plot_hybrid.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# NOTE: MODIFY THE PATHS BEFORE RUNNING "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## needed packages "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.24.2\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "print(np.__version__)\n",
    "\n",
    "import pickle \n",
    "\n",
    "import os\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import MaxNLocator\n",
    "\n",
    "from sklearn.datasets import make_classification\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.datasets import make_classification\n",
    "# 2D ploting imports \n",
    "import plotly\n",
    "# 3-D plot using surface graph\n",
    "import plotly.graph_objs as go\n",
    "import numpy as np\n",
    "import plotly.io as pio\n",
    "from scipy.interpolate import griddata\n",
    "\n",
    "\n",
    "from tqdm import tqdm\n",
    "\n",
    "# ignore warnings\n",
    "import warnings\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "\n",
    "from sklearn.metrics import confusion_matrix, f1_score, precision_score, recall_score\n",
    "\n",
    "from tqdm import tqdm\n",
    "\n",
    "# ignore warnings\n",
    "import warnings\n",
    "\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3D ploting fuctions for both surface and contour plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 3D plot\n",
    "def plot_3d(x, y, z, title='3D Plot', x_label='X', y_label='Y', z_label='Z', save_fig=False, transparent=False, width=800, height=800, algorithm='algorithm', contour = False):\n",
    "    \"\"\"This function plots the 3D graph of the data using plotly\n",
    "        in contour plot the z axis is represented by colors \"\"\"\n",
    "\n",
    "    # Convert input lists to numpy arrays and flatten them\n",
    "    X = np.array(x)\n",
    "    Y = np.array(y)\n",
    "    Z = np.array(z)\n",
    "\n",
    "    if contour:\n",
    "\n",
    "\n",
    "        # Create grid values first\n",
    "        grid_x, grid_y = np.mgrid[min(X):max(X):80j, min(Y):max(Y):80j]\n",
    "        # grid_x, grid_y = np.meshgrid(np.linspace(np.min(X), np.max(X), 50), np.linspace(np.min(Y), np.max(Y), 50))\n",
    "        # Interpolate using cubic interpolation\n",
    "        \n",
    "        grid_z = griddata((X, Y), Z, (grid_x, grid_y), method='linear')\n",
    "\n",
    "        # contour plot using matplotlib not plotly\n",
    "\n",
    "        plt.contourf(grid_x, grid_y, grid_z, levels=29, cmap='viridis')\n",
    "        plt.colorbar()\n",
    "        # hide the title of the graph\n",
    "        # plt.title('Contour Plot with Cubic Interpolation')\n",
    "\n",
    "        # naming axis\n",
    "        plt.xlabel(x_label)\n",
    "        plt.ylabel(y_label)\n",
    "        plt.show()\n",
    "        # save the contour plot \n",
    "        plt.savefig(f'{algorithm}_contourV1.png')\n",
    "\n",
    "        if save_fig:\n",
    "            if transparent:\n",
    "                transparency = 'transparent'\n",
    "\n",
    "                # save the figure in png extension with name of the algorithm and transparency\n",
    "                plt.savefig(f'{algorithm}_transContourV1_{transparency}.png', transparent=True)\n",
    "\n",
    "            else:\n",
    "                transparency = 'non-transparent'\n",
    "\n",
    "                # save the figure in png extension with name of the algorithm and transparency\n",
    "                plt.savefig(f'{algorithm}nontransContourV1.png')  \n",
    "        return\n",
    "        \n",
    "    # Create grid values first\n",
    "    grid_x, grid_y = np.meshgrid(np.linspace(np.min(X), np.max(X), 50), np.linspace(np.min(Y), np.max(Y), 50))\n",
    "    \n",
    "    # Interpolate the z values on the grid using 'linear' method\n",
    "    grid_z = griddata((X, Y), Z, (grid_x, grid_y), method='linear')\n",
    "\n",
    "    # Create the 3D surface plot\n",
    "    surface = go.Surface(x=grid_x, y=grid_y, z=grid_z, colorscale='Viridis')\n",
    "\n",
    "    layout = go.Layout(\n",
    "                title=title,\n",
    "                scene=dict(\n",
    "                    xaxis_title=x_label,\n",
    "                    yaxis_title=y_label,\n",
    "                    zaxis_title=z_label),\n",
    "                width=width,\n",
    "                height=height\n",
    "                ) \n",
    "    fig = go.Figure(data=[surface], layout=layout)\n",
    "    fig.show()\n",
    "\n",
    "    if save_fig:\n",
    "        if transparent:\n",
    "            transparency = 'transparent'\n",
    "            layout_trans = go.Layout(\n",
    "                title=title,\n",
    "                scene=dict(\n",
    "                    xaxis_title=x_label,\n",
    "                    yaxis_title=y_label,\n",
    "                    zaxis_title=z_label),\n",
    "                paper_bgcolor='rgba(0,0,0,0)',  # Transparent background for the plot\n",
    "                plot_bgcolor='rgba(0,0,0,0)',   # Transparent background for the plot\n",
    "                width=width,\n",
    "                height=height\n",
    "                ) \n",
    "            fig = go.Figure(data=[surface], layout=layout_trans)\n",
    "            # save the figure in png extension with name of the algorithm and transparency\n",
    "            pio.write_image(fig, f'{algorithm}_trans3d.png')\n",
    "\n",
    "\n",
    "        else:\n",
    "            transparency = 'non-transparent'\n",
    "\n",
    "            # save the figure in png extension with name of the algorithm and transparency\n",
    "            pio.write_image(fig, f'{algorithm}nontrans_3d.png')\n",
    "            "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Results reading and transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pickle\n",
    "# convert pkl file to csv file \n",
    "def pkl_to_csv(pkl_file, csv_file):\n",
    "    # read the pkl file\n",
    "    with open(pkl_file, 'rb') as f:\n",
    "        data = pickle.load(f)\n",
    "    # convert the pkl file to csv file\n",
    "    data.to_csv(csv_file, index=False)\n",
    "\n",
    "# convert csv file to pkl file\n",
    "pkl_to_csv('/Users/user/Desktop/Software Engineer/Fundamentals/ml-assisted-binary-search1/hybrid_vfinal.pkl', '/Users/user/Desktop/Software Engineer/Fundamentals/ml-assisted-binary-search1/hybrid_vfinal3.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# convert the csv file to dataframe\n",
    "\n",
    "import pandas as pd \n",
    "# read the csv file\n",
    "df = pd.read_csv('/Users/user/Desktop/Software Engineer/Fundamentals/ml-assisted-binary-search1/hybrid_vfinal3.csv')\n",
    "\n",
    "# convert the dataframe columns to n-lists without creating fucntion and take care of coloumn names in the read datafram \n",
    "# binary_runs = df['binary_runs'].values.tolist()\n",
    "# hybrid_runs = df['hybrid_runs'].values.tolist()\n",
    "alpha = df['alpha'].values.tolist()\n",
    "saved_runs = df['saved_runs'].values.tolist()\n",
    "loss = df['loss'].values.tolist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of negative values in saved runs: 15\n"
     ]
    }
   ],
   "source": [
    "# number of -ve values in saved runs list \n",
    "print(f\"Number of negative values in saved runs: {len([i for i in saved_runs if i < 0])}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(840, 840, 840)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check all lists have the same length\n",
    "len(alpha), len(saved_runs), len(loss)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "68.08731137337796\n"
     ]
    }
   ],
   "source": [
    "# multiplay all values in the listy by 2\n",
    "new_saved_runs = []\n",
    "for ele in saved_runs:\n",
    "    ele = ele*100\n",
    "    new_saved_runs.append(ele)\n",
    "\n",
    "print(np.max(new_saved_runs))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plots generation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "colorscale": [
          [
           0,
           "#440154"
          ],
          [
           0.1111111111111111,
           "#482878"
          ],
          [
           0.2222222222222222,
           "#3e4989"
          ],
          [
           0.3333333333333333,
           "#31688e"
          ],
          [
           0.4444444444444444,
           "#26828e"
          ],
          [
           0.5555555555555556,
           "#1f9e89"
          ],
          [
           0.6666666666666666,
           "#35b779"
          ],
          [
           0.7777777777777778,
           "#6ece58"
          ],
          [
           0.8888888888888888,
           "#b5de2b"
          ],
          [
           1,
           "#fde725"
          ]
         ],
         "type": "surface",
         "x": [
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ],
          [
           0.0020337119830714,
           0.0023583518442873,
           0.0026829917055032,
           0.0030076315667191002,
           0.0033322714279350003,
           0.0036569112891509004,
           0.0039815511503668004,
           0.004306191011582701,
           0.004630830872798601,
           0.0049554707340145,
           0.005280110595230401,
           0.005604750456446301,
           0.005929390317662201,
           0.006254030178878101,
           0.006578670040094001,
           0.006903309901309901,
           0.007227949762525801,
           0.007552589623741702,
           0.007877229484957601,
           0.0082018693461735,
           0.008526509207389402,
           0.008851149068605301,
           0.009175788929821202,
           0.009500428791037102,
           0.009825068652253001,
           0.010149708513468903,
           0.010474348374684802,
           0.0107989882359007,
           0.011123628097116603,
           0.011448267958332502,
           0.0117729078195484,
           0.012097547680764303,
           0.012422187541980202,
           0.012746827403196104,
           0.013071467264412003,
           0.013396107125627901,
           0.013720746986843804,
           0.014045386848059702,
           0.014370026709275601,
           0.014694666570491503,
           0.015019306431707402,
           0.015343946292923304,
           0.015668586154139203,
           0.015993226015355102,
           0.016317865876571004,
           0.016642505737786903,
           0.0169671455990028,
           0.017291785460218704,
           0.017616425321434603,
           0.0179410651826505
          ]
         ],
         "y": [
          [
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0
          ],
          [
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612,
           0.02040816326530612
          ],
          [
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224,
           0.04081632653061224
          ],
          [
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366,
           0.061224489795918366
          ],
          [
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448,
           0.08163265306122448
          ],
          [
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306,
           0.1020408163265306
          ],
          [
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673,
           0.12244897959183673
          ],
          [
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285,
           0.14285714285714285
          ],
          [
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897,
           0.16326530612244897
          ],
          [
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508,
           0.18367346938775508
          ],
          [
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612,
           0.2040816326530612
          ],
          [
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732,
           0.22448979591836732
          ],
          [
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346,
           0.24489795918367346
          ],
          [
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955,
           0.26530612244897955
          ],
          [
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857,
           0.2857142857142857
          ],
          [
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918,
           0.3061224489795918
          ],
          [
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793,
           0.32653061224489793
          ],
          [
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041,
           0.3469387755102041
          ],
          [
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017,
           0.36734693877551017
          ],
          [
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163,
           0.3877551020408163
          ],
          [
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224,
           0.4081632653061224
          ],
          [
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855,
           0.42857142857142855
          ],
          [
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464,
           0.44897959183673464
          ],
          [
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408,
           0.4693877551020408
          ],
          [
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469,
           0.4897959183673469
          ],
          [
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531,
           0.5102040816326531
          ],
          [
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591,
           0.5306122448979591
          ],
          [
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653,
           0.5510204081632653
          ],
          [
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714,
           0.5714285714285714
          ],
          [
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775,
           0.5918367346938775
          ],
          [
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836,
           0.6122448979591836
          ],
          [
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897,
           0.6326530612244897
          ],
          [
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959,
           0.6530612244897959
          ],
          [
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102,
           0.673469387755102
          ],
          [
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082,
           0.6938775510204082
          ],
          [
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142,
           0.7142857142857142
          ],
          [
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203,
           0.7346938775510203
          ],
          [
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265,
           0.7551020408163265
          ],
          [
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326,
           0.7755102040816326
          ],
          [
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387,
           0.7959183673469387
          ],
          [
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448,
           0.8163265306122448
          ],
          [
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551,
           0.836734693877551
