548 │ 0.3722 │ 0.3828 │ 0.3864 │ 0.3828 │ 0.3722 │ 0.3548 │ 0.3308 │ 0.3007 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=220 │ 0.2993 │ 0.3293 │ 0.3531 │ 0.3705 │ 0.3811 │ 0.3846 │ 0.3811 │ 0.3705 │ 0.3531 │ 0.3293 │ 0.2993 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=221 │ 0.298  │ 0.3277 │ 0.3515 │ 0.3688 │ 0.3793 │ 0.3828 │ 0.3793 │ 0.3688 │ 0.3515 │ 0.3277 │ 0.298  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=222 │ 0.2966 │ 0.3262 │ 0.3499 │ 0.3671 │ 0.3776 │ 0.3811 │ 0.3776 │ 0.3671 │ 0.3499 │ 0.3262 │ 0.2966 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=223 │ 0.2952 │ 0.3247 │ 0.3483 │ 0.3654 │ 0.3758 │ 0.3793 │ 0.3758 │ 0.3654 │ 0.3483 │ 0.3247 │ 0.2952 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=224 │ 0.2939 │ 0.3232 │ 0.3467 │ 0.3637 │ 0.3741 │ 0.3776 │ 0.3741 │ 0.3637 │ 0.3467 │ 0.3232 │ 0.2939 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=225 │ 0.2925 │ 0.3218 │ 0.3451 │ 0.3621 │ 0.3724 │ 0.3758 │ 0.3724 │ 0.3621 │ 0.3451 │ 0.3218 │ 0.2925 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=226 │ 0.2912 │ 0.3203 │ 0.3435 │ 0.3604 │ 0.3707 │ 0.3741 │ 0.3707 │ 0.3604 │ 0.3435 │ 0.3203 │ 0.2912 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=227 │ 0.2898 │ 0.3188 │ 0.3419 │ 0.3587 │ 0.369  │ 0.3724 │ 0.369  │ 0.3587 │ 0.3419 │ 0.3188 │ 0.2898 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=228 │ 0.2885 │ 0.3173 │ 0.3403 │ 0.3571 │ 0.3673 │ 0.3707 │ 0.3673 │ 0.3571 │ 0.3403 │ 0.3173 │ 0.2885 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=229 │ 0.2872 │ 0.3159 │ 0.3388 │ 0.3554 │ 0.3656 │ 0.369  │ 0.3656 │ 0.3554 │ 0.3388 │ 0.3159 │ 0.2872 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=230 │ 0.2858 │ 0.3144 │ 0.3372 │ 0.3538 │ 0.3639 │ 0.3673 │ 0.3639 │ 0.3538 │ 0.3372 │ 0.3144 │ 0.2858 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=231 │ 0.2845 │ 0.313  │ 0.3357 │ 0.3522 │ 0.3622 │ 0.3656 │ 0.3622 │ 0.3522 │ 0.3357 │ 0.313  │ 0.2845 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=232 │ 0.2832 │ 0.3115 │ 0.3341 │ 0.3506 │ 0.3605 │ 0.3639 │ 0.3605 │ 0.3506 │ 0.3341 │ 0.3115 │ 0.2832 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=233 │ 0.2819 │ 0.3101 │ 0.3326 │ 0.3489 │ 0.3589 │ 0.3622 │ 0.3589 │ 0.3489 │ 0.3326 │ 0.3101 │ 0.2819 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=234 │ 0.2806 │ 0.3087 │ 0.3311 │ 0.3473 │ 0.3572 │ 0.3606 │ 0.3572 │ 0.3473 │ 0.3311 │ 0.3087 │ 0.2806 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=235 │ 0.2793 │ 0.3073 │ 0.3295 │ 0.3457 │ 0.3556 │ 0.3589 │ 0.3556 │ 0.3457 │ 0.3295 │ 0.3073 │ 0.2793 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=236 │ 0.278  │ 0.3058 │ 0.328  │ 0.3442 │ 0.354  │ 0.3572 │ 0.354  │ 0.3442 │ 0.328  │ 0.3058 │ 0.278  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=237 │ 0.2768 │ 0.3044 │ 0.3265 │ 0.3426 │ 0.3523 │ 0.3556 │ 0.3523 │ 0.3426 │ 0.3265 │ 0.3044 │ 0.2768 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=238 │ 0.2755 │ 0.303  │ 0.325  │ 0.341  │ 0.3507 │ 0.354  │ 0.3507 │ 0.341  │ 0.325  │ 0.303  │ 0.2755 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=239 │ 0.2742 │ 0.3016 │ 0.3235 │ 0.3394 │ 0.3491 │ 0.3523 │ 0.3491 │ 0.3394 │ 0.3235 │ 0.3016 │ 0.2742 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=240 │ 0.273  │ 0.3003 │ 0.322  │ 0.3379 │ 0.3475 │ 0.3507 │ 0.3475 │ 0.3379 │ 0.322  │ 0.3003 │ 0.273  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=241 │ 0.2717 │ 0.2989 │ 0.3205 │ 0.3363 │ 0.3459 │ 0.3491 │ 0.3459 │ 0.3363 │ 0.3205 │ 0.2989 │ 0.2717 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=242 │ 0.2704 │ 0.2975 │ 0.3191 │ 0.3348 │ 0.3443 │ 0.3475 │ 0.3443 │ 0.3348 │ 0.3191 │ 0.2975 │ 0.2704 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=243 │ 0.2692 │ 0.2961 │ 0.3176 │ 0.3332 │ 0.3427 │ 0.3459 │ 0.3427 │ 0.3332 │ 0.3176 │ 0.2961 │ 0.2692 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=244 │ 0.268  │ 0.2948 │ 0.3161 │ 0.3317 │ 0.3411 │ 0.3443 │ 0.3411 │ 0.3317 │ 0.3161 │ 0.2948 │ 0.268  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=245 │ 0.2667 │ 0.2934 │ 0.3147 │ 0.3302 │ 0.3396 │ 0.3427 │ 0.3396 │ 0.3302 │ 0.3147 │ 0.2934 │ 0.2667 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=246 │ 0.2655 │ 0.2921 │ 0.3132 │ 0.3286 │ 0.338  │ 0.3411 │ 0.338  │ 0.3286 │ 0.3132 │ 0.2921 │ 0.2655 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=247 │ 0.2643 │ 0.2907 │ 0.3118 │ 0.3271 │ 0.3364 │ 0.3396 │ 0.3364 │ 0.3271 │ 0.3118 │ 0.2907 │ 0.2643 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=248 │ 0.2631 │ 0.2894 │ 0.3104 │ 0.3256 │ 0.3349 │ 0.338  │ 0.3349 │ 0.3256 │ 0.3104 │ 0.2894 │ 0.2631 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=249 │ 0.2619 │ 0.288  │ 0.3089 │ 0.3241 │ 0.3334 │ 0.3365 │ 0.3334 │ 0.3241 │ 0.3089 │ 0.288  │ 0.2619 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=250 │ 0.2607 │ 0.2867 │ 0.3075 │ 0.3226 │ 0.3318 │ 0.3349 │ 0.3318 │ 0.3226 │ 0.3075 │ 0.2867 │ 0.2607 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=251 │ 0.2595 │ 0.2854 │ 0.3061 │ 0.3211 │ 0.3303 │ 0.3334 │ 0.3303 │ 0.3211 │ 0.3061 │ 0.2854 │ 0.2595 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=252 │ 0.2583 │ 0.2841 │ 0.3047 │ 0.3197 │ 0.3288 │ 0.3318 │ 0.3288 │ 0.3197 │ 0.3047 │ 0.2841 │ 0.2583 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=253 │ 0.2571 │ 0.2828 │ 0.3033 │ 0.3182 │ 0.3273 │ 0.3303 │ 0.3273 │ 0.3182 │ 0.3033 │ 0.2828 │ 0.2571 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=254 │ 0.2559 │ 0.2815 │ 0.3019 │ 0.3167 │ 0.3258 │ 0.3288 │ 0.3258 │ 0.3167 │ 0.3019 │ 0.2815 │ 0.2559 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=255 │ 0.2547 │ 0.2802 │ 0.3005 │ 0.3153 │ 0.3243 │ 0.3273 │ 0.3243 │ 0.3153 │ 0.3005 │ 0.2802 │ 0.2547 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=256 │ 0.2535 │ 0.2789 │ 0.2991 │ 0.3138 │ 0.3228 │ 0.3258 │ 0.3228 │ 0.3138 │ 0.2991 │ 0.2789 │ 0.2535 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=257 │ 0.2524 │ 0.2776 │ 0.2977 │ 0.3124 │ 0.3213 │ 0.3243 │ 0.3213 │ 0.3124 │ 0.2977 │ 0.2776 │ 0.2524 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=258 │ 0.2512 │ 0.2763 │ 0.2964 │ 0.3109 │ 0.3198 │ 0.3228 │ 0.3198 │ 0.3109 │ 0.2964 │ 0.2763 │ 0.2512 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=259 │ 0.2501 │ 0.2751 │ 0.295  │ 0.3095 │ 0.3183 │ 0.3213 │ 0.3183 │ 0.3095 │ 0.295  │ 0.2751 │ 0.2501 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=260 │ 0.2489 │ 0.2738 │ 0.2936 │ 0.3081 │ 0.3169 │ 0.3198 │ 0.3169 │ 0.3081 │ 0.2936 │ 0.2738 │ 0.2489 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=261 │ 0.2478 │ 0.2725 │ 0.2923 │ 0.3067 │ 0.3154 │ 0.3183 │ 0.3154 │ 0.3067 │ 0.2923 │ 0.2725 │ 0.2478 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=262 │ 0.2466 │ 0.2713 │ 0.2909 │ 0.3053 │ 0.314  │ 0.3169 │ 0.314  │ 0.3053 │ 0.2909 │ 0.2713 │ 0.2466 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=263 │ 0.2455 │  0.27  │ 0.2896 │ 0.3039 │ 0.3125 │ 0.3154 │ 0.3125 │ 0.3039 │ 0.2896 │  0.27  │ 0.2455 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=264 │ 0.2444 │ 0.2688 │ 0.2883 │ 0.3025 │ 0.3111 │ 0.314  │ 0.3111 │ 0.3025 │ 0.2883 │ 0.2688 │ 0.2444 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=265 │ 0.2432 │ 0.2676 │ 0.287  │ 0.3011 │ 0.3096 │ 0.3125 │ 0.3096 │ 0.3011 │ 0.287  │ 0.2676 │ 0.2432 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=266 │ 0.2421 │ 0.2663 │ 0.2856 │ 0.2997 │ 0.3082 │ 0.3111 │ 0.3082 │ 0.2997 │ 0.2856 │ 0.2663 │ 0.2421 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=267 │ 0.241  │ 0.2651 │ 0.2843 │ 0.2983 │ 0.3068 │ 0.3096 │ 0.3068 │ 0.2983 │ 0.2843 │ 0.2651 │ 0.241  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=268 │ 0.2399 │ 0.2639 │ 0.283  │ 0.2969 │ 0.3054 │ 0.3082 │ 0.3054 │ 0.2969 │ 0.283  │ 0.2639 │ 0.2399 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=269 │ 0.2388 │ 0.2627 │ 0.2817 │ 0.2956 │ 0.304  │ 0.3068 │ 0.304  │ 0.2956 │ 0.2817 │ 0.2627 │ 0.2388 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=270 │ 0.2377 │ 0.2615 │ 0.2804 │ 0.2942 │ 0.3026 │ 0.3054 │ 0.3026 │ 0.2942 │ 0.2804 │ 0.2615 │ 0.2377 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=271 │ 0.2366 │ 0.2602 │ 0.2791 │ 0.2928 │ 0.3012 │ 0.304  │ 0.3012 │ 0.2928 │ 0.2791 │ 0.2602 │ 0.2366 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=272 │ 0.2355 │ 0.2591 │ 0.2778 │ 0.2915 │ 0.2998 │ 0.3026 │ 0.2998 │ 0.2915 │ 0.2778 │ 0.2591 │ 0.2355 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=273 │ 0.2344 │ 0.2579 │ 0.2766 │ 0.2902 │ 0.2984 │ 0.3012 │ 0.2984 │ 0.2902 │ 0.2766 │ 0.2579 │ 0.2344 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=274 │ 0.2333 │ 0.2567 │ 0.2753 │ 0.2888 │ 0.2971 │ 0.2998 │ 0.2971 │ 0.2888 │ 0.2753 │ 0.2567 │ 0.2333 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=275 │ 0.2323 │ 0.2555 │ 0.274  │ 0.2875 │ 0.2957 │ 0.2984 │ 0.2957 │ 0.2875 │ 0.274  │ 0.2555 │ 0.2323 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=276 │ 0.2312 │ 0.2543 │ 0.2728 │ 0.2862 │ 0.2943 │ 0.2971 │ 0.2943 │ 0.2862 │ 0.2728 │ 0.2543 │ 0.2312 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=277 │ 0.2301 │ 0.2531 │ 0.2715 │ 0.2849 │ 0.293  │ 0.2957 │ 0.293  │ 0.2849 │ 0.2715 │ 0.2531 │ 0.2301 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=278 │ 0.2291 │ 0.252  │ 0.2703 │ 0.2835 │ 0.2916 │ 0.2943 │ 0.2916 │ 0.2835 │ 0.2703 │ 0.252  │ 0.2291 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=279 │ 0.228  │ 0.2508 │ 0.269  │ 0.2822 │ 0.2903 │ 0.293  │ 0.2903 │ 0.2822 │ 0.269  │ 0.2508 │ 0.228  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=280 │ 0.227  │ 0.2497 │ 0.2678 │ 0.2809 │ 0.2889 │ 0.2916 │ 0.2889 │ 0.2809 │ 0.2678 │ 0.2497 │ 0.227  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=281 │ 0.2259 │ 0.2485 │ 0.2665 │ 0.2796 │ 0.2876 │ 0.2903 │ 0.2876 │ 0.2796 │ 0.2665 │ 0.2485 │ 0.2259 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=282 │ 0.2249 │ 0.2474 │ 0.2653 │ 0.2784 │ 0.2863 │ 0.289  │ 0.2863 │ 0.2784 │ 0.2653 │ 0.2474 │ 0.2249 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=283 │ 0.2239 │ 0.2462 │ 0.2641 │ 0.2771 │ 0.285  │ 0.2876 │ 0.285  │ 0.2771 │ 0.2641 │ 0.2462 │ 0.2239 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=284 │ 0.2228 │ 0.2451 │ 0.2629 │ 0.2758 │ 0.2837 │ 0.2863 │ 0.2837 │ 0.2758 │ 0.2629 │ 0.2451 │ 0.2228 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=285 │ 0.2218 │ 0.244  │ 0.2617 │ 0.2745 │ 0.2824 │ 0.285  │ 0.2824 │ 0.2745 │ 0.2617 │ 0.244  │ 0.2218 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=286 │ 0.2208 │ 0.2429 │ 0.2605 │ 0.2733 │ 0.2811 │ 0.2837 │ 0.2811 │ 0.2733 │ 0.2605 │ 0.2429 │ 0.2208 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=287 │ 0.2198 │ 0.2417 │ 0.2593 │ 0.272  │ 0.2798 │ 0.2824 │ 0.2798 │ 0.272  │ 0.2593 │ 0.2417 │ 0.2198 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=288 │ 0.2187 │ 0.2406 │ 0.2581 │ 0.2708 │ 0.2785 │ 0.2811 │ 0.2785 │ 0.2708 │ 0.2581 │ 0.2406 │ 0.2187 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=289 │ 0.2177 │ 0.2395 │ 0.2569 │ 0.2695 │ 0.2772 │ 0.2798 │ 0.2772 │ 0.2695 │ 0.2569 │ 0.2395 │ 0.2177 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=290 │ 0.2167 │ 0.2384 │ 0.2557 │ 0.2683 │ 0.2759 │ 0.2785 │ 0.2759 │ 0.2683 │ 0.2557 │ 0.2384 │ 