          ],
          [
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571,
           0.8571428571428571
          ],
          [
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632,
           0.8775510204081632
          ],
          [
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693,
           0.8979591836734693
          ],
          [
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754,
           0.9183673469387754
          ],
          [
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816,
           0.9387755102040816
          ],
          [
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877,
           0.9591836734693877
          ],
          [
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939,
           0.9795918367346939
          ],
          [
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1,
           1
          ]
         ],
         "z": [
          [
           null,
           5.557378314984873e-17,
           0,
           -1.694240417521688e-17,
           -7.536044842281209e-18,
           0,
           0,
           -1.2623461632859324e-16,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           1.7144463524113563e-17,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           1.4223267713289344e-18,
           5.811042346645796e-18,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           0,
           null,
           null,
           null
          ],
          [
           null,
           0.4086237862615958,
           0.2507067284144886,
           0.19770042268197952,
           0.11082229793810607,
           0.25787824198603265,
           0.20677613349518392,
           0.2320449677790652,
           0.30536023933382855,
           0.31127519704581386,
           0.33448595384997537,
           0.11391858330633468,
           0.3468584567387632,
           0.3323922547816449,
           0.07044498382311948,
           -0.11917303364494285,
           0.13295778478020193,
           0.14232274468902456,
           0.078142810998819,
           0.07745266781411018,
           0.14174556320289586,
           0.14678490443796324,
           0.06743290696156082,
           0.0018738441080054678,
           -0.022520120159670778,
           0.07713874149064898,
           -0.0008943299074927712,
           -0.026888932610726526,
           0.0095328912751973,
           0.03010845004083673,
           0.03010845004083673,
           0.03010845004083673,
           0.03379147354499918,
           0.03512306719303673,
           -0.0809446833896204,
           -0.045787883785922204,
           -0.02606291768072244,
           0.002029983080781896,
           0.012253484391758988,
           0.012551145919620407,
           0.012551145919620407,
           0.015846043745204295,
           0.03103813186343975,
           0.014706678243763264,
           0.014706678243763264,
           0.007300192923517261,
           0,
           null,
           null,
           null
          ],
          [
           null,
           0.8006479028089827,
           0.5675514522407064,
           0.4379625408181762,
           0.2216445958762122,
           0.4563885606353768,
           0.29427497913319123,
           0.5189061252093987,
           0.6113143244227824,
           0.6296682249954368,
           0.6655076050590025,
           0.24715280847660065,
           0.6886981532959064,
           0.6337859822060405,
           0.1895931640078809,
           -0.2383460672898857,
           0.2742909475216882,
           0.24318020187575126,
           0.17900026818554574,
           0.19319961988212903,
           0.24823309567440144,
           0.2935698088759265,
           0.1475209605239482,
           -0.016864095371439913,
           -0.08493623724178617,
           0.09678629323963384,
           0.027605738978350267,
           -0.03396473273862767,
           0.006085887190230628,
           0.04613650711908851,
           0.06021690008167346,
           0.06372252374869697,
           0.06789313258174409,
           0.07613620696248506,
           -0.1618893667792408,
           -0.08328546691937094,
           -0.038976633340958855,
           0.013355561247910416,
           0.020417035286799917,
           0.025102291839240815,
           0.02833474404215161,
           0.04352683216038723,
           0.05871892027862269,
           0.07387733479405713,
           0.027622543374530212,
           0.01513582567244859,
           0.002649107970366972,
           null,
           null,
           null
          ],
          [
           null,
           1.331794394023749,
           1.1991995958045205,
           1.1296176558924274,
           0.8141065249282903,
           0.9356183000710165,
           0.8660999375919715,
           1.0397841015807598,
           1.157570423279967,
           0.9835823534190699,
           1.0335219166801788,
           0.7549943509251282,
           0.9945437249538349,
           1.0129168744525052,
           0.5813739908143212,
           0.15568987664651582,
           0.6548677052543657,
           0.585386476909263,
           0.5212065432190575,
           0.42338448502849657,
           0.3998712913928789,
           0.4518385591838231,
           0.30011295108234814,
           0.23792187984776575,
           0.1397124991330682,
           0.3214350296144882,
           0.13869228189262195,
           0.03067963013526661,
           0.07073025006412491,
           0.1107808699929828,
           0.17015694063991568,
           0.17432754947296286,
           0.17849815830600999,
           0.15257267682892658,
           -0.10475937198827928,
           -0.029862512263007908,
           -0.03291077405478532,
           0.03241079451389614,
           0.07122785931435455,
           0.07620118894726945,
           0.03168716952905754,
           0.046879257647293164,
           0.06207134576552863,
           0.06601023341125455,
           -0.0032783876444500634,
           -0.015765105346531694,
           -0.02037018793403437,
           null,
           null,
           null
          ],
          [
           null,
           2.202219465152356,
           2.09071496503639,
           2.111571203555315,
           1.8428106265272457,
           1.6514771065447498,
           1.834191715631384,
           1.6976925040260626,
           1.9004085270589133,
           1.3665592004123472,
           1.4978572532232861,
           1.5011336755261815,
           1.4090345701239413,
           1.3053538235130242,
           1.1962178921294084,
           0.9524052150761753,
           1.2119654350228293,
           1.1326253357791516,
           1.046181706652415,
           0.7541390884272404,
           0.6537742518024601,
           0.640418206649823,
           0.5120263446374854,
           0.5929158431564401,
           0.6157928981020799,
           0.6281725487805667,
           0.4183512480753117,
           0.20852994737005662,
           0.19108573135890544,
           0.2943318685788421,
           0.3433556300176078,
           0.3473418015956239,
           0.2898976560093218,
           0.24610074986576203,
           0.08546850845909976,
           0.09794997331229206,
           -0.031148321125756766,
           0.05882868190783404,
           0.15181940102356695,
           0.1463420728948208,
           0.14751430109129873,
           0.030326658920154254,
           0.03762002067162541,
           0.005695037866812618,
           -0.06587287083717625,
           -0.060385963674104245,
           -0.03084400105959452,
           null,
           null,
           null
          ],
          [
           null,
           2.942952771955297,
           2.962012090536748,
           2.937000630298845,
           2.820457569951434,
           2.3926729518278043,
           2.709921442000027,
           2.34638864217341,
           2.6171910589180616,
           1.851990275946915,
           1.9904222902456,
           2.4925481461418495,
           1.8823860703279096,
           1.6586670956378762,
           1.7906234840386819,
           1.7429527281967276,
           1.7759794869455336,
           1.7873388236894385,
           1.4862169053408103,
           1.0908088438471588,
           0.9904440072223786,
           0.8900791705975992,
           0.8517280531215176,
           0.9654677240650403,
           1.0792073950085626,
           0.9259811427168001,
           0.7161598420115451,
           0.5063385413062902,
           0.3646805886811516,
           0.5339435852330343,
           0.5272097083896581,
           0.467418815459363,
           0.40997466987306097,
           0.34766324673660254,
           0.2762778608302461,
           0.1286544506095153,
           -0.004192273604492536,
           0.08879844551124036,
           0.18178916462697325,
           0.17454512010695328,
           0.1549082676211065,
           0.01671051429885539,
           -0.01091456207341128,
           -0.042839544878224084,
           -0.10040173941417413,
           -0.0708597767996644,
           -0.03952098174273232,
           null,
           null,
           null
          ],
          [
           null,
           3.9042126947986433,
           3.6513450224535076,
           3.9258190538961295,
           3.6459593847533838,
           3.413369445433325,
           3.312084386849236,
           3.1932318938108963,
           2.8510052534343937,
           2.5986226172820883,
           2.746920495702696,
           3.0731915107779226,
           2.6639134031179985,
           2.5598672753417318,
           2.5317775666488425,
           2.4779556027605483,
           2.4057427827863984,
           2.347554894693346,
           2.20961145920317,
           1.6744888673968696,
           1.3803501308328705,
           1.3227188378495032,
           1.382301192429455,
           1.4437834293796141,
           1.4301776759137868,
           1.3871363864349302,
           1.1773150857296755,
           0.9213330863407497,
           0.7640233407563601,
           0.8647707752159903,
           0.7845873445041871,
           0.7095082104059425,
           0.6520640648196404,
           0.546981224452544,
           0.4723204605152984,
           0.06897335721991571,
           0.07015112498977746,
           0.1507350949998627,
           0.24372581411559563,
           0.12450949226612584,
           0.09151033865445181,
           0.02988424043906831,
           0.03492933667389581,
           0.014651387571387302,
           -0.09789896752685869,
           -0.08133358992522455,
           -0.03971597620617932,
           null,
           null,
           null
          ],
          [
           null,
           4.733452372159428,
           4.478264228637741,
           4.826293991549085,
           4.454711975061331,
           4.468442649296404,
           4.228333857520147,
           4.167774967066346,
           3.844928890179917,
           3.3452549586172617,
           3.644093298336103,
           3.6615132534120587,
           3.445440735908088,
           3.338503507104713,
           3.2721236220636696,
           3.2078361182899595,
           3.13562329831581,
           3.084561615850123,
           2.8022665300579126,
           2.411928661719883,
           1.7811016235571362,
           1.7991346607938696,
           1.8019538196851408,
           1.7883480662193136,
           1.7747423127534865,
           1.7611365592876589,
           1.626955775691895,
           1.1325453878453997,
           1.1557303370213807,
           1.1349100877343292,
           1.041964980618716,
           0.9515976053525217,
           0.8586933110611455,
           0.7466968519541939,
           0.4413950867222749,
           0.11144147355582856,
           0.16169204666430717,
           0.21267174448848508,
           0.30857364924265235,
           0.07718048033916809,
           0.03801287034445365,
           0.043057966579281216,
           0.04810306281410873,
           0.05314815904893623,
           -0.018690831681924844,
           -0.0851450811480642,
           -0.03991097066962631,
           null,
           null,
           null
          ],
          [
           null,
           5.821118807774097,
           5.505830714704247,
           5.807786553067437,
           5.561302518969931,
           5.687887272983303,
           5.325913376885238,
           5.14660853076113,
           4.999063978012094,
           4.372072440114769,
           4.550041877134065,
           4.498784368092698,
           4.329431203075392,
           4.254897809362591,
           4.1885179243215465,
           4.110808348136153,
           3.984862945508854,
           3.78832130369742,
           3.4345883975457285,
           3.291891698953409,
           2.7401116453648404,
           2.5861259495884523,
           2.381301033717292,
           2.367695280251465,
           2.354089526785638,
           2.3404837733198103,
           2.1927026475983595,
           1.7570878237759566,
           1.7396982361371849,
           1.596653279665686,
           1.5037081725500727,
           1.575797258739924,
           1.2591632136179194,
           1.1471667545109676,
           0.7396033292226327,
           0.3488119243768268,
           0.39906249748530537,
           0.38675730049177226,
           0.4023412681368232,
           0.20022271083321794,
           0.07441324174447123,
           0.0794583379792988,
           0.08450343421412629,
           0.0895485304489538,
           0.08695110610935376,
           -0.013662324641070575,
           -0.0401059651330733,
           null,
           null,
           null
          ],
          [
           null,
           7.005344465427681,
           6.62238810885763,
           6.9611512182758855,
           6.8048381981564425,
           6.794409918451562,
           6.521132153239503,
           6.157976964939703,
           6.239466770275547,
           5.530549333154199,
           5.499240203367796,
           5.517535712129861,
           5.338660516414999,
           5.265519351502709,
           5.243014761006401,
           5.20149726154613,
           4.901124065847595,
           4.670664554482261,
           4.2226999099258915,
           4.225074306676538,
           3.988909005795911,
           3.7302114975062604,
           3.4326929417863807,
           3.0734638820026294,
           3.059858128536802,
           2.9100196840927657,
           2.763289724595973,
           2.604192639782002,
           2.37422070275158,
           2.1684394631907193,
           2.189767588519513,
           2.4387233421190837,
           1.9416749845093415,
           1.6557351128666542,
           1.2623131498958438,
           0.8577977573091783,
           0.7149565409236328,
           0.7991488324192457,
           0.599341436197951,
           0.4193149733130611,
           0.23928851042817312,
           0.1283653645192112,
           0.1334104607540387,
           0.208451833927161,
           0.11795590683970103,
           0.01230598961701506,
           -0.0403009595965203,
           0.3414605713673662,
           null,
           null
          ],
          [
           null,
           8.093705047318826,
           7.698927274041835,
           8.06635133328937,
           7.9541562815761955,
           7.801247822397392,
           7.508693364181243,
           7.202421496160446,
           7.325688902586114,
           6.634319510213872,
           6.6030103804274685,
           6.463384265678206,
           6.279579928447241,
           6.203051385379609,
           6.483409040522979,
           6.183035844824444,
           5.882662649125908,
           5.474344514854133,
           5.026379870297764,
           5.091792795094269,
           5.023496450916094,
           4.764798942626444,
           4.506101434336792,
           4.065035048349314,
           3.6470633449740637,
           3.373457367202746,
           3.226727407705953,
           3.07999744820916,
           2.874150611741065,
           2.626239498258222,
           2.802858305212857,
           3.0561482989487354,
           2.6017213917997317,
           2.1046730341899846,
           1.643213522155113,
           1.2386981295684474,
           0.9204912197726179,
           0.9265053776970716,
           0.7464789148121836,
           0.5664524519272938,
           0.38642598904240577,
           0.2063995261575159,
           0.19992241121977525,
           -0.11743825283329735,
           0.11683302388487342,
           0.016975081020821934,
           -0.025121902079903623,
           0.3635947186350748,
           null,
           null
          ],
          [
           null,
           8.837895270337576,
           8.78182987691192,
           8.779915325139505,
           8.637293761516794,
           8.434706057552972,
           8.146057308770432,
           8.001790904478407,
           7.843338104850644,
           7.67410935405997,
           7.487953693568106,
           7.12631953642088,
           6.93381732004031,
           6.858318342388599,
           6.968992348481008,
           6.7279731075760925,
           6.2396281119921735,
           5.707291624490742,
           5.302200141733939,
           5.510418442487778,
           5.5541919941390585,
           5.361393976556124,
           4.88185662471781,
           4.289326919334327,
           3.891437976060515,
           3.410423743925236,
           3.2615675152653933,
           3.093783421429702,
           2.854714331419533,
           2.6360969674036627,
           2.4174796033877914,
           2.652444614237304,
           2.585456875396426,
           2.038339427227045,
           1.396702718086874,
           0.9921873255002085,
           1.3705770172753033,
           0.8361206704745991,
           0.6057972579639713,
           0.4257707950790815,
           0.2676400073797256,
           0.18508877424741005,
           0.0572321606901686,
           -0.1314684629680629,
           0.01437735157534905,
           0.021644172424628818,
           -0.0029877548121951675,
           0.38572886590278327,
           null,
           null
          ],
          [
           null,
           9.691176943767996,
           9.643338312051066,
           9.47266009648118,
           9.237768753215573,
           9.070123221871272,
           8.820635097248221,
           8.9545681554652,
           8.627394053197694,
           8.72195415789839,
           8.183549161363008,
           7.7974045269581005,
           7.5880547116333785,
           7.546515347128225,
           7.441279574173716,
           7.245827958774193,
           6.27307047259764,
           5.635579501353951,
           5.820286283508397,
           5.8640598351596775,
           5.90783338681096,
           5.951606938462241,
           5.062980982172059,
           4.523034850523964,
           4.1262759690165325,
           3.8690413416768683,
           3.2964076228248342,
           3.083189164580847,
           2.864571800564974,
           2.6459544365491037,
           2.427337072533233,
           2.248702271487115,
           2.5009548054574218,
           1.9650842564288047,
           1.3124418505950437,
           0.842224187777606,
           1.6979962593172775,
           0.7964731701693067,
           0.46511560111575895,
           0.3384118575855596,
           0.25586062445324487,
           0.17330939132092926,
           -0.08545808983943821,
           -0.13513405215856542,
           -0.09303221380480046,
           0.026313263828435685,
           0.01914639245551346,
           0.4078630131704919,
           null,
           null
          ],
          [
           null,
           10.583121397735326,
           10.572243309928412,
           10.399846876347006,
           10.142563783250683,
           9.86301733139512,
           9.810358302412395,
           9.820157561847497,
           9.37397728546419,
           9.480446249713953,
           8.853770121806127,
           8.548412656057675,
           8.336463342931218,
           8.158342468228728,
           7.998413347364433,
           7.474279634846901,
           6.765921010983402,
           6.23616986077298,
           6.400902586523508,
           6.117629508842818,
           6.1614030604941,
           6.052351087283603,
           5.322875756121135,
           4.737095712022493,
           4.549749021310385,
           4.541771791270147,
           3.924945168341344,
           3.5912606454674316,
           3.372643281451558,
           3.1540259174356873,
           2.9354085534198164,
           2.6124868778777097,
           2.569618470429548,
           2.2459108712795137,
           1.593268465445753,
           1.4470682391491825,
           1.940358976787852,
           1.1756196445795233,
           0.7205584599280898,
           1.09172035772879,
           1.0091691245964751,
           0.9266178914641597,
           0.0944917578848534,
           -0.01694373958308011,
           -0.046441540162899836,
           -0.007481894698234161,
           0.04128053972322192,
           0.4299971604382003,
           null,
           null
          ],
          [
           null,
           11.487953445214966,
           11.580192104749669,
           11.332448536481154,
           11.14879882606457,
           10.709394303777685,
           10.819290540922896,
           10.585770582609877,
           10.136185071633253,
           10.185849876038265,
           9.524603452838406,
           9.242801072982104,
           9.114331678846757,
           8.920088318572411,
           8.58382930305449,
           7.767734416075359,
           7.423137221966423,
           7.317239750167924,
           7.237372047075507,
           6.33784194286304,
           6.326313717278123,
           5.942192205565994,
           5.558070693853862,
           4.9880179579036925,
           5.330352693839762,
           5.204370182257393,
           4.756117333117496,
           4.33820155913074,
           4.046786099585192,
           3.8281687355693212,
           3.4696488708169957,
           3.137086293635695,
           2.860025883487091,
           2.5836251473936986,
           1.9921223421794472,
           2.0233259762788887,
           1.8242827847737408,
           1.6252395932685952,
           1.098011609226888,
           1.9583424365885012,
           2.01750691909628,
           1.2309526361344827,
           0.3724723227283839,
           0.16791500539295406,
           0.10716585869946545,
           0.039491212775882904,
           0.06341468699093054,
           0.4521313077059089,
           null,
           null
          ],
          [
           null,
           12.48213903134125,
           12.500340977060379,
           12.098298149977449,
           11.87771044346518,
           11.45473732278695,
           11.597994373018137,
           11.255724396001384,
           10.880725350543246,
           10.783939107962414,
           10.016584391092636,
           9.735652355249371,
           9.74789698736827,
           9.536905231942155,
           9.100111343575456,
           8.226574838682048,
           8.044963232259798,
           7.864028039032475,
           7.785541317209834,
           7.921703699451122,
           6.37623392197922,
           5.992112410267091,
           5.60799089855496,
           5.558854060618195,
           5.901188796554265,
           5.692493971068016,
           5.244241121928117,
           4.884631607922206,
           4.604261156111028,
           4.246869393683388,
           3.886821039651413,
           3.4306734924862683,
           3.153613082337665,
           2.817309587631658,
           2.252440212165592,
           1.9493949377616255,
           1.750351746256478,
           1.5513085547513323,
           1.374262769025932,
           2.2345935963875454,
           2.2547779121709888,
           1.2166873969641543,
           0.49481813147098586,
           0.2902608141355561,
           0.1963616966144406,
           0.1286870506908581,
           0.08554883425863902,
           0.4742654549736174,
           null,
           null
          ],
          [
           null,
           13.1050084661745,
           13.215623363513163,
           12.475059654652085,
           12.445589329809945,
           11.964334450591856,
           12.132055230800539,
           11.72894152493138,
           11.409599558104322,
           11.094327023068242,
           10.102329181113944,
           10.157778253615408,
           10.04475523197041,
           9.687008165080012,
           8.973239779558835,
           8.774786977164617,
           8.584212107610679,
           8.033360926078922,
           7.9671273053281695,
           8.0429310234235,
           6.7996719949906375,
           6.4155504832785075,
           6.585282877004306,
           5.801374539514137,
           5.982567236367395,
           5.380171549292399,
           4.960883509524267,
           4.823600522417665,
           4.686317535311061,
           4.463746359728582,
           4.104845924642186,
           3.185232185219551,
           2.912633035786246,
           2.687514989588485,
           2.2734906373372006,
           1.9738025907370085,
           1.775915325070711,
           1.66172882915961,
           1.5475423332485092,
           1.971587842255027,
           1.7618074987087575,
           1.0515546549416712,
           0.254016175978087,
           0.12848818422808614,
           0.13526389231883879,
           -0.00650512018112912,
           0.10768298152634764,
           0.496399602241326,
           null,
           null
          ],
          [
           null,
           13.644222002676665,
           13.803735669466539,
           12.911415950244038,
           13.037107044196578,
           12.51414218763426,
           12.666116088582939,
           12.310337293141082,
           12.005299711329924,
           11.382982899202402,
           10.561032556423893,
           10.61648162892536,
           10.499777074149124,
           9.80266538583794,
           9.521451918041402,
           9.322999115647187,
           9.12454631325297,
           8.312890686761913,
           8.24665706601116,
           8.18042344526041,
           7.384518241850818,
           7.251006683129392,
           6.940722153657075,
           6.253672713531584,
           6.063945676180525,
           5.067849127516783,
           4.899852424019727,
           4.762569436913124,
           4.625286449806521,
           4.488003462699918,
           4.322870809632961,
           3.032940610561222,
           2.691255713565662,
           2.466137667367902,
           2.2410196211701443,
           2.0415595002664664,
           1.9273730043553643,
           1.8131865084442635,
           1.699000012533163,
           1.274862436939312,
           1.0650820933930423,
           0.8553017498467705,
           0.016052968380731333,
           0.060705633432579474,
           0.06699112760015283,
           0.04151655476683002,
           0.1460609209850568,
           0.5185337495090344,
           null,
           null
          ],
          [
           null,
           14.413456352200086,
           14.40041698707116,
           13.801283971979132,
           14.01998166964278,
           13.503862914919893,
           13.268700211402644,
           12.864186422643868,
           12.521148772199647,
           11.684354335111632,
           11.480653692701448,
           11.406216123457185,
           11.461665195958648,
           10.78995615493727,
           10.199818902608992,
           10.001366100214778,
           9.687682134919905,
           8.98928057397293,
           8.79038136193796,
           8.61989957868198,
           7.8235353591367796,
           7.533114913706316,
           7.2016964377831885,
           6.781641122427737,
           6.575965981469437,
           5.60608493957511,
           5.133296736852274,
           4.994261770239774,
           4.8569787831331706,
           4.719695796026567,
           4.439029396949096,
           3.6610206754894525,
           2.7455424995422724,
           2.5204244533445124,
           2.293232410339776,
           1.8547332975014523,
           1.7255757629500486,
           1.6113892670389478,
           1.5558843680964365,
           1.070775417989399,
           0.8609950744431294,
           0.6929800184125486,
           0.47940908068937305,
           0.1567765210205871,
           0.09691901463354623,
           0.09589494375779022,
           0.472070959970064,
           0.540667896776743,
           null,
           null
          ],
          [
           null,
           15.199681814563135,
           15.02822551766861,
           14.778859523523945,
           14.849453357341776,
           14.53669883014851,
           13.883376675111286,
           13.395109587342887,
           13.197865371623404,
           12.860520320837765,
           12.65681967842758,
           12.453119036017396,
           12.309816946823744,
           11.93927661529122,
           10.91474122394172,
           10.649457635635063,
           10.146430475185621,
           9.79909346272788,
           9.380728222907788,
           8.984093903796152,
           8.46616913763686,
           8.107100343437894,
           7.738470756618118,
           7.351281083570349,
           7.082954749637384,
           6.312471710451376,
           5.551325725508087,
           5.303791751238185,
           5.140328190371207,
           4.891217013568556,
           4.537694370725136,
           4.1803605686885135,
           3.2048513921943984,
           2.623357846650039,
           2.3892620105079763,
           1.991515072087699,
           1.4614394178935615,
           1.386519699901845,
           1.341814071302197,
           0.9536245848687441,
           0.778620278636163,
           0.6354535293884329,
           0.49228678014070426,
           0.28176272126450913,
           0.1314794367230611,
           0.15027333274875054,
           0.798080998955072,
           0.5628020440444516,
           null,
           null
          ],
          [
           null,
           15.856922689426462,
           15.577676467062389,
           15.601431990742768,
           15.619226431394,
           15.293177841491989,
           14.476656624543502,
           14.043603576358745,
           13.827169734770596,