0.2167 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=291 │ 0.2157 │ 0.2373 │ 0.2545 │ 0.267  │ 0.2747 │ 0.2772 │ 0.2747 │ 0.267  │ 0.2545 │ 0.2373 │ 0.2157 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=292 │ 0.2148 │ 0.2362 │ 0.2534 │ 0.2658 │ 0.2734 │ 0.2759 │ 0.2734 │ 0.2658 │ 0.2534 │ 0.2362 │ 0.2148 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=293 │ 0.2138 │ 0.2351 │ 0.2522 │ 0.2646 │ 0.2721 │ 0.2747 │ 0.2721 │ 0.2646 │ 0.2522 │ 0.2351 │ 0.2138 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=294 │ 0.2128 │ 0.2341 │ 0.251  │ 0.2634 │ 0.2709 │ 0.2734 │ 0.2709 │ 0.2634 │ 0.251  │ 0.2341 │ 0.2128 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=295 │ 0.2118 │ 0.233  │ 0.2499 │ 0.2622 │ 0.2696 │ 0.2721 │ 0.2696 │ 0.2622 │ 0.2499 │ 0.233  │ 0.2118 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=296 │ 0.2108 │ 0.2319 │ 0.2487 │ 0.261  │ 0.2684 │ 0.2709 │ 0.2684 │ 0.261  │ 0.2487 │ 0.2319 │ 0.2108 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=297 │ 0.2099 │ 0.2308 │ 0.2476 │ 0.2598 │ 0.2672 │ 0.2696 │ 0.2672 │ 0.2598 │ 0.2476 │ 0.2308 │ 0.2099 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=298 │ 0.2089 │ 0.2298 │ 0.2464 │ 0.2586 │ 0.2659 │ 0.2684 │ 0.2659 │ 0.2586 │ 0.2464 │ 0.2298 │ 0.2089 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=299 │ 0.2079 │ 0.2287 │ 0.2453 │ 0.2574 │ 0.2647 │ 0.2672 │ 0.2647 │ 0.2574 │ 0.2453 │ 0.2287 │ 0.2079 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=300 │ 0.207  │ 0.2277 │ 0.2442 │ 0.2562 │ 0.2635 │ 0.2659 │ 0.2635 │ 0.2562 │ 0.2442 │ 0.2277 │ 0.207  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=301 │ 0.206  │ 0.2266 │ 0.2431 │ 0.255  │ 0.2623 │ 0.2647 │ 0.2623 │ 0.255  │ 0.2431 │ 0.2266 │ 0.206  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=302 │ 0.2051 │ 0.2256 │ 0.2419 │ 0.2538 │ 0.2611 │ 0.2635 │ 0.2611 │ 0.2538 │ 0.2419 │ 0.2256 │ 0.2051 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=303 │ 0.2041 │ 0.2245 │ 0.2408 │ 0.2527 │ 0.2599 │ 0.2623 │ 0.2599 │ 0.2527 │ 0.2408 │ 0.2245 │ 0.2041 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=304 │ 0.2032 │ 0.2235 │ 0.2397 │ 0.2515 │ 0.2587 │ 0.2611 │ 0.2587 │ 0.2515 │ 0.2397 │ 0.2235 │ 0.2032 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=305 │ 0.2023 │ 0.2225 │ 0.2386 │ 0.2503 │ 0.2575 │ 0.2599 │ 0.2575 │ 0.2503 │ 0.2386 │ 0.2225 │ 0.2023 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=306 │ 0.2013 │ 0.2215 │ 0.2375 │ 0.2492 │ 0.2563 │ 0.2587 │ 0.2563 │ 0.2492 │ 0.2375 │ 0.2215 │ 0.2013 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=307 │ 0.2004 │ 0.2204 │ 0.2364 │ 0.248  │ 0.2551 │ 0.2575 │ 0.2551 │ 0.248  │ 0.2364 │ 0.2204 │ 0.2004 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=308 │ 0.1995 │ 0.2194 │ 0.2353 │ 0.2469 │ 0.2539 │ 0.2563 │ 0.2539 │ 0.2469 │ 0.2353 │ 0.2194 │ 0.1995 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=309 │ 0.1986 │ 0.2184 │ 0.2342 │ 0.2458 │ 0.2528 │ 0.2551 │ 0.2528 │ 0.2458 │ 0.2342 │ 0.2184 │ 0.1986 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=310 │ 0.1976 │ 0.2174 │ 0.2332 │ 0.2446 │ 0.2516 │ 0.2539 │ 0.2516 │ 0.2446 │ 0.2332 │ 0.2174 │ 0.1976 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=311 │ 0.1967 │ 0.2164 │ 0.2321 │ 0.2435 │ 0.2505 │ 0.2528 │ 0.2505 │ 0.2435 │ 0.2321 │ 0.2164 │ 0.1967 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=312 │ 0.1958 │ 0.2154 │ 0.231  │ 0.2424 │ 0.2493 │ 0.2516 │ 0.2493 │ 0.2424 │ 0.231  │ 0.2154 │ 0.1958 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=313 │ 0.1949 │ 0.2144 │  0.23  │ 0.2413 │ 0.2482 │ 0.2505 │ 0.2482 │ 0.2413 │  0.23  │ 0.2144 │ 0.1949 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=314 │ 0.194  │ 0.2134 │ 0.2289 │ 0.2402 │ 0.247  │ 0.2493 │ 0.247  │ 0.2402 │ 0.2289 │ 0.2134 │ 0.194  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=315 │ 0.1931 │ 0.2125 │ 0.2279 │ 0.2391 │ 0.2459 │ 0.2482 │ 0.2459 │ 0.2391 │ 0.2279 │ 0.2125 │ 0.1931 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=316 │ 0.1922 │ 0.2115 │ 0.2268 │ 0.238  │ 0.2447 │ 0.247  │ 0.2447 │ 0.238  │ 0.2268 │ 0.2115 │ 0.1922 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=317 │ 0.1914 │ 0.2105 │ 0.2258 │ 0.2369 │ 0.2436 │ 0.2459 │ 0.2436 │ 0.2369 │ 0.2258 │ 0.2105 │ 0.1914 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=318 │ 0.1905 │ 0.2095 │ 0.2247 │ 0.2358 │ 0.2425 │ 0.2447 │ 0.2425 │ 0.2358 │ 0.2247 │ 0.2095 │ 0.1905 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=319 │ 0.1896 │ 0.2086 │ 0.2237 │ 0.2347 │ 0.2414 │ 0.2436 │ 0.2414 │ 0.2347 │ 0.2237 │ 0.2086 │ 0.1896 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=320 │ 0.1887 │ 0.2076 │ 0.2227 │ 0.2336 │ 0.2403 │ 0.2425 │ 0.2403 │ 0.2336 │ 0.2227 │ 0.2076 │ 0.1887 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=321 │ 0.1879 │ 0.2067 │ 0.2216 │ 0.2325 │ 0.2392 │ 0.2414 │ 0.2392 │ 0.2325 │ 0.2216 │ 0.2067 │ 0.1879 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=322 │ 0.187  │ 0.2057 │ 0.2206 │ 0.2315 │ 0.2381 │ 0.2403 │ 0.2381 │ 0.2315 │ 0.2206 │ 0.2057 │ 0.187  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=323 │ 0.1861 │ 0.2048 │ 0.2196 │ 0.2304 │ 0.237  │ 0.2392 │ 0.237  │ 0.2304 │ 0.2196 │ 0.2048 │ 0.1861 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=324 │ 0.1853 │ 0.2038 │ 0.2186 │ 0.2293 │ 0.2359 │ 0.2381 │ 0.2359 │ 0.2293 │ 0.2186 │ 0.2038 │ 0.1853 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=325 │ 0.1844 │ 0.2029 │ 0.2176 │ 0.2283 │ 0.2348 │ 0.237  │ 0.2348 │ 0.2283 │ 0.2176 │ 0.2029 │ 0.1844 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=326 │ 0.1836 │ 0.2019 │ 0.2166 │ 0.2272 │ 0.2337 │ 0.2359 │ 0.2337 │ 0.2272 │ 0.2166 │ 0.2019 │ 0.1836 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=327 │ 0.1827 │ 0.201  │ 0.2156 │ 0.2262 │ 0.2326 │ 0.2348 │ 0.2326 │ 0.2262 │ 0.2156 │ 0.201  │ 0.1827 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=328 │ 0.1819 │ 0.2001 │ 0.2146 │ 0.2252 │ 0.2316 │ 0.2337 │ 0.2316 │ 0.2252 │ 0.2146 │ 0.2001 │ 0.1819 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=329 │ 0.1811 │ 0.1992 │ 0.2136 │ 0.2241 │ 0.2305 │ 0.2326 │ 0.2305 │ 0.2241 │ 0.2136 │ 0.1992 │ 0.1811 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=330 │ 0.1802 │ 0.1982 │ 0.2126 │ 0.2231 │ 0.2294 │ 0.2316 │ 0.2294 │ 0.2231 │ 0.2126 │ 0.1982 │ 0.1802 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=331 │ 0.1794 │ 0.1973 │ 0.2116 │ 0.2221 │ 0.2284 │ 0.2305 │ 0.2284 │ 0.2221 │ 0.2116 │ 0.1973 │ 0.1794 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=332 │ 0.1786 │ 0.1964 │ 0.2107 │ 0.221  │ 0.2273 │ 0.2294 │ 0.2273 │ 0.221  │ 0.2107 │ 0.1964 │ 0.1786 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=333 │ 0.1778 │ 0.1955 │ 0.2097 │  0.22  │ 0.2263 │ 0.2284 │ 0.2263 │  0.22  │ 0.2097 │ 0.1955 │ 0.1778 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=334 │ 0.1769 │ 0.1946 │ 0.2087 │ 0.219  │ 0.2252 │ 0.2273 │ 0.2252 │ 0.219  │ 0.2087 │ 0.1946 │ 0.1769 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=335 │ 0.1761 │ 0.1937 │ 0.2078 │ 0.218  │ 0.2242 │ 0.2263 │ 0.2242 │ 0.218  │ 0.2078 │ 0.1937 │ 0.1761 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=336 │ 0.1753 │ 0.1928 │ 0.2068 │ 0.217  │ 0.2232 │ 0.2252 │ 0.2232 │ 0.217  │ 0.2068 │ 0.1928 │ 0.1753 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=337 │ 0.1745 │ 0.192  │ 0.2059 │ 0.216  │ 0.2221 │ 0.2242 │ 0.2221 │ 0.216  │ 0.2059 │ 0.192  │ 0.1745 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=338 │ 0.1737 │ 0.1911 │ 0.2049 │ 0.215  │ 0.2211 │ 0.2232 │ 0.2211 │ 0.215  │ 0.2049 │ 0.1911 │ 0.1737 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=339 │ 0.1729 │ 0.1902 │ 0.204  │ 0.214  │ 0.2201 │ 0.2222 │ 0.2201 │ 0.214  │ 0.204  │ 0.1902 │ 0.1729 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=340 │ 0.1721 │ 0.1893 │ 0.203  │ 0.213  │ 0.2191 │ 0.2211 │ 0.2191 │ 0.213  │ 0.203  │ 0.1893 │ 0.1721 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=341 │ 0.1713 │ 0.1884 │ 0.2021 │ 0.212  │ 0.2181 │ 0.2201 │ 0.2181 │ 0.212  │ 0.2021 │ 0.1884 │ 0.1713 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=342 │ 0.1705 │ 0.1876 │ 0.2012 │ 0.2111 │ 0.2171 │ 0.2191 │ 0.2171 │ 0.2111 │ 0.2012 │ 0.1876 │ 0.1705 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=343 │ 0.1697 │ 0.1867 │ 0.2002 │ 0.2101 │ 0.2161 │ 0.2181 │ 0.2161 │ 0.2101 │ 0.2002 │ 0.1867 │ 0.1697 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=344 │ 0.169  │ 0.1859 │ 0.1993 │ 0.2091 │ 0.2151 │ 0.2171 │ 0.2151 │ 0.2091 │ 0.1993 │ 0.1859 │ 0.169  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=345 │ 0.1682 │ 0.185  │ 0.1984 │ 0.2082 │ 0.2141 │ 0.2161 │ 0.2141 │ 0.2082 │ 0.1984 │ 0.185  │ 0.1682 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=346 │ 0.1674 │ 0.1841 │ 0.1975 │ 0.2072 │ 0.2131 │ 0.2151 │ 0.2131 │ 0.2072 │ 0.1975 │ 0.1841 │ 0.1674 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=347 │ 0.1666 │ 0.1833 │ 0.1966 │ 0.2063 │ 0.2121 │ 0.2141 │ 0.2121 │ 0.2063 │ 0.1966 │ 0.1833 │ 0.1666 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=348 │ 0.1659 │ 0.1825 │ 0.1957 │ 0.2053 │ 0.2112 │ 0.2131 │ 0.2112 │ 0.2053 │ 0.1957 │ 0.1825 │ 0.1659 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=349 │ 0.1651 │ 0.1816 │ 0.1948 │ 0.2044 │ 0.2102 │ 0.2121 │ 0.2102 │ 0.2044 │ 0.1948 │ 0.1816 │ 0.1651 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=350 │ 0.1643 │ 0.1808 │ 0.1939 │ 0.2034 │ 0.2092 │ 0.2112 │ 0.2092 │ 0.2034 │ 0.1939 │ 0.1808 │ 0.1643 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=351 │ 0.1636 │ 0.1799 │ 0.193  │ 0.2025 │ 0.2083 │ 0.2102 │ 0.2083 │ 0.2025 │ 0.193  │ 0.1799 │ 0.1636 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=352 │ 0.1628 │ 0.1791 │ 0.1921 │ 0.2016 │ 0.2073 │ 0.2092 │ 0.2073 │ 0.2016 │ 0.1921 │ 0.1791 │ 0.1628 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=353 │ 0.1621 │ 0.1783 │ 0.1912 │ 0.2006 │ 0.2063 │ 0.2083 │ 0.2063 │ 0.2006 │ 0.1912 │ 0.1783 │ 0.1621 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=354 │ 0.1613 │ 0.1775 │ 0.1903 │ 0.1997 │ 0.2054 │ 0.2073 │ 0.2054 │ 0.1997 │ 0.1903 │ 0.1775 │ 0.1613 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=355 │ 0.1606 │ 0.1767 │ 0.1895 │ 0.1988 │ 0.2045 │ 0.2064 │ 0.2045 │ 0.1988 │ 0.1895 │ 0.1767 │ 0.1606 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=356 │ 0.1599 │ 0.1758 │ 0.1886 │ 0.1979 │ 0.2035 │ 0.2054 │ 0.2035 │ 0.1979 │ 0.1886 │ 0.1758 │ 0.1599 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=357 │ 0.1591 │ 0.175  │ 0.1877 │ 0.197  │ 0.2026 │ 0.2045 │ 0.2026 │ 0.197  │ 0.1877 │ 0.175  │ 0.1591 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=358 │ 0.1584 │ 0.1742 │ 0.1869 │ 0.1961 │ 0.2016 │ 0.2035 │ 0.2016 │ 0.1961 │ 0.1869 │ 0.1742 │ 0.1584 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=359 │ 0.1577 │ 0.1734 │ 0.186  │ 0.1952 │ 0.2007 │ 0.2026 │ 0.2007 │ 0.1952 │ 0.186  │ 0.1734 │ 0.1577 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=360 │ 0.1569 │ 0.1726 │ 0.1851 │ 0.1943 │ 0.1998 │ 0.2016 │ 0.1998 │ 0.1943 │ 0.1851 │ 0.1726 │ 0.1569 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=361 │ 0.1562 │ 0.1718 │ 0.1843 │ 0.1934 │ 0.1989 │ 0.2007 │ 0.1989 │ 0.1934 │ 0.1843 │ 0.1718 │ 0.1562 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=362 │ 0.1555 │ 0.171  │ 0.1834 │ 0.1925 │ 0.198  │ 0.1998 │ 0.198  │ 0.1925 │ 0.1834 │ 0.171  │ 0.1555 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=363 │ 0.1548 │ 0.1703 │ 0.1826 │ 0.1916 │ 0.197  │ 0.1989 │ 0.197  │ 0.1916 │ 0.1826 │ 0.1703 │ 0.1548 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=364 │ 0.1541 │ 0.1695 │ 0.1818 │ 0.1907 │ 0.1961 │ 0.198  │ 0.1961 │ 0.1907 │ 0.1818 │ 0.1695 │ 0.1541 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=365 │ 0.1534 │ 0.1687 │ 0.1809 │ 0.1898 │ 0.1952 │ 0.197  │ 0.1952 │ 0.1898 │ 0.1809 │ 0.1687 │ 0.1534 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=366 │ 0.1527 │ 0.1679 │ 0.1801 │ 0.189  │ 0.1943 │ 0.1961 │ 0.1943 │ 0.189  │ 0.1801 │ 0.1679 │ 0.1527 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=367 │ 0.152  │ 0.1671 │ 0.1793 │ 0.1881 │ 0.1934 │ 0.1952 │ 0.1934 │ 0.1881 │ 0.1793 │ 0.1671 │ 0.152  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=368 │ 0.1513 │ 0.1664 │ 0.1784 │ 0.1872 │ 0.1926 │ 0.1943 │ 0.1926 │ 0.1872 │ 0.1784 │ 0.1664 │ 0.1513 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=369 │ 0.1506 │ 0.1656 │ 0.1776 │ 0.1864 │ 0.1917 │ 0.1934 │ 0.1917 │ 0.1864 │ 0.1776 │ 0.1656 │ 0.1506 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=370 │ 0.1499 │ 0.1649 │ 0.1768 │ 0.1855 │ 0.1908 │ 0.1926 │ 0.1908 │ 0.1855 │ 0.1768 │ 0.1649 │ 0.1499 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=371 │ 0.1492 │ 0.1641 │ 0.176  │ 0.1846 │ 0.1899 │ 0.1917 │ 0.1899 │ 0.1846 │ 0.176  │ 0.1641 │ 0.1492 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=372 │ 0.1485 │ 0.1633 │ 0.1752 │ 0.1838 │ 0.189  │ 0.1908 │ 0.189  │ 0.1838 │ 0.1752 │ 0.1633 │ 0.1485 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=373 │ 0.1478 │ 0.1626 │ 0.1744 │ 0.183  │ 0.1882 │ 0.1899 │ 0.1882 │ 0.183  │ 0.1744 │ 0.1626 │ 0.1478 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=374 │ 0.1471 │ 0.1618 │ 0.1736 │ 0.1821 │ 0.1873 │ 0.189  │ 0.1873 │ 0.1821 │ 0.1736 │ 0.1618 │ 0.1471 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=375 │ 0.1464 │ 0.1611 │ 0.1728 │ 0.1813 │ 0.1864 │ 0.1882 │ 0.1864 │ 0.1813 │ 0.1728 │ 0.1611 │ 0.1464 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=376 │ 0.1458 │ 0.1604 │ 0.172  │ 0.1804 │ 0.1856 │ 0.1873 │ 0.1856 │ 0.1804 │ 0.172  │ 0.1604 │ 0.1458 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=377 │ 0.1451 │ 0.1596 │ 0.1712 │ 0.1796 │ 0.1847 │ 0.1864 │ 0.1847 │ 0.1796 │ 0.1712 │ 0.1596 │ 0.1451 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=378 │ 0.1444 │ 0.1589 │ 0.1704 │ 0.1788 │ 0.1839 │ 0.1856 │ 0.1839 │ 0.1788 │ 0.1704 │ 0.1589 │ 0.1444 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=379 │ 0.1438 │ 0.1581 │ 0.1696 │ 0.178  │ 0.183  │ 0.1847 │ 0.183  │ 0.178  │ 0.1696 │ 0.1581 │ 0.1438 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=380 │ 0.1431 │ 0.1574 │ 0.1688 │ 0.1771 │ 0.1822 │ 0.1839 │ 0.1822 │ 0.1771 │ 0.1688 │ 0.1574 │ 0.1431 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=381 │ 0.1425 │ 0.1567 │ 0.1681 │ 0.1763 │ 0.1813 │ 0.183  │ 0.1813 │ 0.1763 │ 0.1681 │ 0.1567 │ 0.1425 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=382 │ 0.1418 │ 0.156  │ 0.1673 │ 0.1755 │ 0.1805 │ 0.1822 │ 0.1805 │ 0.1755 │ 0.1673 │ 0.156  │ 0.1418 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=383 │ 0.1411 │ 0.1553 │ 0.1665 │ 0.1747 │ 0.1797 │ 0.1814 │ 0.1797 │ 0.1747 │ 0.1665 │ 0.1553 │ 0.1411 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=384 │ 0.1405 │ 0.1545 │ 0.1657 │ 0.1739 │ 0.1789 │ 0.1805 │ 0.1789 │ 0.1739 │ 0.1657 │ 0.1545 │ 0.1405 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=385 │ 0.1398 │ 0.1538 │ 0.165  │ 0.1731 │ 0.178  │ 0.1797 │ 0.178  │ 0.1731 │ 0.165  │ 0.1538 │ 0.1398 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=386 │ 0.1392 │ 0.1531 │ 0.1642 │ 0.1723 │ 0.1772 │ 0.1789 │ 0.1772 │ 0.1723 │ 0.1642 │ 0.1531 │ 0.1392 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=387 │ 0.1386 │ 0.1524 │ 0.1635 │ 0.1715 │ 0.1764 │ 0.178  │ 0.1764 │ 0.1715 │ 0.1635 │ 0.1524 │ 0.1386 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=388 │ 0.1379 │ 0.1517 │ 0.1627 │ 0.1707 │ 0.1756 │ 0.1772 │ 0.1756 │ 0.1707 │ 0.1627 │ 0.1517 │ 0.1379 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=389 │ 0.1373 │ 0.151  │ 0.162  │ 0.1699 │ 0.1748 │ 0.1764 │ 0.1748 │ 0.1699 │ 0.162  │ 0.151  │ 0.1373 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=390 │ 0.1367 │ 0.1503 │ 0.1612 │ 0.1692 │ 0.174  │ 0.1756 │ 0.174  │ 0.1692 │ 0.1612 │ 0.1503 │ 0.1367 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=391 │ 0.136  │ 0.1496 │ 0.1605 │ 0.1684 │ 0.1732 │ 0.1748 │ 0.1732 │ 0.1684 │ 0.1605 │ 0.1496 │ 0.136  │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=392 │ 0.1354 │ 0.1489 │ 0.1597 │ 0.1676 │ 0.1724 │ 0.174  │ 0.1724 │ 0.1676 │ 0.1597 │ 0.1489 │ 0.1354 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=393 │ 0.1348 │ 0.1483 │ 0.159  │ 0.1668 │ 0.1716 │ 0.1732 │ 0.1716 │ 0.1668 │ 0.159  │ 0.1483 │ 0.1348 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=394 │ 0.1342 │ 0.1476 │ 0.1583 │ 0.1661 │ 0.1708 │ 0.1724 │ 0.1708 │ 0.1661 │ 0.1583 │ 0.1476 │ 0.1342 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=395 │ 0.1335 │ 0.1469 │ 0.1575 │ 0.1653 │  0.17  │ 0.1716 │  0.17  │ 0.1653 │ 0.1575 │ 0.1469 │ 0.1335 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=396 │ 0.1329 │ 0.1462 │ 0.1568 │ 0.1645 │ 0.1692 │ 0.1708 │ 0.1692 │ 0.1645 │ 0.1568 │ 0.1462 │ 0.1329 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=397 │ 0.1323 │ 0.1455 │ 0.1561 │ 0.1638 │ 0.1684 │  0.17  │ 0.1684 │ 0.1638 │ 0.1561 │ 0.1455 │ 0.1323 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=398 │ 0.1317 │ 0.1449 │ 0.1554 │ 0.163  │ 0.1677 │ 0.1692 │ 0.1677 │ 0.163  │ 0.1554 │ 0.1449 │ 0.1317 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=399 │ 0.1311 │ 0.1442 │ 0.1547 │ 0.1623 │ 0.1669 │ 0.1685 │ 0.1669 │ 0.1623 │ 0.1547 │ 0.1442 │ 0.1311 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│ j=400 │ 0.1305 │ 0.1435 │ 0.154  │ 0.1615 │ 0.1661 │ 0.1677 │ 0.1661 │ 0.1615 │ 0.154  │ 0.1435 │ 0.1305 │\n",