           13.733538952970255,
           13.529838310560073,
           13.32613766814989,
           13.122437025739707,
           12.525843167615406,
           11.513227744404464,
           10.99167808962871,
           10.654765347285315,
           10.38512979508494,
           9.887795752099699,
           9.34930530085567,
           8.869990172594317,
           8.510921378395352,
           8.141773762715408,
           7.74699663460527,
           7.355541319761926,
           6.9791493154012505,
           5.940237106483297,
           5.692703132213394,
           5.414664860921144,
           4.992937658956919,
           4.639415016113498,
           4.19804888862051,
           3.5086483107550945,
           2.8007943041890373,
           2.4704308525631675,
           2.2275204921871143,
           1.6703193978443467,
           1.3683190798468972,
           1.3182635155222697,
           0.9810610296904873,
           0.8049572975918761,
           0.661790548344146,
           0.5186237990964173,
           0.25175916109170415,
           0.1858578257140213,
           0.20465172173971075,
           0.9427686507022262,
           0.58493619131216,
           null,
           null
          ],
          [
           null,
           16.359818200305853,
           16.033176180124823,
           16.182108270339572,
           16.299451584976076,
           15.635121497007775,
           15.055940691170301,
           14.931263707198559,
           14.342164447327267,
           14.112031447049842,
           13.948135912302103,
           13.74443526989192,
           13.150341099781581,
           12.268278857894945,
           11.490892022782935,
           11.170703918777727,
           10.903364168984748,
           10.635501292845163,
           10.802474495260242,
           9.7374484910376,
           9.067347863445827,
           8.556523298038876,
           8.177092237432317,
           7.753220502095983,
           7.276524592821357,
           6.9984820677040815,
           6.454383846042338,
           6.0379381016677005,
           5.6920179403263935,
           5.099241811763765,
           4.722207206036616,
           4.279001457682126,
           3.577418787356639,
           3.0190247390167153,
           2.5293085574488448,
           2.612361380556286,
           2.015620155347744,
           1.4220532554916234,
           1.4902167814758236,
           1.2433344098200831,
           0.9570895785173341,
           0.813922829269604,
           0.40697512537723274,
           0.37924981002181657,
           0.2696404225000656,
           0.2590301107306711,
           1.0071103215696011,
           0.6070703385798686,
           null,
           null
          ],
          [
           null,
           16.718246973394812,
           16.607009123653935,
           16.70324656159444,
           16.771660678604054,
           16.010007910274325,
           15.711618351907616,
           15.818923838038375,
           15.008571662840943,
           14.448954589090487,
           14.336201174254153,
           13.601230657132367,
           13.260046913020235,
           12.141928018284005,
           11.686642490270138,
           11.419302740477164,
           11.151962990684186,
           10.884623240891209,
           11.727698461703733,
           10.12559168121953,
           9.455491053627757,
           8.785390426035992,
           8.21241071214923,
           7.765744718667413,
           7.2156536553576345,
           6.9402589514738935,
           6.664864247590153,
           6.330159267663323,
           5.969371019731641,
           5.42824157627845,
           4.799067074220676,
           4.359954026743742,
           3.7956492221843163,
           3.2372551738443915,
           2.6788611255044734,
           2.9757557319221895,
           2.3479075758687538,
           1.7200594198153252,
           1.538522991662512,
           1.505607789949678,
           1.1743034541129163,
           0.7112361826377385,
           0.12553380581251153,
           0.37382079285930797,
           0.37415890984409583,
           0.31340849972163126,
           1.0714519924369756,
           0.6292044858475772,
           1.017921106562551,
           null
          ],
          [
           null,
           18.87279654947499,
           18.497065023824405,
           18.497213228134346,
           18.342927693458655,
           17.628115111604462,
           17.425397519680537,
           17.869511954328146,
           16.96494958924526,
           16.27431333935364,
           16.125888769515768,
           15.568280404115413,
           15.086031130249978,
           14.371166049227998,
           13.524738549138073,
           13.257398799345095,
           12.99005904955212,
           12.734873012654582,
           11.3508689638484,
           12.046253815373067,
           11.376153187781293,
           10.616615742215572,
           10.041229683413285,
           9.3366498011688,
           8.68331050410418,
           8.407417290466569,
           8.13202258658283,
           7.821716114075684,
           7.463490941982117,
           7.111937628259389,
           6.424220953956523,
           5.882663246623846,
           5.076814106410162,
           4.518420058070238,
           3.90190351258256,
           3.9651630453119884,
           3.904022055548132,
           3.2532237611278765,
           2.465890678021433,
           2.415969582409457,
           1.9577939239406885,
           1.7663009127700076,
           1.4065846317915227,
           0.5908693774882342,
           0.5412891915378426,
           0.36778688871259163,
           1.1357936633043506,
           0.7330722026433091,
           1.0400552538302594,
           null
          ],
          [
           null,
           20.95926034661258,
           20.85343435307695,
           20.187040597029174,
           19.968946367108327,
           19.32989420063224,
           19.211828319274144,
           19.97527051313095,
           18.981515974783566,
           18.21637971271491,
           17.711294965483262,
           17.410062629970383,
           17.01963781045289,
           16.720543214878067,
           16.32055230588829,
           15.179152607537695,
           14.92459363035959,
           14.68348647153384,
           13.634918791659022,
           13.845517942574773,
           13.319480032297133,
           12.25912630143306,
           11.888092734548511,
           10.828098712480378,
           10.231503327479167,
           9.955513692724626,
           9.679524057970086,
           9.377178421909475,
           9.074740392394492,
           8.78197076845211,
           7.858442048687962,
           7.477232062003486,
           6.597262121558926,
           5.855528860685465,
           5.087661838250799,
           4.25230729591031,
           5.524548485709534,
           4.752559182957297,
           3.8324427341415666,
           3.3604412913076698,
           2.583439745621937,
           2.3596118514171933,
           2.281778603261641,
           1.4359627443252196,
           0.8744967715215395,
           0.5005927026798028,
           1.2001353341717256,
           1.059082241628317,
           1.0621894010979682,
           null
          ],
          [
           null,
           23.32015111125029,
           23.201983928074743,
           22.49582058175763,
           22.006887829847372,
           21.362056621660912,
           21.243990740302813,
           21.926543312183792,
           21.22216519828041,
           20.455542835747128,
           19.714109706727548,
           19.41151795415577,
           19.16168151397171,
           18.942558504403276,
           18.529677526990167,
           16.986338290016903,
           16.979131450314835,
           16.73652294696333,
           15.930964497940796,
           15.485247174575836,
           15.160265342754386,
           14.099911611890313,
           13.870898294756262,
           12.446684772606627,
           12.038689390293062,
           11.76269975553852,
           11.486710120783982,
           11.207258630708228,
           10.914489006765843,
           10.54266310669798,
           8.911373112430198,
           8.717960710281265,
           7.837990769836706,
           7.253547470445365,
           6.497427279440234,
           5.685751636718367,
           6.313904335006276,
           5.494255754604398,
           4.574139305788669,
           3.7097379107547956,
           2.9093112437638498,
           2.1707911048256254,
           2.9780283463035326,
           2.132212487367111,
           1.9439953861457027,
           1.5700913173039661,
           1.2644770050391005,
           1.3850922806133252,
           1.0843235483656766,
           null
          ],
          [
           null,
           25.955468843388115,
           25.527119782253294,
           25.385372171011774,
           24.46763362619282,
           23.761340089369316,
           23.670864210216042,
           23.72333035148666,
           23.486256287184332,
           22.90262856428906,
           22.203268550704472,
           21.728704420715072,
           21.511219622338082,
           21.33931786905443,
           20.581379920823377,
           18.68057775864586,
           19.139593631346052,
           18.894458335381305,
           18.247921577105966,
           17.638344713622963,
           17.1993254044514,
           16.35863537709036,
           15.796318641799633,
           14.622037385144317,
           14.10486869254585,
           13.828879057791308,
           13.549342310295797,
           13.269619325889565,
           12.982736785096156,
           11.951605282393183,
           9.951420881291497,
           9.60484919145718,
           9.086037177635141,
           8.702157624604698,
           8.131199836150852,
           7.490006325372442,
           7.421779059230061,
           6.139958723066309,
           4.558197027253452,
           3.735835085357373,
           3.021327429156723,
           2.311479083355102,
           3.026317112454273,
           2.6796186066139054,
           3.7497850354103224,
           2.907082869263109,
           1.930319337722292,
           1.7111023195983315,
           1.106457695633385,
           null
          ],
          [
           null,
           28.448599831692935,
           27.872740622686084,
           27.659439611926782,
           26.870835334708627,
           26.154072006126533,
           25.94544220043396,
           25.78809796758358,
           25.605247871155335,
           25.249616162560876,
           24.59337931875958,
           23.974291951986586,
           23.763776924310125,
           23.598139258456847,
           22.103258268383904,
           20.325167994318626,
           21.0251117674511,
           20.92027835578738,
           20.515849262460524,
           19.906272398977517,
           19.308958376722693,
           18.566012745319135,
           17.523503404781376,
           16.738414857002056,
           16.04230032467258,
           15.7307485071285,
           15.451025522722267,
           15.171302538316036,
           14.849537012352375,
           13.076923937392863,
           11.459544476531871,
           10.865304415472991,
           10.481424862442552,
           10.097545309412109,
           9.688804566640073,
           9.20096805083637,
           8.713131535032657,
           7.65801753214188,
           4.646287491119667,
           3.936439145318046,
           3.226590799516432,
           2.516742453714811,
           1.7666885904773837,
           4.582737228600404,
           5.042706691312355,
           4.065943159771538,
           3.089179628230721,
           2.0371123585833395,
           1.1285918429010937,
           null
          ],
          [
           null,
           28.71643862254012,
           28.254971291284676,
           27.835993661264474,
           27.12929074938367,
           26.991642759081124,
           26.138233165994393,
           26.482076832886534,
           26.01836599880172,
           25.694739285700066,
           25.10157664429967,
           24.455670201457526,
           23.975277980503407,
           23.236139118132797,
           22.006049192183852,
           21.02642280382355,
           21.25345529281508,
           20.435906383966906,
           20.024374749431658,
           19.56450534780948,
           19.460237271871847,
           19.35596919593421,
           18.670581504909038,
           17.723936624492147,
           15.987216272012315,
           14.586554385183405,
           14.30683140077717,
           14.027108416370938,
           14.734502984690522,
           13.505970112742837,
           12.14280878799724,
           11.258513708973283,
           10.865585629563164,
           10.481706076532722,
           10.096656796911056,
           9.139363475687073,
           8.245416427564049,
           6.81922546548428,
           5.49803485126557,
           5.368634960452277,
           4.658786614650664,
           3.849248042604003,
           2.5468700610678625,
           3.912845578990462,
           4.0840718336703405,
           3.1073083021295225,
           2.2760116021052377,
           2.3631223975683477,
           1.1507259901688023,
           null
          ],
          [
           null,
           28.90390532639752,
           28.61358841547041,
           28.37904635385945,
           27.631108254126197,
           27.84034804526285,
           26.632742411713657,
           27.080134407242767,
           26.57657072320815,
           26.22228075242177,
           25.663086424181618,
           25.02175021886537,
           23.91484814002954,
           23.90296147198829,
           22.884894555536274,
           21.982054206093938,
           20.98165765521075,
           20.287785001770573,
           19.6037933415461,
           19.49952526560847,
           19.395257189670833,
           19.2909891137332,
           19.186721037795568,
           18.709458391982235,
           15.932132219352049,
           14.191743982990458,
           13.162637278832072,
           14.877810169120346,
           14.535942099509526,
           13.935016288092815,
           12.918615010054932,
           12.034319931030977,
           11.249746396683777,
           10.865038732604834,
           10.479737059939138,
           9.077758900537777,
           7.656228243200065,
           5.956622691791374,
           6.215050479655387,
           6.638729885145366,
           5.935871066760222,
           4.359641760436981,
           3.280023840536003,
           3.923934927732807,
           3.4250531745233883,
           2.217918716768175,
           1.8948292328152059,
           2.188194161786278,
           1.3200834843015767,
           null
          ],
          [
           null,
           29.11799967585672,
           28.997381819591176,
           28.85925699513456,
           28.163686314265714,
           28.352932508980647,
           26.90622558046975,
           27.514359925354505,
           27.010796241319888,
           26.621599179689543,
           25.861307765642973,
           25.250565058888807,