      "├───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┤\n",
      "│   x   │   0    │  0.1   │  0.2   │  0.3   │  0.4   │  0.5   │  0.6   │  0.7   │  0.8   │  0.9   │   1    │\n",
      "╘═══════╧════════╧════════╧════════╧════════╧════════╧════════╧════════╧════════╧════════╧════════╧════════╛\n"
     ]
    }
   ],
   "source": [
    "print_table(u, x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "66ec12c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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gAABAkUE9G8DYCh4AhTiU0yAAAECBIoI6N8GwFDwBCjEp5gAAQIECBQR0L8NgKHgCVCITzEBAgQIECgioH8bAEPBE6AQn2ICBAgQIFBEQP82AIaCJ0AhPsUECBAgQKCIgP5tAAwFT4BCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPRvA2AoeAIU4lNMgAABAgSKCOjfBsBQ8AQoxKeYAAECBAgUEdC/DYCh4AlQiE8xAQIECBAoIqB/GwBDwROgEJ9iAgQIECBQRED/rrMBcNGiRWnevHlp48aNacyYMemmm25K48ePbzdcCxYsSF/84hfTM888k/bbb7/00Y9+NM2ZMyfttttuNQVSgGpiciMCBAgQINCnBPTvOhoA77zzznTWWWelxYsXp2OOOSbl4e6uu+5Ka9euTcOGDWsVvNtvvz1NmTIlfeUrX0nHHXdc+vnPf57OPvvsdNppp6X58+fXFFQBqonJjQgQIECAQJ8S0L/raADMQ9+4cePSzTffXIVs+/btaeTIkWnatGlpxowZrYI3derU9D//8z/p29/+dvPPLrvssrR69er0yCOP1BRUAaqJyY0IECBAgECfEtC/62QA3LZtWxoyZEhavnx5mjRpUnPIJk+enDZt2pRWrFjR5hbA888/Pz3wwAPVbuInn3wynXLKKenjH/94uvLKK2sKqgDVxORGBAgQIECgTwno33UyAG7YsCGNGDEirVq1Kk2YMKE5ZNOnT08rV66stuq1tSxcuDBdfvnlaceOHen1119P5557bnVMYHvL1q1bU/5qWnKA8lbGzZs3p6FDh/apcHsyBAgQIECAQNsCTQPg+vXr39S/Bw8enPJXIywDduTpp58vXRkAH3rooep4v2uuuaY6ZnDdunXpoosuSp/85CfT1Vdf3abIrFmz0uzZs1v9zADYzwPk6RMgQIBAQwk0DYA7v+iZM2em3OsbYamLAbAru4D/7M/+LB177LHVWcNNy9e//vX0qU99Kr3yyitp4MCBrda/LYCN8CvhNRIgQIBAvQvYAlgnu4BzUPNWvHwsX770S17ySSCjRo1K+WSPtk4COeqoo9Jf/MVfpLlz5zbn/Bvf+EY655xz0pYtW9KgQYM6zL9jCDokcgMCBAgQINDnBPTvOhoA82Vg8kkfS5YsqQbBfBmYZcuWpTVr1qThw4dXl4jJxwnm6/zlJW/izZd7+dKXvtS8C/i8885LeTDM91XLIkC1KLkNAQIECBDoWwL6dx0NgDla+RIwTReCHjt2bMoneeQtg3mZOHFiGj16dFq6dGn1//mkj2uvvTZ97WtfS88991zaf//90wc/+MHqe3vttVdNSRWgmpjciAABAgQI9CkB/bvOBsDeTpcA9ba4xyNAgAABAnEB/dsAGEqRAIX4FBMgQIAAgSIC+rcBMBQ8AQrxKSZAgAABAkUE9G8DYCh4AhTiU0yAAAECBIoI6N8GwFDwBCjEp5gAAQIECBQR0L8NgKHgCVCITzEBAgQIECgioH8bAEPBE6AQn2ICBAgQIFBEQP82AIaCJ0AhPsUECBAgQKCIgP5tAAwFT4BCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPRvA2AoeAIU4lNMgAABAgSKCOjfBsBQ8AQoxKeYAAECBAgUEdC/DYCh4AlQiE8xAQIECBAoIqB/GwBDwROgEJ9iAgQIECBQRED/NgCGgidAIT7FBAgQIECgiID+bQAMBU+AQnyKCRAgQIBAEQH92wAYCp4AhfgUEyBAgACBIgL6twEwFDwBCvEpJkCAAAECRQT0bwNgKHgCFOJTTIAAAQIEigjo3wbAUPAEKMSnmAABAgQIFBHQvw2AoeAJUIhPMQECBAgQKCKgfxsAQ8EToBCfYgIECBAgUERA/zYAhoInQCE+xQQIECBAoIiA/m0ADAVPgEJ8igkQIECAQBEB/dsAGAqeAIX4FBMgQIAAgSIC+rcBMBQ8AQrxKSZAgAABAkUE9G8DYCh4AhTiU0yAAAECBIoI6N8GwFDwBCjEp5gAAQIECBQR0L8NgKHgCVCITzEBAgQIECgioH8bAEPBE6AQn2ICBAgQIFBEQP82AIaCJ0AhPsUECBAgQKCIgP5tAAwFT4BCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPRvA2AoeAIU4lNMgAABAgSKCOjfBsBQ8AQoxKeYAAECBAgUEdC/DYCh4AlQiE8xAQIECBAoIqB/GwBDwROgEJ9iAgQIECBQRED/NgCGgidAIT7FBAgQIECgiID+bQAMBU+AQnyKCRAgQIBAEQH92wAYCp4AhfgUEyBAgACBIgL6twEwFDwBCvEpJkCAAAECRQT0bwNgKHgCFOJTTIAAAQIEigjo3wbAUPAEKMSnmAABAgQIFBHQvw2AoeAJUIhPMQECBAgQKCKgfxsAQ8EToBCfYgIECBAgUERA/zYAhoInQCE+xQQIECBAoIiA/m0ADAVPgEJ8igkQIECAQBEB/dsAGAqeAIX4FBMgQIAAgSIC+rcBMBQ8AQrxKSZAgAABAkUE9G8DYCh4AhTiU0yAAAECBIoI6N8GwFDwBCjEp5gAAQIECBQR0L8NgKHgCVCITzEBAgQIECgioH8bAEPBE6AQn2ICBAgQIFBEQP82AIaCJ0AhPsUECBAgQKCIgP5tAAwFT4BCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPRvA2AoeAIU4lNMgAABAgSKCOjfBsBQ8AQoxKeYAAECBAgUEdC/DYCh4AlQiE8xAQIECBAoIqB/GwBDwROgEJ9iAgQIECBQRED/NgCGgidAIT7FBAgQIECgiID+XWcD4KJFi9K8efPSxo0b05gxY9JNN92Uxo8f3264Nm3alP7pn/4p3X333emll15KBx54YFqwYEE6+eSTawqkANXE5EYECBAgQKBPCejfdTQA3nnnnemss85KixcvTsccc0w1yN11111p7dq1adiwYa2Ct23btnT88cdXP7vyyivTiBEj0tNPP5322muvanisZRGgWpTchgABAgQI9C0B/buOBsA89I0bNy7dfPPNVcq2b9+eRo4cmaZNm5ZmzJjRKnl5UMxbC9esWZN22WWXLiVTgLrEpogAAQIECBQV0L/rZADMW/OGDBmSli9fniZNmtQcqsmTJ6e8m3fFihWtgpZ38+6zzz5VXf75/vvvn84444x0xRVXpEGDBrUZzK1bt6b81bTkAOUhc/PmzWno0KFFw+zBCRAgQIAAgdoEmgbA9evXv6l/Dx48OOWvRlgG7NixY0d/f6EbNmyoduGuWrUqTZgwofnlTJ8+Pa1cuTKtXr261Us85JBD0lNPPZXOPPPMdP7556d169ZV/73wwgvTzJkz2ySZNWtWmj17dqufGQD7e4I8fwIECBBoJIGmAXDn15z7f+71jbA07AB48MEHp9deey398pe/bN7iN3/+/Gq38PPPP28LYCOk32skQIAAgYYUsAWwgXcBv//976+O/XvwwQebw3///fdXZwDn3by77rprh78UjiHokMgNCBAgQIBAnxPQv+tkAMzJyieB5Eu+5Eu/5CWfBDJq1Kg0derUNk8CyWf+3n777enJJ59MAwcOrGpuvPHGNHfu3JR3KdeyCFAtSm5DgAABAgT6loD+XUcDYL4MTD7pY8mSJdUgmC8Ds2zZsuos3+HDh1eXiMnHCc6ZM6dKYT7w89BDD61q8pnCv/jFL9KUKVOqYwDztQFrWQSoFiW3IUCAAAECfUtA/66jATBHK18CpulC0GPHjk0LFy6stgzmZeLEiWn06NFp6dKlzSl89NFH0yWXXJIee+yxajg855xz3vIs4J3jK0B96xfasyFAgAABArUI6N91NgDWstK78zYC1J2a7osAAQIECPSOgP5tAAwlTYBCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPRvA2AoeAIU4lNMgAABAgSKCOjfBsBQ8AQoxKeYAAECBAgUEdC/DYCh4AlQiE8xAQIECBAoIqB/GwBDwROgEJ9iAgQIECBQRED/NgCGgidAIT7FBAgQIECgiID+bQAMBU+AQnyKCRAgQIBAEQH92wAYCp4AhfgUEyBAgACBIgL6twEwFDwBCvEpJkCAAAECRQT0bwNgKHgCFOJTTIAAAQIEigjo3wbAUPAEKMSnmAABAgQIFBHQvw2AoeAJUIhPMQECBAgQKCKgfxsAQ8EToBCfYgIECBAgUERA/zYAhoInQCE+xQQIECBAoIiA/m0ADAVPgEJ8igkQIECAQBEB/dsAGAqeAIX4FBMgQIAAgSIC+rcBMBQ8AQrxKSZAgAABAkUE9G8DYCh4AhTiU0yAAAECBIoI6N8GwFDwBCjEp5gAAQIECBQR0L8NgKHgCVCITzEBAgQIECgioH8bAEPBE6AQn2ICBAgQIFBEQP82AIaCJ0AhPsUECBAgQKCIgP5tAAwFT4BCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPRvA2AoeAIU4lNMgAABAgSKCOjfBsBQ8AQoxKeYAAECBAgUEdC/DYCh4AlQiE8xAQIECBAoIqB/GwBDwROgEJ9iAgQIECBQRED/NgCGgidAIT7FBAgQIECgiID+bQAMBU+AQnyKCRAgQIBAEQH92wAYCp4AhfgUEyBAgACBIgL6twEwFDwBCvEpJkCAAAECRQT0bwNgKHgCFOJTTIAAAQIEigjo3wbAUPAEKMSnmAABAgQIFBHQvw2AoeAJUIhPMQECBAgQKCKgfxsAQ8EToBCfYgIECBAgUERA/zYAhoInQCE+xQQIECBAoIiA/m0ADAVPgEJ8igkQIECAQBEB/dsAGAqeAIX4FBMgQIAAgSIC+rcBMBQ8AQrxKSZAgAABAkUE9G8DYCh4AhTiU0yAAAECBIoI6N8GwFDwBCjEp5gAAQIECBQR0L8NgKHgCVCITzEBAgQIECgioH8bAEPBE6AQn2ICBAgQIFBEQP82AIaCJ0AhPsUECBAgQKCIgP5tAAwFT4BCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPRvA2AoeAIU4lNMgAABAgSKCOjfBsBQ8AQoxKeYAAECBAgUEdC/DYCh4AlQiE8xAQIECBAoIqB/GwBDwROgEJ9iAgQIECBQRED/NgCGgidAIT7FBAgQIECgiID+bQAMBU+AQnyKCRAgQIBAEQH92wAYCp4AhfgUEyBAgACBIgL6twEwFDwBCvEpJkCAAAECRQT0bwNgKHgCFOJTTIAAAQIEigjo3wbAUPAEKMSnmAABAgQIFBHQvw2AoeAJUIhPMQECBAgQKCKgfxsAQ8EToBCfYgIECBAgUERA/66zAXDRokVp3rx5aePGjWnMmDHppptuSuPHj+8wXHfccUc6/fTT09/+7d+me++9t8PbN91AgGqmckMCBAgQINBnBPTvOhoA77zzznTWWWelxYsXp2OOOSYtWLAg3XXXXWnt2rVp2LBh7YbuqaeeSu973/vSu971rrTPPvsYAPvMr6cnQoAAAQIEekbAAFhHA2Ae+saNG5duvvnmKi3bt29PI0eOTNOmTUszZsxoM0FvvPFGOuGEE9KUKVPSww8/nDZt2mQA7JnfNfdKgAABAgT6jIABsE4GwG3btqUhQ4ak5cuXp0mTJjUHbPLkydVQt2LFijZDN3PmzPT444+ne+65J5199tkdDoBbt25N+avlLuA8ZG7evDkNHTq0zwTbEyFAgAABAgTaF2gaANevX/+m/j148OCUvxphGbBjx44d/f2FbtiwIY0YMSKtWrUqTZgwofnlTJ8+Pa1cuTKtXr261Ut85JFH0mmnnZYee+yxtN9++9WqHOEjAAAdeUlEQVQ0AM6aNSvNnj271X0ZAPt7gjx/AgQIEGgkgaYBcOfXnDcM5V7fCEtDDoBbtmxJhx9+eLrlllvSX//1X1fr2RbARoi710iAAAECBFKyBbBBdwHnrX5HHHFEGjRoUPPvQT5mMC8DBw6sThx597vf3eHviGMIOiRyAwIECBAg0OcE9O86GQBzsvJJIPmSL/nSL3nJA92oUaPS1KlTW50E8tprr6V169a9KZBXXXVVylsGb7zxxnTwwQenXXfdtcPAClCHRG5AgAABAgT6nID+XUcDYL4MTD7pY8mSJdUgmC8Ds2zZsrRmzZo0fPjw6hIx+TjBOXPmtBnEWnYB71woQH3ud9oTIkCAAAECHQro33U0AOa1nS8B03Qh6LFjx6aFCxdWWwbzMnHixDR69Oi0dOlSA2CHvxpuQIAAAQIE6lfAAFhnA2BvR1WAelvc4xEgQIAAgbiA/m0ADKVIgEJ8igkQIECAQBEB/dsAGAqeAIX4FBMgQIAAgSIC+rcBMBQ8AQrxKSZAgAABAkUE9G8DYCh4AhTiU0yAAAECBIoI6N8GwFDwBCjEp5gAAQIECBQR0L8NgKHgCVCITzEBAgQIECgioH8bAEPBE6AQn2ICBAgQIFBEQP82AIaCJ0AhPsUECBAgQKCIgP5tAAwFT4BCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPRvA2AoeAIU4lNMgAABAgSKCOjfBsBQ8AQoxKeYAAECBAgUEdC/DYCh4AlQiE8xAQIECBAoIqB/GwBDwROgEJ9iAgQIECBQRED/NgCGgidAIT7FBAgQIECgiID+bQAMBU+AQnyKCRAgQIBAEQH92wAYCp4AhfgUEyBAgACBIgL6twEwFDwBCvEpJkCAAAECRQT0bwNgKHgCFOJTTIAAAQIEigjo3wbAUPAEKMSnmAABAgQIFBHQvw2AoeAJUIhPMQECBAgQKCKgfxsAQ8EToBCfYgIECBAgUERA/zYAhoInQCE+xQQIECBAoIiA/m0ADAVPgEJ8igkQIECAQBEB/dsAGAqeAIX4FBMgQIAAgSIC+rcBMBQ8AQrxKSZAgAABAkUE9G8DYCh4AhTiU0yAAAECBIoI6N8GwFDwBCjEp5gAAQIECBQR0L8NgKHgCVCITzEBAgQIECgioH8bAEPBE6AQn2ICBAgQIFBEQP82AIaCJ0AhPsUECBAgQKCIgP5tAAwFT4BCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPRvA2AoeAIU4lNMgAABAgSKCOjfBsBQ8AQoxKeYAAECBAgUEdC/DYCh4AlQiE8xAQIECBAoIqB/GwBDwROgEJ9iAgQIECBQRED/NgCGgidAIT7FBAgQIECgiID+bQAMBU+AQnyKCRAgQIBAEQH92wAYCp4AhfgUEyBAgACBIgL6twEwFDwBCvEpJkCAAAECRQT0bwNgKHgCFOJTTIAAAQIEigjo3wbAUPAEKMSnmAABAgQIFBHQvw2AoeAJUIhPMQECBAgQKCKgfxsAQ8EToBCfYgIECBAgUERA/zYAhoInQCE+xQQIECBAoIiA/m0ADAVPgEJ8igkQIECAQBEB/dsAGAqeAIX4FBMgQIAAgSIC+rcBMBQ8AQrxKSZAgAABAkUE9G8DYCh4AhTiU0yAAAECBIoI6N8GwFDwBCjEp5gAAQIECBQR0L8NgKHgCVCITzEBAgQIECgioH8bAEPBE6AQn2ICBAgQIFBEQP82AIaCJ0AhPsUECBAgQKCIgP5tAAwFT4BCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPRvA2AoeAIU4lNMgAABAgSKCOjfBsBQ8AQoxKeYAAECBAgUEdC/DYCh4AlQiE8xAQIECBAoIqB/GwBDwROgEJ9iAgQIECBQRED/rrMBcNGiRWnevHlp48aNacyYMemmm25K48ePbzNct956a7rtttvSE088Uf38qKOOStddd127t2/rTgSoyO+tByVAgAABAiEB/buOBsA777wznXXWWWnx4sXpmGOOSQsWLEh33XVXWrt2bRo2bFiroJx55pnp+OOPT8cdd1zabbfd0ty5c9M999yTfvrTn6YRI0bUFCwBqonJjQgQIECAQJ8S0L/raADMQ9+4cePSzTffXIVs+/btaeTIkWnatGlpxowZHQbvjTfeSHvvvXdVnwfJWhYBqkXJbQgQIECAQN8S0L/rZADctm1bGjJkSFq+fHmaNGlSc8omT56cNm3alFasWNFh8rZs2VJtKcxbDU899dQ2b79169aUv5qWHKA8ZG7evDkNHTq0w8dwAwIECBAgQKC8QNMAuH79+jf178GDB6f81QjLgB07duzo7y90w4YN1W7bVatWpQkTJjS/nOnTp6eVK1em1atXd/gSzz///PTv//7v1S7gvEu4rWXWrFlp9uzZrX5kAOyQ1w0IECBAgECfEWgaAHd+QjNnzky51zfCYgBMKV1//fXphhtuSA899FA6/PDD213vtgA2wq+E10iAAAEC9S5gC6BdwOlzn/tcuuaaa9KDDz6Yjj766E5l3jEEneJyYwIECBAg0CcE9O86GQBzmvJJIPmSL/nSL3nJJ4GMGjUqTZ06td2TQPJWv2uvvbba9Xvsscd2OpQC1GkyBQQIECBAoLiA/l1HA2C+DEw+6WPJkiXVIJgvA7Ns2bK0Zs2aNHz48OrM3nyc4Jw5c6rg5cu+fPazn0233357dTmYpuWP//iPU/6qZRGgWpTchgABAgQI9C0B/buOBsAcrXwJl6YLQY8dOzYtXLiw2jKYl4kTJ6bRo0enpUuXVv+f//3000+3SmRnDgAVoL71C+3ZECBAgACBWgT07zobAGtZ6d15GwHqTk33RYAAAQIEekdA/zYAhpImQCE+xQQIECBAoIiA/m0ADAVPgEJ8igkQIECAQBEB/dsAGAqeAIX4FBMgQIAAgSIC+rcBMBQ8AQrxKSZAgAABAkUE9G8DYCh4AhTiU1yHAvn6m7///e+rr1dffbX6avp3/szuN954o/p6/fXXm//d2f+P1Hb2sfIqGjRoUPX1R3/0R83/7un/jzzWrrvuWn02+u677179t+nf+f8HDhxYh6nzkgh0XkD/NgB2PjUtKgQoxKe4lwTyx33/4Q9/aDWQtRzO2vt3W4PcW9Xlj0u09F2B/DnnTYPhzgNiy2Fx53935ra5dpdddkkDBgzouxCeWcML6N8GwNAvgQCF+BS3I/Daa6+lTZs2tfm1efPm6vuvvPJKm1vZ2hvO8pa53l4GDx78pq1P+f97amtaT2yRy/eZl6atlt2x9bKtLZCd3SrZ0e3zEN5yK2yJoTxvaWxrK2R7Q2a++P5ee+2V9txzz+q/bX3l4dVCoLsE9G8DYChLAhTiq8vivLUtN9+WA1zT0NbeUNf0/abb9WTDbmrM0S08HW0Rys26aYCqyxXdj15UHhjzm4patvhGb9OTbzTyG4imwfCtBsX2bpMza6tkPwpuDz9V/dsAGIqYAIX4+mRxHuB+97vfpc4ObS2Hu7y7NbrkRtVek8vfz1tM3mqXXXtbX+yai64Z9e0JtDzUoLOHDuQt2u39zuXv5/uOLjn7bW1ZrHWY3GOPPQyQ0ZXQh+r1bwNgKI4CFOLr8eLcNHJj+fWvf51+9atftfpq+v5vf/vbN22xy1tMokve0hZpNm9729scsB9dCerrQiBvVdyyZUtNb8raGyK7Y8tk3qLd8nd67733TsOGDUv7779/9d+dv/L38xs1Wx37Zgz1bwNgKJkCFOLrUnHePdrRQNdy2Mu7vrqy5LMwdx7gat1SkOv84e+KuhoC3S/Q9EZw50Mt3uqQjJ0HyXzmeVeWfChEW4NhewNj3s1t6R0B/dsAGEqaAIX4quL8h/XFF19sc6hra9DL5p1d8rE/w4cPb/Pden6Xvu+++7ba3Zp3oXrn3llptydQfwJ5gMzHRu48ML700kut/m41/c164YUXqmOBO7sMHTq05oEx/91ynG1nhf//7fVvA2DX05NSEqDWfPmPZf5DWetWujz8dfb4nrx1ruU76LZ2wbT8Xj52x0KAAIHeFMjHEjftjajl72FntzLmN6h5CKx1C2Peg+FNrQGw5e/AgB2d7b69+RvUxx+r0QbA/C74ueeeq76effbZN/236fv5D15nT4Jo+YesveNpWh5rk3ex+kPWx385PD0CBGoWaHrjXOvA2JU3zvkkmPx3dMSIEc1fBxxwQPXvpv/mf+e9H42wNFr/bmudGgADSa+XAOU/Pnl3RnuDXdOwl0+WqHVp2pXxVgdIN71zze9i81Y9CwECBAh0LNB06EytA2NnDp3JJ7fsPBTuPCjus88+/f5NeL30747T0v4tDIABvf4QoPyH4vnnn+9wy12tJ0vk3akt/zi0fOeYv/8nf/In1VlxLtoaCJZSAgQIdKNA/vued0Nv3LixuRe09YY/77auZcl/35u2JLbsAS3//fa3v71Pv7HvD/27lnURuY0BMKBXOkD5l/WtdsnmLXf5YORaL4GQB7edf6l3/uXOW/bsfg2ERikBAgT6oEDeE5R7WluH97T83m9+85uann2+FFY++a6tAbHl90odo126f9eE2MM3MgAGgHsqQPkXMR/j0dEu2XyyRS1L3r36jne8o90td/mXMf/cJQhq0XQbAgQINK5AvhTXhg0bmgfFtvpU/nmtJ7XkY7o72uWcDxPq7g0PPdW/+1MyDICBtdVTAbr88svT5z//+ZqeWb7eXEfvsPKxdvndmIUAAQIECPS0QN7rlI9PbDkctvXvfKH+WpbcE+fNm1fLTWu+TU/175qfQB+4oQEwsBJ6KkB5+MuBb3nGVltna+Xv5V2yFgIECBAg0N8EWu5ybm+PVx4kc0+89NJLu/Xl9VT/7tYn2cN3ZgAMAPdUgPLlVvIFPu2SDawcpQQIECDQ7wXyLuf88ZzdfXmanurf/QncABhYWwIUwFNKgAABAgQKCejfPgkkFD0BCvEpJkCAAAECRQT0bwNgKHgCFOJTTIAAAQIEigjo3wbAUPAEKMSnmAABAgQIFBHQvw2AoeAJUIhPMQECBAgQKCKgfxsAQ8EToBCfYgIECBAgUERA/zYAhoInQCE+xQQIECBAoIiA/m0ADAVPgEJ8igkQIECAQBEB/dsAGAqeAIX4FBMgQIAAgSIC+rcBMBQ8AQrxKSZAgAABAkUE9G8DYCh4AhTiU0yAAAECBIoI6N8GwFDwBCjEp5gAAQIECBQR0L8NgKHgCVCITzEBAgQIECgioH8bAEPBE6AQn2ICBAgQIFBEQP82AIaCJ0AhPsUECBAgQKCIgP5tAAwFT4BCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPRvA2AoeAIU4lNMgAABAgSKCOjfBsBQ8AQoxKeYAAECBAgUEdC/DYCh4AlQiE8xAQIECBAoIqB/GwBDwROgEJ9iAgQIECBQRED/NgCGgidAIT7FBAgQIECgiID+bQAMBU+AQnyKCRAgQIBAEQH92wAYCp4AhfgUEyBAgACBIgL6twEwFDwBCvEpJkCAAAECRQT0bwNgKHgCFOJTTIAAAQIEigjo3wbAUPAEKMSnmAABAgQIFBHQvw2AoeAJUIhPMQECBAgQKCKgfxsAQ8EToBCfYgIECBAgUERA/zYAhoInQCE+xQQIECBAoIiA/m0ADAVPgEJ8igkQIECAQBEB/dsAGAqeAIX4FBMgQIAAgSIC+rcBMBQ8AQrxKSZAgAABAkUE9G8DYCh4AhTiU0yAAAECBIoI6N8GwFDwBCjEp5gAAQIECBQR0L8NgKHgCVCITzEBAgQIECgioH8bAEPBE6AQn2ICBAgQIFBEQP82AIaCJ0AhPsUECBAgQKCIgP5tAAwFT4BCfIoJECBAgEARAf3bABgKngCF+BQTIECAAIEiAvq3ATAUPAEK8SkmQIAAAQJFBPTvOhsAFy1alObNm5c2btyYxowZk2666aY0fvz4dsN11113pauvvjo99dRT6aCDDkpz585NJ598cs1hFKCaqdyQAAECBAj0GQH9u44GwDvvvDOdddZZafHixemYY45JCxYsSHnAW7t2bRo2bFir0K1atSqdcMIJac6cOenUU09Nt99+ezUA/vd//3c67LDDagqpANXE5EYECBAgQKBPCejfdTQA5qFv3Lhx6eabb65Ctn379jRy5Mg0bdq0NGPGjFbB+/u///v0u9/9Lt13333NPzv22GPT2LFjqyGylkWAalFyGwIECBAg0LcE9O86GQC3bduWhgwZkpYvX54mTZrUnLLJkyenTZs2pRUrVrRK3qhRo9Kll16aLr744uafzZw5M917773pxz/+cZtJ3bp1a8pfTcvmzZtTvp/169enoUOH9q10ezYECBAgQIBAmwJ5AMwbiZ555pm05557Nt9m8ODBKX81wjJgx44dO/r7C92wYUMaMWJEyrt1J0yY0Pxypk+fnlauXJlWr17d6iXuuuuu6V/+5V/S6aef3vyzW265Jc2ePTu98MILbZLMmjWr+rmFAAECBAgQqD+BvCEo9/pGWAyAnRgAd94CmHczv/TSS2nfffdNAwYM6Na8NL07sXWxW1lb3RnnnvVtunfOnHtHoHceRZ77v3Pe9vXiiy+mffbZJw0cONAWwN5Zpd3/KL21C7j7n3n79+j4hN7R5sy5dwR651HkmXPvCPTOo8hzzzrXxRbATJRPAsmXfMmXfslL3jqXj8+bOnVquyeBvPrqq+mb3/xms/Bxxx2XDj/88JpPAunJVSP4Pan7/++bM+feEeidR5Fnzr0j0DuPIs8961w3A2C+DEw+6WPJkiXVIJgvA7Ns2bK0Zs2aNHz48OoSMfk4wXzZl7zk4wXf//73p+uvvz6dcsop6Y477kjXXXddpy4D05OrRvB7UtcA2Du6nDn3tkDvPJ6/z5x7R6BnH6VuBsDMlC8B03Qh6Hw5l4ULF1ZbBvMyceLENHr06LR06dJm0XydwKuuuqr5QtA33HBDpy4E3ZOrJh9vmIfVz3zmMw1zRlJPerZ335x7R50z594R6J1HkWfOvSPQs49SVwNgz1K5dwIECBAgQIBAfQgYAOtjPXoVBAgQIECAAIGaBQyANVO5IQECBAgQIECgPgQMgPWxHr0KAgQIECBAgEDNAgbAmqnckAABAgQIECBQHwIGwD64HhctWtR8NvOYMWOqaxvmS9tYukcgn1199913V5cI2n333VO+/uPcuXPTe9/73u55APfSpkC+5FI+q/2iiy6qLtNk6V6B5557Ll1xxRXp/vvvT/kap+95z3vSV7/61XT00Ud37wM18L298cYb1ceEff3rX08bN25M73jHO9LZZ59dXU2iuz8NqpGYv/Od71Q974c//GF6/vnn0z333JMmTZrUTJA/tSN/RNutt96aNm3alI4//vj0xS9+MR100EGNxNTtr9UA2O2ksTvM1zPM1yxcvHhxdQmb3Cjz5WrWrl2bhg0bFrtz1ZXAX/3VX6XTTjstjRs3Lr3++uvpyiuvTE888UT62c9+lvbYYw9KPSDw/e9/P/3d3/1dGjp0aDrxxBMNgN1s/Nvf/jYdccQRle15552X9t9///SLX/wivfvd766+LN0jkK8VO3/+/Opz5A899ND0gx/8IH3iE59I1157bbrwwgu750Ea8F7ym5bvfve76aijjkof/vCHWw2A+Q16fuOe3d/5znemq6++Ov3kJz+p/mbvtttuDSjWPS/ZANg9jt12L3noy4NJvqZhXvInmowcOTJNmzatzU806bYHbuA7+vWvf10N1ytXrkwnnHBCA0v0zEt/5ZVX0pFHHpluueWWdM0116R8jU5bALvXesaMGVUDffjhh7v3jt3bmwROPfXU6oMFvvzlLzd//yMf+Ui1JyFvFbTEBfKW1JZbAPPWv7yl9bLLLkuXX3559QCbN2+u1kO+rm9+M2/pmoABsGtuPVLVlc807pEn0mB3um7dumpXQn5HedhhhzXYq+/5l5s/oSd/4PoXvvCF6oLsBsDuN//TP/3TdNJJJ6Vnn322eiOTP/Xo/PPPT5/85Ce7/8Ea+B7zFsAvfelL6YEHHkgHH3xw+vGPf5w+8IEPVFsFzzzzzAaW6b6XvvMA+OSTT1ZbsX/0ox9VfzualvxJXvn/b7zxxu578Aa7JwNgH1rhGzZsqP5w54+pmzBhQvMzmz59evVHffXq1X3o2dbHU8lbWP/mb/6mOq7kkUceqY8X1YdeRf6Ixbx7LO8CzrtqDIA9s3KadoNdeuml6WMf+1jlnY+1zIeS5AHc0j0C+e9FPmQkf2rUoEGDUj4mMOc7H9tq6R6BnQfA3A/zMX+5P7797W9vfpB8SEm+bT5sytI1AQNg19x6pMoA2COsb3mn+XipfPxJHv4OOOCA3n8CdfyI69evr05A+I//+I90+OGHV6/UANgzK3zXXXetrHOzbFryMWl5EHz00Ud75kEb8F7zG5pPf/rT1QkL+RjAxx57LF188cXVFkCDdvcEwgDYPY613IsBsBalXrqNXcC9BP3/Hmbq1KlpxYoVKZ+Blg8stnSvwL333ps+9KEPVVtKmpa8xST/gR84cGDKn6fa8mfd++iNdW8HHnhg+su//Mv0z//8z80vPJ8lmY+5zGcHW7pHIB+PnY+3vOCCC5rvMBvn4//yVQUscQG7gOOGtd6DAbBWqV66XT4JJF/yJV/6JS95l8OoUaNSHlbyHx5LXCAfVJxPqskHGj/00EMuJRAnbfMetmzZkp5++uk3/SyfMXnIIYdUlytxvGX3wZ9xxhkpb3FteRLIJZdcUh020nKrYPc9YmPe07777lsN1XnPQdOSz07Nl9v5+c9/3pgo3fyq2zsJJJ8Akk8EycvLL79cnbjnJJAYvgEw5tft1fl4hrwrYcmSJdUgmM+WXLZsWfXuMp/1ZIkL5IPjb7/99mrrX8tr/+25557V2XyWnhOwC7hnbPOu3nw9y9mzZ1eX2/ne975XnQCST1hwckL3medr/j344IPV3+e8CzifmPCpT30qTZkypbqWqKVrAvlKAflkvLzkyxnlXer5kkb55LG8ASTb5uuItrwMzOOPP+4yMF3jbq4yAAYBe6I8XwImH2OSLzSaz3JauHBhdU1AS/cItHfB1vwuPv+Bt/ScgAGw52zvu+++6mSEfP2/fEhDPiHEWcDd6523audr0OW9B7/61a+qy5Ocfvrp6bOf/WzKx2FauiaQ98TkgW/nJW8MyVv5mi4End/Q5BP23ve+91WXlcpnYlu6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LmAA7LqdSgIECBAgQIBAvxQwAPbL1eZJEyBAgAABAgS6LvB/AY1MO9ehFFMpAAAAAElFTkSuQmCC\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x7fc429653850>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "animate_line(u, t, sampling=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4eb57be9",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x7fc4284ee6a0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "animate_heatmap(u, t, sampling=5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}