           23.860648961547646,
           23.159200274604558,
           23.660819301921553,
           22.757978952479217,
           21.70894443976707,
           20.571857548016037,
           20.015030180126693,
           19.826218159315793,
           19.72195008337816,
           19.61768200744053,
           19.513413931502892,
           19.050759858987067,
           16.87711281671861,
           15.136724580357017,
           13.997715037481042,
           15.013034255038779,
           14.671166185427957,
           14.129836425018091,
           13.280754518202786,
           12.396459439178829,
           12.061254586604981,
           10.810590757548153,
           10.425289084882456,
           9.279978184499026,
           7.443066990658326,
           6.468726299724223,
           6.145354064236603,
           6.569033469726582,
           5.837461355278526,
           4.261232048955284,
           2.980366049611835,
           3.592826762816072,
           2.8617089667685827,
           2.314953510162381,
           1.7869278274893698,
           1.9813948634734344,
           1.6460935232865832,
           null
          ],
          [
           null,
           29.453749151177142,
           29.372225732161265,
           29.169142530005296,
           28.669110541160173,
           28.616727334901668,
           27.856805957219304,
           28.439939088976157,
           27.33590642430409,
           26.89496029818751,
           25.81202868789019,
           25.367867486021236,
           23.990358695544337,
           23.88051925600277,
           24.147073168155764,
           23.184610893715877,
           22.181710404629943,
           21.029791359878995,
           21.23680859102332,
           20.44847844767873,
           20.309758294357724,
           20.177099847623378,
           19.246026967376345,
           19.023444865235394,
           18.80086276309444,
           16.748414944408154,
           15.785154183881485,
           15.3707816550235,
           14.957507125747782,
           14.15714404772529,
           13.356780969702797,
           12.482821138053447,
           13.141988787337917,
           10.693701188051904,
           10.0480710892554,
           9.071399612035764,
           7.480590359331425,
           7.345176211115714,
           6.607044946943454,
           5.974862358435379,
           5.333182690920368,
           3.928469578653699,
           2.848250519177623,
           2.8574862425436427,
           2.287526142735918,
           2.74485407602335,
           2.1657961366377143,
           1.77459556516059,
           1.9721035622715912,
           null
          ],
          [
           null,
           30.078923211192553,
           29.80538244301893,
           29.542082933426748,
           29.250459627653292,
           28.8961198107017,
           28.965682236517026,
           29.206001867601167,
           27.677081856732418,
           27.078091061239494,
           25.95555282021872,
           25.563340862603255,
           24.677344288811817,
           24.567504849270247,
           24.45766540972868,
           23.63147337312468,
           22.540564310441102,
           21.759820326188777,
           21.9668375573331,
           21.71217104864845,
           20.69634824029988,
           19.68953327720844,
           19.122694839223488,
           18.900112737082537,
           18.677530634941583,
           18.205819196079645,
           17.322777666685685,
           15.935113396835675,
           15.079534741258593,
           14.279171663236099,
           13.47880858521361,
           11.085620386842795,
           13.880497730155577,
           11.43221013086956,
           9.641478943599838,
           8.664807466380202,
           8.581653676292152,
           8.079833654087693,
           7.34170238991543,
           6.603571125743163,
           4.782092367472247,
           3.9628212435504553,
           2.8826021840743783,
           2.108052094807461,
           3.021739099890559,
           3.1237223851716944,
           2.5446644457860588,
           1.9656065064004171,
           1.8611611958188141,
           null
          ],
          [
           null,
           30.87638464415938,
           31.077172230334654,
           30.272334258635638,
           29.97393515753968,
           29.34599177955257,
           29.33004652615667,
           29.550369830075073,
           28.085062339827168,
           27.551943794602145,
           26.669014414563843,
           26.20178295273304,
           25.16977401600513,
           25.059934576463565,
           24.554413040500165,
           24.21400977420437,
           22.90774479773262,
           21.599729605011355,
           21.48492468660178,
           21.77085289457875,
           20.844143043804237,
           19.890524389513928,
           18.455265616130582,
           18.232683513989627,
           17.86655175470285,
           17.1444001246796,
           16.26117279816303,
           15.376997360338207,
           14.905861904602613,
           14.93794590463406,
           14.137582826611567,
           12.159769880129133,
           13.123071193589244,
           11.030025897780074,
           10.072076252446479,
           9.123884009651654,
           8.459105920453219,
           8.011000442682423,
           7.272869178510161,
           6.2069564729383195,
           4.179174355985348,
           4.550141391859364,
           3.860267955846651,
           2.3145833696088047,
           3.0495407265044925,
           2.897983609176032,
           2.7464264918475707,
           2.344474815548762,
           1.7654168761631266,
           null
          ],
          [
           null,
           31.742739638661504,
           31.920221464945854,
           30.97871342175797,
           30.601959822522073,
           29.84069120212654,
           29.694410815796314,
           29.891523681508602,
           28.526766567691233,
           28.02579652796479,
           27.424994290073258,
           26.865627936463138,
           27.172398915251836,
           25.393402431383578,
           24.563301722322507,
           24.796546175284064,
           23.37775473264164,
           21.904983914244383,
           21.475359886439783,
           21.89841563642594,
           20.985870725071607,
           20.07332581371728,
           19.412146992558114,
           17.484132106202694,
           16.769594727883035,
           16.05505734956337,
           15.199224140485795,
           14.31504870266097,
           13.827664091582289,
           14.543648036400498,
           14.796357068009526,
           13.376092201199885,
           12.1051490389732,
           11.324224316785665,
           10.468597251682368,
           9.582960552923103,
           8.037607149402083,
           7.340136133651127,
           6.782455869995765,
           4.7136310578611615,
           3.576256344498448,
           3.9472233803724643,
           4.318190416246478,
           2.5211146444101495,
           2.5781042640492275,
           2.4265471467207664,
           2.2749900293923058,
           2.1234329120638433,
           1.9718757947353822,
           null
          ],
          [
           null,
           33.0148417413931,
           32.895233437554,
           32.2694707687846,
           31.629361097576904,
           30.94984315561875,
           30.552811883728737,
           29.956724986148455,
           29.494058118795813,
           28.935151331883816,
           28.48820502505333,
           27.92883867144321,
           28.18467819323121,
           25.88769670281086,
           25.057595993749793,
           25.692466260808278,
           24.563549563960606,
           22.892439246033625,
           22.244054164243334,
           22.638976277345925,
           21.726431365991587,
           20.69346333289473,
           20.011404274944873,
           18.633397253357472,
           17.918859875037818,
           16.884076381813717,
           16.60536092854455,
           15.721185490719725,
           14.007617944831669,
           14.443585984198208,
           14.55555686773296,
           13.28461370550626,
           12.403644800057503,
           11.766001433222947,
           10.910374368119648,
           9.836204182081346,
           8.216999686530817,
           7.446675318614698,
           6.850786666185865,
           4.781961854051261,
           2.8569782610472094,
           3.227945296921226,
           3.598912332795238,
           2.32142922176608,
           2.1836718052200363,
           2.0321146878915757,
           1.8805575705631146,
           1.7290004532346521,
           1.577443335906191,
           null
          ],
          [
           null,
           34.460835461937336,
           33.92680086930369,
           33.819103672088346,
           33.05923513511612,
           32.32233190807593,
           31.767443432028628,
           30.969108842600882,
           30.67023662220686,
           29.954289031986058,
           29.643296760700675,
           29.153805505653526,
           28.949500494000763,
           27.649199224924942,
           25.853899232607503,
           26.862951957945562,
           25.91625374008629,
           24.172266444632683,
           24.09485515446912,
           23.879387793848988,
           22.723634703905564,
           21.1410053211672,
           21.01338061025385,
           21.009731210536085,
           20.030791668181752,
           17.955073414457303,
           17.608284704800607,
           18.185073184093937,
           16.13944151566534,
           14.762724972346515,
           13.945882793447973,
           13.316184825763914,
           12.686486858079865,
           12.056788890395806,
           11.37154696335753,
           10.095671134534438,
           8.975985665428874,
           7.765398857651363,
           7.214478313580706,
           4.456367390881641,
           3.711958484496666,
           2.4587986111995486,
           2.0710696291342847,
           1.9374357440279844,
           1.8038018589216827,
           1.6701679738153823,
           1.5191268275736676,
           1.461537994736453,
           2.062501993372591,
           null
          ],
          [
           null,
           35.89626045150462,
           35.027151601409344,
           35.293050115722664,
           34.47398011853382,
           33.382918265005785,
           33.10726248608216,
           32.12414356390457,
           31.846051250217485,
           30.986465859559416,
           30.670953315517693,
           30.269798348516595,
           29.86275825058893,
           28.919624565513647,
           27.05032446306945,
           28.05937718840751,
           26.87198705377341,
           25.195841390163913,
           25.66945540660265,
           25.226202523495072,
           23.44265297196466,
           21.715002326412225,
           21.711352926694467,
           21.7077035269767,
           21.26871000308432,
           18.770621533856634,
           17.66632275833379,
           19.057664015445553,
           17.905218082292766,
           14.844448501735517,
           14.473009355123382,
           13.843311387439325,
           13.213613419755273,
           12.583915452071214,
           11.954217484387163,
           10.330152587981019,
           10.080304213631312,
           7.787632071512684,
           7.236711527442029,
           5.184416164338079,
           4.440007257953103,
           2.510482777385642,
           2.033800815100485,
           1.9001669299941848,
           1.7665330448878829,
           1.6328991597815825,
           1.4720775752928517,
           2.256301011558767,
           2.032112115392866,
           null
          ],
          [
           null,
           37.22940692861187,
           36.54270793664239,
           36.53993718034866,
           35.74680767897882,
           34.86026151446319,
           34.46373052600251,
           33.70713087976203,
           33.11023079219414,
           32.13682545531548,
           31.724166434479038,
           30.90967008440189,
           30.34486389882181,
           29.397751750451498,
           28.414053705790806,
           28.425023296424783,
           26.69252977821801,
           26.110239013263033,
           26.415453444459406,
           25.442943128344766,
           24.872440317918517,
           23.276300814180615,
           21.497313186529965,
           21.63966444117653,
           21.317911382750864,
           19.675659605550145,
           18.751792155219263,
           17.82792470488838,
           18.76768444585395,
           16.78374591638886,
           15.732989427757941,
           15.103291460073883,
           14.473593492389833,
           13.587354243074863,
           12.272743359058829,
           12.066946881042824,
           10.143096352134148,
           8.032459804133998,
           7.597984171105586,
           7.2857053688368625,
           5.82658374665315,
           3.2676563301924966,
           2.888860561528415,
           2.9030721070732874,
           2.7694382219669857,
           2.2498468266552405,
           2.2668405921151655,
           2.4369992846809243,
           2.0017222374131407,
           null
          ],
          [
           null,
           38.52365161590223,
           38.06505402682687,
           37.81262650699506,
           37.170797550463284,
           36.34367668191815,
           35.6871566533195,
           35.224816996621165,
           34.371999864597726,
           33.287185051071546,
           32.84591940658224,
           31.944866770398683,
           30.826993486066783,
           29.87682175881004,
           30.317376127134086,
           28.798491418220404,
           26.986681216007042,
           27.024636636362143,
           26.998061685555026,
           26.43766250540643,
           25.899407626568525,
           24.734833184051226,
           21.283273446365463,
           22.25821105009981,
           22.01726171159849,
           21.093394261267598,
           20.16952681093672,
           19.245659360605842,
           18.32179191027495,
           18.72304333104219,
           15.4060346563917,
           16.36327153270844,
           15.21911918466361,
           13.904508300647564,
           12.58989741663153,
           10.981612246207757,
           9.49781174236486,
           8.369757608635371,
           8.057478806366651,
           7.74520000409793,
           7.168616969176381,
           3.5857202407664235,
           1.4776738578858761,
           3.9059772841523843,
           3.231101518011896,
           2.4050398778900006,
           2.841886453968988,
           2.406609406701199,
           null,
           null
          ],
          [
           null,
           39.9860104946006,
           39.322965569486215,
           39.10131294648042,
           38.494282685809225,
           38.227093158068996,
           36.98736031051084,
           36.47233545156466,
           35.98175296323841,
           34.61086470495451,
           34.169599060465195,
           33.33473703067837,
           32.43079884794897,
           31.723923527040707,
           31.92391171228787,
           30.42279057271029,
           28.127341908479018,
           28.165297328834125,
           27.619332282967626,
           27.044925185918373,
           26.480746397345673,
           25.79054400224954,
           24.52666737468059,
           23.257414576974064,
           22.67212480518652,
           21.89680482047826,
           20.97293737014738,
           20.049069919816503,
           19.12520246948561,
           19.476764079744363,
           16.15975540509387,
           16.448632492432328,
           14.835743803884215,
           13.521132919868169,
           12.82482364859417,
           11.055329546712006,
           9.58774326376849,
           8.347642933920621,
           8.0353641316519,
           7.723085329383178,
           7.065929963709072,
           3.7206686272484006,
           1.9066268311141845,
           3.2091681247551236,
           3.3862945692466577,
           3.072143189493882,
           2.8114965759892625,
           2.376219528721474,
           null,
           null
          ],
          [
           null,
           41.41207428278166,
           40.533500912411895,
           40.408452094298426,
           39.88200500742335,
           39.74020773946797,
           38.304758952584805,
           37.6658440535012,
           37.61058097751694,
           35.9778743733692,
           35.4937747335818,
           34.8113406253765,
           34.11642824896859,
           33.913520746730555,
           33.09952175298355,
           31.982937361850666,
           30.098176031201362,
           29.29470105494217,
           28.225441633194617,
           27.55532369229288,
           26.876866219950223,
           26.186663824854094,
           25.496461429757964,
           24.351782333336068,
           22.927585029748446,
           22.28819171404324,
           21.622766905231334,
           20.698899454900452,
           19.875916204176015,
           19.093855694808667,
           18.12224340551806,
           16.280394873322685,
           14.438546341127324,
           12.962625179500742,
           15.809518146620643,
           11.418809831051096,
           10.090197942284274,
           8.82489782229689,
           7.892847129443188,
           7.385499966226636,
           6.613971000230363,
           4.2085145893076294,
           2.321509236686308,
           2.005642964179881,
           3.541487620481419,
           3.216383745277321,
           2.7811066980095376,
           2.345829650741748,
           null,
           null
          ],
          [
           null,
           42.74408145643156,
           41.74276418668179,
           41.78275255481245,
           41.05931386519033,
           40.53115385988971,
           39.21523416921618,
           38.576319270132586,
           39.13647560614743,
           37.425308026291454,
           36.88808645055508,
           35.85338363397879,
           35.36272385761534,
           34.77008353860853,
           33.95608454486152,
           33.40814133895914,
           31.668470893074677,
           29.937719884245467,
           29.181757713517797,
           28.49343437742471,
           27.803231982328576,
           27.113029587232447,
           26.422827192136314,
           25.935032616625264,
           23.573328507992237,
           22.93393519228703,
           22.29454187658183,
           21.25441462269789,
           20.45869128098509,
           19.67663077161775,
           18.14529208366262,
           16.303443551467247,
           14.461595019271888,
           14.244891961882734,
           15.763831075878299,
           12.003078175734476,
           10.87640220414579,
           8.395243396263238,
           7.818349781054653,
           7.213331350523812,
           6.441144214695889,
           4.710802671815973,
           2.7776491807448376,
           1.325721399992081,
           3.4468621770130876,
           3.185993867297596,
           2.7507168200298118,
           2.315439772762023,
           null,
           null
          ],
          [
           null,
           43.88418238180408,
           43.19986097357901,
           43.10898446959747,
           41.858379962019356,
           41.38607362045554,
           40.09966666254783,
           39.777278629935324,
           39.89326191201516,
           38.846969825837604,
           38.43471008984188,
           36.24164015577058,
           36.46886481978612,
           35.64159506098323,
           34.22013101750662,
           34.564395454057035,
           32.287419935936214,
           31.208113925876763,
           30.788457721162487,
           30.232592082598913,
           29.714340204286867,
           29.02413780919074,
           27.85962518241967,
           25.29807224047314,
           24.88678042897174,
           24.304490427368595,
           23.527181701302062,
           21.976080877996164,
           20.722869133354244,
           19.847959998952973,
           18.523586742422154,
           16.681738210226776,
           15.705293811984093,
           15.075469532612022,
           14.275307207976654,
           12.63091285882127,
           12.189569977935106,
           6.234603724772644,
           8.657659213826637,
           7.623527234092375,
           6.760270277350434,
           5.239911835158383,
           3.3050159658692007,
           1.6182065148095608,
           2.9935636039541293,
           3.155603989317871,
           2.720326942050087,
           2.2850498947822975,
           null,
           null
          ],
          [
           null,
           44.958903107816944,
           44.700965568129654,
           44.09726630616227,
           43.138548946773916,
           42.41399043341645,
           41.337039528360464,
           40.22386547051615,
           40.33984875259599,
           40.32508211703983,
           39.54317459015359,
           37.60768968025327,
           37.33412942378498,
           37.060569167316686,
           34.875420234742684,
           35.63564342310344,
           33.00888006960655,
           32.47850796750805,
           32.44538761581843,
           31.95531687783624,
           31.465246139854045,
           30.877608723054085,
           26.910823630445172,
           26.49953181894377,
           26.088240007442366,
           25.675045662450145,
           24.248846787921654,
           22.69774713329443,
           21.146498019566337,
           19.982686235121655,
           18.879789380262547,
           18.06110294635638,
           17.43127866698432,
           16.801454387612246,
           13.65977107038426,
           13.258747541908061,
           12.85772401343186,
           4.073964053282059,
           9.236618643345842,
           8.076363125268855,
           7.0793963400049815,
           5.768185688514376,
           3.832382750993563,
           1.9106916296270393,
           2.5402650308951733,
           3.004389923407598,
           2.6899370640703615,
           null,
           null,
           null
          ],
          [
           null,
           46.96676704294565,
           46.7524021312124,
           46.01619703819631,
           45.15184382200087,
           44.780433918184364,
           43.67276368279096,
           42.29219841863519,
           42.40818170071503,
           42.31981935876334,
           41.63496001897232,
           39.70696171480516,
           39.21173695933456,
           38.93817670286627,
           37.29482137662998,
           37.92913940444342,
           35.568234356333974,
           34.375071262413435,
           34.1550866691741,
           33.60580834728677,
           33.115737609304574,
           32.14121978897808,
           29.76346765466893,
           28.522634673006728,
           28.111342861505324,
           26.414529433896156,
           26.12828480406916,
           22.963859734828553,
           21.460404725378584,
           20.357507870519477,
           20.01626295785409,
           19.606165418815436,
           18.97634113944337,
           18.198915707767625,
           13.216541428760939,
           12.193946358089805,
           11.792922829613602,
           11.465335661859164,
           9.538021363768175,
           8.158312875053953,
           7.137117400948721,
           5.322443792371925,
           3.3866408548511115,
           1.9588649809830645,
           2.478119712837956,
           2.6240025768973094,
           2.659547186090636,
           null,
           null,
           null
          ],
          [
           null,
           49.075060255598785,
           48.88302220760724,
           48.20344363234567,
           47.17904173106415,
           47.35200520816276,
           46.13052686929011,
           45.218672801155,
           44.65670866078277,
           44.297572479688895,
           43.658261989962156,
           42.14667430473963,
           41.32089447242583,
           40.43408252807068,
           40.219549723939316,
           40.312161239523626,
           38.63198229191831,
           36.34120891879371,
           35.875135627342424,
           35.320157024028575,
           34.76517842071473,
           33.66344550387326,
           32.00652886387644,
           30.63703122435773,
           30.095177774074642,
           26.209759725478584,
           28.136364256830888,
           23.809262201152375,
           21.954731084045505,
           21.63679815714732,
           21.318865230249138,
           21.00093230335095,
           20.501301124953404,
           18.304817021968613,
           13.743578146142939,
           10.941074522393196,
           12.981630846755284,
           12.57678668603985,
           10.26091111692078,
           8.18503932709081,
           7.1186140093214245,
           5.322238781296098,
           3.0587693688008817,
           1.9755416784491935,
           2.2407773033779295,
           2.3866601674372823,
           2.5468588961481613,
           null,
           null,
           null
          ],
          [
           null,
           53.4512767108308,
           52.929703979966405,
           52.33281964456437,
           50.554244581804056,
           51.39628362266171,
           49.98314751534629,
           49.33918266101006,
           49.04055367184948,
           47.53037511903277,
           46.89106462930604,
           44.789699514388964,
           43.96391968207516,
           43.55300113579191,
           43.338468331660536,
           42.43135702491713,
           41.141519464774326,
           37.578983698296994,
           37.7248621268853,
           37.16988352357146,
           36.61490492025761,
           34.418088701256565,
           32.761172061259735,
           31.577303932382016,
           30.96672180480664,
           26.48268861520775,
           28.384480840226036,
           23.460004253101534,
           23.04927283172097,
           22.731339904822782,
           22.4134069779246,
           22.09547405102641,
           20.564127304126078,
           18.070856976024167,
           15.747480936224147,
           11.45435642749801,
           15.047335622088948,
           12.051372354491651,
           9.735496785372579,
           8.591602116391961,
           7.306176457506873,
           5.333134954842775,
           3.0036369951464525,
           1.8847590785546684,
           2.0306419426140225,
           2.1765248066733753,
           null,
           null,
           null,
           null
          ],
          [
           null,
           60.76016994899677,
           59.34883991466171,
           58.835909389978895,
           55.57700902792648,
           57.2405374115747,
           55.489629541190034,
           54.813724486863244,
           53.15189059274981,
           52.41462400523205,
           51.334214843842595,
           47.68121792591198,
           47.13059830614757,
           46.91192364002266,
           46.6947305909963,
           44.13937716730072,
           42.973687927629044,
           38.36709403082115,
           39.228883308489145,
           39.17810479590544,
           37.88063957348865,
           33.353554328632484,
           31.911174254258615,
           31.198878703879632,
           30.53658552349264,
           27.339471347116277,
           24.946331986240423,
           24.414032926511123,
           23.929960004747514,
           23.571585455618745,
           23.25365252872056,
           22.563509271267165,
           19.67436532777835,
           17.975561309186713,
           17.186415780610055,
           14.951158138797826,
           14.606395408526211,
           10.030954454651338,
           7.684377461412284,
           11.050962194670305,
           7.758065263525106,
           4.932127265963818,
           2.98511660140796,
           1.7565857598644652,
           1.8537596413675947,
           null,
           null,
           null,
           null,
           null
          ],
          [
           null,
           67.943136233347,
           66.09083263243315,
           64.52577179681812,
           61.54180394673775,
           63.14640552888184,
           60.9886924578885,
           60.194037834279904,
           58.023250894922825,
           57.313433122352095,
           55.2011440872368,
           50.70833127683162,
           50.4896566107067,
           50.2709819445818,
           50.05230727845689,
           45.84739730968431,
           44.789572724328494,
           39.155204363345305,
           38.46364680568131,
           41.17818966027184,
           37.9853217590606,
           34.7924538578494,
           31.53274902575624,
           30.820453475377256,
           30.108157924998277,
           26.77955346300033,
           25.852134521684302,
           25.368061599920704,
           24.8839886781571,
           24.38202811745724,
           23.64853934325804,
           22.915050569058835,
           19.22023929586793,
           17.880265642349258,
           17.091120113772597,
           16.30197458519594,
           14.165455194963476,
           9.590014241088602,
           8.045465144836975,
           12.71912194120967,
           8.253465728992188,
           3.6006709174349103,
           3.0374481803790534,
           1.678782222332064,
           null,
           null,
           null,
           null,
           null,
           null
          ]
         ]
        }
       ],
       "layout": {
        "height": 1000,
        "scene": {
         "xaxis": {
          "title": {
           "text": "wBCE loss"
          }
         },
         "yaxis": {
          "title": {
           "text": "alpha values"
          }
         },
         "zaxis": {
          "title": {
           "text": "Saved runs %"
          }
         }
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "fillpattern": {
             "fillmode": "overlay",
             "size": 10,
             "solidity": 0.2
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "autotypenumbers": "strict",
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "title": {
         "text": "3D Plot"
        },
        "width": 1000
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ploting surface plot\n",
    "\n",
    "# change contour to True to plot the contour plot\n",
    "plot_3d(loss, alpha, new_saved_runs, title='3D Plot', x_label='wBCE loss', y_label='alpha values',z_label='Saved runs %',\n",
    "                                                                        save_fig=True, transparent=True,\n",
    "                                                                        width=1000, height=1000,\n",
    "                                                                        algorithm='hybrid', contour = False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ploting contour plot\n",
    "\n",
    "# change contour to True to plot the contour plot\n",
    "plot_3d(loss, alpha, new_saved_runs, title='3D Plot', x_label='wBCE loss', y_label='alpha values',z_label='Saved runs %',\n",
    "                                                                        save_fig=True, transparent=True,\n",
    "                                                                        width=1000, height=1000,\n",
    "                                                                        algorithm='hybrid', contour = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "marker": {
          "color": [
           0.01662858493692,
           0.0170271997817499,
           0.0155968430532163,
           0.0156464626951413,
           0.0148012996144298,
           0.0141030515556543,
           0.0134277787410825,
           0.0129918515378585,
           0.0124463323560883,
           0.0115369651693512,
           0.0110184164565526,
           0.0104526338431044,
           0.0091576194994791,
           0.0095429680709724,
           0.0097537960870424,
           0.0083062520591893,
           0.0077623325200962,
           0.0072347908928098,
           0.0075072925235911,
           0.006543075140177,
           0.0059463272597805,
           0.0059707043388649,
           0.0052309598970827,
           0.0043732254044422,
           0.0050199453882265,
           0.004555186512442,
           0.0041994048115506,
           0.0040655366469846,
           0.0035594939475534,
           0.0032834597539963,
           0.0030891171414289,
           0.0031795191081857,
           0.0028227580370836,
           0.0029691707233375,
           0.0026519080351833,
           0.0024921656893127,
           0.0024143760734717,
           0.0022627164969689,
           0.002331886832916,
           0.0021699484145544,
           0.0171276919907243,
           0.0148047446758004,
           0.0160815307067404,
           0.0161909192903328,
           0.0140499469418818,
           0.0135348047873645,
           0.0129031161603006,
           0.0130211230866552,
           0.0126411228645426,
           0.011684796229824,
           0.010552881793917,
           0.0103646032390651,
           0.0097584479173662,
           0.0094190154027979,
           0.0089230100264005,
           0.0081960816931987,
           0.0080523828751722,
           0.0072383966663207,
           0.007069609741234,
           0.0069698109594007,
           0.0058662616991967,
           0.0061612422206253,
           0.0057031294405005,
           0.00537708864218,
           0.004730714420337,
           0.0043546221404334,
           0.0042542698268239,
           0.0040581352856448,
           0.0037716162681903,
           0.0031547352029783,
           0.0033119490469934,
           0.003144658351084,
           0.0028139717216001,
           0.0025719025751657,
           0.0029597989532451,
           0.0026533364782662,
           0.0022593459196147,
           0.0021911564894368,
           0.0023259189713859,
           0.0020517418405034,
           0.0153427888124909,
           0.0160488589900722,
           0.0161413394553702,
           0.0148762850481145,
           0.0151820664648431,
           0.0145856853307327,
           0.0135676339350937,
           0.0133386109168194,
           0.0127407124676444,
           0.0117803873488773,
           0.0114619404232033,
           0.0110599609394258,
           0.0098888173490021,
           0.0089384160976341,
           0.0090841606630186,
           0.0081282310823186,
           0.0077549979917719,
           0.007502725523861,
           0.0069737583092813,
           0.0066063214817587,
           0.0060868017442262,
           0.005499903326865,
           0.0056013233776456,
           0.004746342468879,
           0.0046635376722743,
           0.0042351021375983,
           0.0040158870997719,
           0.0040276672726389,
           0.0036044007127537,
           0.0033563263332175,
           0.0033686469523606,
           0.0029001818934365,
           0.0028021440617178,
           0.0028367529071681,
           0.0026175712956959,
           0.0025370003535788,
           0.0024732035487773,
           0.0024295247357761,
           0.0023950814536303,
           0.0021722315174219,
           0.0162962212528521,
           0.0164032637071018,
           0.0167964860381231,
           0.0147301599524169,
           0.0142179910284566,
           0.0132726264080149,
           0.0128126486985609,
           0.0141185511146908,
           0.0121229068773387,
           0.011141953601256,
           0.0108688756224648,
           0.0110539017902431,
           0.0103614220914554,
           0.0086019691814546,
           0.0087270547805349,
           0.0082519090706553,
           0.0076173703831741,
           0.0081295950901135,
           0.0075578598651078,
           0.0068158983945484,
           0.0059612646486664,
           0.0056163310605816,
           0.0054995265945343,
           0.0049547171508958,
           0.0049793512861861,
           0.0044876399065147,
           0.0042812603646201,
           0.0037828178200513,
           0.0036963693311406,
           0.0035343382181072,
           0.0033478786939287,
           0.0030509933903949,
           0.0029671001251053,
           0.0027404343964494,
           0.0026684807446016,
           0.0023724368375743,
           0.0028020722692771,
           0.0021970104556797,
           0.0021858232906426,
           0.0021629175399484,
           0.0163648796080432,
           0.0159544445739021,
           0.0159508536310154,
           0.0154615518179004,
           0.0138237108910073,
           0.0136472857800658,
           0.0136411039578981,
           0.0138990060229971,
           0.0127850506078588,
           0.0114441337487725,
           0.012082443169845,
           0.0109939951357931,
           0.0098437548809771,
           0.0098124944143686,
           0.0092705678871073,
           0.0081600194618269,
           0.0082081227965094,
           0.0082843262952362,
           0.0074335447233017,
           0.0064504508493797,
           0.0065323772390314,
           0.0059701671798112,
           0.0054723873242972,
           0.0046161891587537,
           0.0048848439360549,
           0.0046267883535717,
           0.0041768174986089,
           0.0039188161673609,
           0.0035216697190186,
           0.0035530717579889,
           0.0033093954960766,
           0.0030502285784818,
           0.0030770500702581,
           0.0029004739761025,
           0.0027490744082114,
           0.0027630990153235,
           0.0026856432068799,
           0.0022998095135253,
           0.0023282049523269,
           0.0021696855812606,
           0.0162658475694022,
           0.0156763796047721,
           0.0156743150561607,
           0.0144097492190726,
           0.0139791019749928,
           0.013340419109695,
           0.0136075186776765,
           0.0136350592779171,
           0.0121411709173227,
           0.012493725046604,
           0.0104705244774636,
           0.0102436359689022,
           0.0099220042902832,
           0.0092275896271303,
           0.0089231889658279,
           0.0075205056429644,
           0.0077044442128786,
           0.0073585922666738,
           0.0072314027912051,
           0.0068284941455704,
           0.006159225166173,
           0.0059466809897586,
           0.0053713542373011,
           0.0051654106180898,
           0.0050057131528195,
           0.0045113885760386,
           0.0041923807962506,
           0.0039461216034477,
           0.003675623177629,
           0.0032732019754722,
           0.0034070401477995,
           0.0029672134814293,
           0.0030390995890235,
           0.00264258090396,
           0.0026454725450459,
           0.0026428183509083,
           0.002444333335471,
           0.0022385230598242,
           0.0023167803294003,
           0.0021930400517969,
           0.0168372220236044,
           0.0168410638598972,
           0.0161832811024084,
           0.0156222535862844,
           0.0154084985054865,
           0.014348203592412,
           0.0131646541117279,
           0.0148769444918903,
           0.0125898245856881,
           0.0119295684451575,
           0.0111760186541384,
           0.0107851495808364,
           0.0093048722987934,
           0.0099719383775864,
           0.0083090976083415,
           0.0082870546490756,
           0.0076439549323007,
           0.0082123148624432,
           0.0068660126275904,
           0.0066455878840141,
           0.0063225822800722,
           0.0057830364752862,
           0.0054876150235806,
           0.0049612851126207,
           0.0047627516021932,
           0.0045064186681896,
           0.0039327605344709,
           0.0039536882187064,
           0.0034213126008853,
           0.0035280376057526,
           0.0032809185291097,
           0.0033163966589203,
           0.0027917509526341,
           0.0029280007513119,
           0.0028278955789087,
           0.0024727292484852,
           0.0025305139601233,
           0.0023297846330295,
           0.002311206198348,
           0.0020901636561664,
           0.0162306144813971,
           0.0156310799516886,
           0.0153873953195288,
           0.0154899320988835,
           0.0144628920790286,
           0.0143934593007565,
           0.0131573549337593,
           0.0122213447164618,
           0.0120660027749683,
           0.0117933229859652,
           0.0120184038992454,
           0.010142421694616,
           0.0098584017053826,
           0.0091986910623082,
           0.0086473986066127,
           0.0091252155304779,
           0.0082660454716106,
           0.0074667333293169,
           0.0072729796717177,
           0.0062674307743755,
           0.0059798893869392,
           0.0058996308415708,
           0.0050935499424581,
           0.0049399641698871,
           0.0046685574382681,
           0.0045086026266058,
           0.004231780873846,
           0.0039347276509667,
           0.0037374444344891,
           0.0033379684846307,
           0.0033216139645293,
           0.0030698327671579,
           0.0027934557215566,
           0.0028304142812473,
           0.0027660161748001,
           0.0024574291844971,
           0.0025073621802765,
           0.0024140956205837,
           0.0023125075615554,
           0.0022696254203193,
           0.0162173808973672,
           0.0160711877291298,
           0.0159203705607162,
           0.014675479447983,
           0.0138771445474476,
           0.0141708091271092,
           0.013259365392015,
           0.0127744761332287,
           0.0121845054104137,
           0.0118401541871091,
           0.0111140210088293,
           0.0104017665921533,
           0.0100194368372122,
           0.0096602320220724,
           0.0091536806801381,
           0.0081843654561369,
           0.0078618888371203,
           0.0078142390978192,
           0.0071812480346393,
           0.0066864527477859,
           0.0064042679236141,
           0.0063760125394642,
           0.0061002726954048,
           0.0046908994365683,
           0.0045743239651062,
           0.0042891582313931,
           0.0038947041002474,
           0.00394408018565,
           0.0037961405219292,
           0.0032307428855608,
           0.0033958830434847,
           0.0030910997627676,
           0.0028974041879548,
           0.0028991716831437,
           0.0026439560245798,
           0.0027531091437867,
           0.0024335233876279,
           0.0023072900727522,
           0.0023147721339739,
           0.002172455008574,
           0.0157174775760659,
           0.0158077024837631,
           0.0161254501604667,
           0.0151411103191436,
           0.0141477781492238,
           0.0146698724097368,
           0.0132854804678096,
           0.0131718743590493,
           0.0121004430875223,
           0.0115662387631509,
           0.0113643433037537,
           0.01063729674671,
           0.0097076512424834,
           0.0095427583752381,
           0.0090603087505015,
           0.0077681078293984,
           0.0079510576962449,
           0.0077179620776274,
           0.0078663753687509,
           0.0063063171043734,
           0.006106351479263,
           0.0060367064443259,
           0.0056161504534637,
           0.0054025496464902,
           0.0047680690430964,
           0.004667385898962,
           0.0043048426651671,
           0.0039381632811735,
           0.0036091115228041,
           0.0035620038665386,
           0.0032443556342442,
           0.0033000823038925,
           0.0027601042987,
           0.002930206761168,
           0.0028145416600082,
           0.0024649823416974,
           0.0024870608763898,
           0.0023386431802604,
           0.0023037948927192,
           0.0022899749240742,
           0.0168225937688443,
           0.0162983239995439,
           0.0153274196526189,
           0.015463423422823,
           0.0146005609080069,
           0.0134536164679207,
           0.0138179736131365,
           0.0127372301506021,
           0.0115300555425329,
           0.0118982881611796,
           0.0115129526550171,
           0.0107120030115328,
           0.0095713108811583,
           0.0092486794947939,
           0.0089945125300187,
           0.0080679626152774,
           0.0083290237487904,
           0.007543152505461,
           0.0069035820744782,
           0.0067323030954128,
           0.00629280221673,
           0.0057742265322673,
           0.0052166772806356,
           0.0049949897546973,
           0.0050510232010929,
           0.0045560064489501,
           0.0040445015937452,
           0.0044281400344333,
           0.0035478297016584,
           0.0031491294815329,
           0.0032379146909429,
           0.0029462674116328,
           0.0029275221053394,
           0.0029242111347293,
           0.0027945294001027,
           0.0025688434208662,
           0.0023543633644956,
           0.0024451405479139,
           0.0022536577331752,
           0.0021573185908261,
           0.0156692685031445,
           0.0171763110129311,
           0.0158690202310336,
           0.0143211985350522,
           0.0161161185667924,
           0.0140493606013291,
           0.0137648895943598,
           0.0130634324659471,
           0.011836637710323,
           0.0114807355326188,
           0.0114036560056735,
           0.0110933433279419,
           0.0098200397661994,
           0.0092248642021935,
           0.0090462980397222,
           0.0083933936976569,
           0.0077377613023587,
           0.0067434118969725,
           0.00729762925641,
           0.0065444120502197,
           0.0063377634728716,
           0.005997504371646,
           0.0055324934860619,
           0.0050529212862752,
           0.0047713800405129,
           0.0043882786897689,
           0.0038515490366008,
           0.0038758249632297,
           0.0038645069236343,
           0.0032453296459138,
           0.0034109914908117,
           0.0029352146528909,
           0.0028102831674207,
           0.003051422395103,
           0.002742476059574,
           0.0025025555688156,
           0.0023493506404488,
           0.0022749500374871,
           0.0023501709733239,
           0.0022484995563585,
           0.0168731860809729,
           0.0164900133753336,
           0.0156214191646529,
           0.0161368610310234,
           0.0140075746787261,
           0.0148230223244972,
           0.0133789783766738,
           0.0132416859726599,
           0.0124591246493848,
           0.0104130866166718,
           0.0114474198322888,
           0.0106370607801261,
           0.0097141097769247,
           0.0096743707655072,
           0.009529755211659,
           0.0077220816488611,
           0.0072138946855058,
           0.0072948929323102,
           0.0069960861794463,
           0.0061537307772895,
           0.0064337884789635,
           0.006308686982829,
           0.0056951291693044,
           0.0050084526975718,
           0.0048578613946924,
           0.0041087918100983,
           0.0041417609120543,
           0.0041644288363506,
           0.0038511489017087,
           0.0035846669137449,
           0.0032599697522155,
           0.0030574061119171,
           0.0028388175969433,
           0.0027595107883415,
           0.0025996628363519,
           0.0023229798114765,
           0.002586370425147,
           0.0024548355061385,
           0.0021959328129937,
           0.0021053160210275,
           0.0163022256967335,
           0.0158381986042527,
           0.0163590684201534,
           0.0150246441527634,
           0.0150143518000509,
           0.0136628241286532,
           0.0137570049201886,
           0.0129549089562158,
           0.0120588362165109,
           0.0120070359717001,
           0.0123359413486609,
           0.0108741941535019,
           0.010595518993071,
           0.0100563014254616,
           0.0089397334087626,
           0.0084750027062723,
           0.0080608946673586,
           0.0074467333110159,
           0.0070754422287242,
           0.0066509618928926,
           0.0057516471465397,
           0.0056756426313637,
           0.0051632919717649,
           0.0049177067133119,
           0.0048356080056687,
           0.0045048827368941,
           0.0043518800683383,
           0.0037336126546723,
           0.0036547691839226,
           0.0033688736138019,
           0.0031840877114834,
           0.0031018932689127,
           0.0028235523054088,
           0.0027871943341549,
           0.0025968887701572,
           0.0027474841214471,
           0.0023881779714989,
           0.0024952405671306,
           0.0022822931079205,
           0.0020337119830714,
           0.0179410651826505,
           0.0159571052309248,
           0.0148598238299885,
           0.0158909322388467,
           0.0139840551884991,
           0.0141629198287847,
           0.0134783616510573,
           0.0133659535951906,
           0.0125560390790429,
           0.0110441162789527,
           0.0117852859930093,
           0.0102240464944255,
           0.0093618632505124,
           0.0092799228505226,
           0.0089750153359308,
           0.0077966530422264,
           0.0079682685810505,
           0.0073506351283195,
           0.0067934487555998,
           0.0069035960742126,
           0.006116998835269,
           0.0057225698343674,
           0.0059808195520582,
           0.0049416154581114,
           0.0047153348884064,
           0.0043553545192771,
           0.0043334471759282,
           0.0039638484311158,
           0.0034312103493205,
           0.0033766897080276,
           0.0033040264745823,
           0.0029866333080168,
           0.0027905418892187,
           0.0028640176434078,
           0.0027988259280413,
           0.0025528467208356,
           0.0025590819006218,
           0.002606715333441,
           0.0022164506953147,
           0.002247447086528,
           0.0169583570875832,
           0.0153663157843536,
           0.0152650953037223,
           0.0146167874826065,
           0.0145766507965723,
           0.0139078870680454,
           0.0134322990454953,
           0.0131838393212786,
           0.0134398927985582,
           0.0113965528814793,
           0.0112176547792455,
           0.0103259937096096,
           0.0108851608329992,
           0.0097598456936352,
           0.0087816146268681,
           0.0083619282689968,
           0.007585630269319,
           0.0081379919960368,
           0.006460007605338,
           0.006986941634751,
           0.006301092848569,
           0.0058821319493028,
           0.0055043980885269,
           0.0049062132087968,
           0.004573035505911,
           0.0041686253025366,
           0.0038619336639864,
           0.0039331389856309,
           0.0035739670736812,
           0.0035254074383381,
           0.0032452839588426,
           0.003140510932485,
           0.002979930241312,
           0.0029580563465893,
           0.0026953952957902,
           0.002570449776912,
           0.0025691394369727,
           0.0023411188052485,
           0.0021214485535199,
           0.0020578323467763,
           0.0157239667547095,
           0.0154761070324824,
           0.0159846196760125,
           0.0151498391160718,
           0.0149935048855897,
           0.0138611887372599,
           0.0132661559193799,
           0.0132312727460027,
           0.0119280676172523,
           0.0120889653548435,
           0.011323283305223,
           0.0114056275459832,
           0.0091684195300535,
           0.0096345488004705,
           0.0090210543043725,
           0.0086664496216611,
           0.0078374472647112,
           0.0071033496898955,
           0.006943808349203,
           0.0063344425884311,
           0.0064472349468553,
           0.0056981127400828,
           0.0054993287781808,
           0.004846443700997,
           0.0046537023630634,
           0.0042538520003453,
           0.0041610441619223,
           0.0038149703191888,
           0.0035314392262019,
           0.0035353210411945,
           0.0033920172815262,
           0.0029035888520489,
           0.0028014848016791,
           0.0028473905840738,
           0.0026157391080628,
           0.0025664340415234,
           0.0023984297056757,
           0.0023004959736057,
           0.0022573812981108,
           0.0021241283852016,
           0.0159456302687808,
           0.0156706184497482,
           0.0163265518570916,
           0.0150640289300891,
           0.014399066276527,
           0.0138420383303858,
           0.0133576508092736,
           0.0126777097932887,
           0.0128170574848957,
           0.0129208453949005,
           0.0115311500709646,
           0.0107371748655437,
           0.0095814468690634,
           0.0095005394243033,
           0.0095496019076175,
           0.0080682590652514,
           0.0075507318668428,
           0.007432945918786,
           0.007137514619442,
           0.0068748096349252,
           0.0057932066960113,
           0.0060440685548749,
           0.0055926983494779,
           0.0049712747185963,
           0.0049163968461398,
           0.0044529005108538,
           0.0045154264245642,
           0.0039155422383138,
           0.0035874879343774,
           0.0037455986678343,
           0.003404606292615,
           0.0030573079194378,
           0.0029208911779314,
           0.0027125180486527,
           0.002734044476013,
           0.0025265663240741,
           0.002529035295163,
           0.0022793733897146,
           0.0022841674025755,
           0.0022181302899584,
           0.0159939388390517,
           0.0164755345138832,
           0.0140389970254125,
           0.0152427609763131,
           0.0147443708766734,
           0.014255664778932,
           0.0139890857753539,
           0.0129957679986552,
           0.0129328140751616,
           0.0117933139610571,
           0.0112102337206052,
           0.0107423042188455,
           0.0101710669032701,
           0.0091475756124313,
           0.0090805536318836,
           0.0088169366480516,
           0.0078241255971339,
           0.0072974747950615,
           0.0064963635200989,
           0.0068709770470239,
           0.0063664711773652,
           0.0054971705739401,
           0.0054640280903416,
           0.0051114519532948,
           0.0049197657514771,
           0.0040985725631765,
           0.0038299551252302,
           0.0039502650256931,
           0.0036748790168419,
           0.0032708173137637,
           0.0033417809475814,
           0.0030243018611574,
           0.0029744060788792,
           0.0029752243428511,
           0.0028692257118235,
           0.0025408546700573,
           0.0024552592966665,
           0.0022543286614752,
           0.002197953246192,
           0.0020756198256741,
           0.0159769155615129,
           0.0170846977849398,
           0.0154542251667352,
           0.0152932964431209,
           0.0147348064962052,
           0.0133324934869423,
           0.0136732932094568,
           0.0137143545321849,
           0.012791488640531,
           0.0123603580055801,
           0.0108802675730672,
           0.0101640930560767,
           0.010529520339451,
           0.0100290372086531,
           0.0094439636816008,
           0.0087748168265578,
           0.0074962055151991,
           0.0075299271505986,
           0.0073948873623137,
           0.0069222235238898,
           0.0061447665963545,
           0.0055786317430607,
           0.0054253536447137,
           0.0048485790786727,
           0.0046008115273382,
           0.0046680233327834,
           0.003973843790744,
           0.0041463261458633,
           0.003791430417197,
           0.0035776867262786,
           0.003235644928528,
           0.0030763153105937,
           0.0029056658037368,
           0.0029492554854724,
           0.0028127209848134,
           0.0025638882113596,
           0.0024893256624828,
           0.0023286919110452,
           0.0022761882762697,
           0.0021916451941166,
           0.0160251145075952,
           0.0153069297937907,
           0.0153892087895438,
           0.0142811380383512,
           0.0150236957814924,
           0.0148421345405958,
           0.0146416721555503,
           0.0136052221230069,
           0.0124428219444122,
           0.0123119622554218,
           0.0114249853940326,
           0.0101995587121748,
           0.0098302788444362,
           0.0088662621773172,
           0.0088592719401424,
           0.0077561049955276,
           0.0082008680144059,
           0.0073046786168019,
           0.0072452429015568,
           0.0067025019315649,
           0.0066816951444285,
           0.0055322432126295,
           0.0055308273509158,
           0.0052351400545959,
           0.0050655474181879,
           0.0044882901550649,
           0.004366118511817,
           0.0040176565823127,
           0.003382527952222,
           0.0036980097928618,
           0.003489464705754,
           0.0029613579590501,
           0.0030428893394236,
           0.0030784415498113,
           0.0027833438531893,
           0.0025568619862349,
           0.0025050959549183,
           0.002227945170834,
           0.0021561366442632,
           0.0023382913829599
          ],
          "colorscale": [
           [
            0,
            "#440154"
           ],
           [
            0.1111111111111111,
            "#482878"
           ],
           [
            0.2222222222222222,
            "#3e4989"
           ],
           [
            0.3333333333333333,
            "#31688e"
           ],
           [
            0.4444444444444444,
            "#26828e"
           ],
           [
            0.5555555555555556,
            "#1f9e89"
           ],
           [
            0.6666666666666666,
            "#35b779"
           ],
           [
            0.7777777777777778,
            "#6ece58"
           ],
           [
            0.8888888888888888,
            "#b5de2b"
           ],
           [
            1,
            "#fde725"
           ]
          ],
          "opacity": 0.8,
          "size": 5
         },
         "mode": "markers",
         "type": "scatter3d",
         "x": [
          0.01662858493692,
          0.0170271997817499,
          0.0155968430532163,
          0.0156464626951413,
          0.0148012996144298,
          0.0141030515556543,
          0.0134277787410825,
          0.0129918515378585,
          0.0124463323560883,
          0.0115369651693512,
          0.0110184164565526,
          0.0104526338431044,
          0.0091576194994791,
          0.0095429680709724,
          0.0097537960870424,
          0.0083062520591893,
          0.0077623325200962,
          0.0072347908928098,
          0.0075072925235911,
          0.006543075140177,
          0.0059463272597805,
          0.0059707043388649,
          0.0052309598970827,
          0.0043732254044422,
          0.0050199453882265,
          0.004555186512442,
          0.0041994048115506,
          0.0040655366469846,
          0.0035594939475534,
          0.0032834597539963,
          0.0030891171414289,
          0.0031795191081857,
          0.0028227580370836,
          0.0029691707233375,
          0.0026519080351833,
          0.0024921656893127,
          0.0024143760734717,
          0.0022627164969689,
          0.002331886832916,
          0.0021699484145544,
          0.0171276919907243,
          0.0148047446758004,
          0.0160815307067404,
          0.0161909192903328,
          0.0140499469418818,
          0.0135348047873645,
          0.0129031161603006,
          0.0130211230866552,
          0.0126411228645426,
          0.011684796229824,
          0.010552881793917,
          0.0103646032390651,
          0.0097584479173662,
          0.0094190154027979,
          0.0089230100264005,
          0.0081960816931987,
          0.0080523828751722,
          0.0072383966663207,
          0.007069609741234,
          0.0069698109594007,
          0.0058662616991967,
          0.0061612422206253,
          0.0057031294405005,
          0.00537708864218,
          0.004730714420337,
          0.0043546221404334,
          0.0042542698268239,
          0.0040581352856448,
          0.0037716162681903,
          0.0031547352029783,
          0.0033119490469934,
          0.003144658351084,
          0.0028139717216001,
          0.0025719025751657,
          0.0029597989532451,
          0.0026533364782662,
          0.0022593459196147,
          0.0021911564894368,
          0.0023259189713859,
          0.0020517418405034,
          0.0153427888124909,
          0.0160488589900722,
          0.0161413394553702,
          0.0148762850481145,
          0.0151820664648431,
          0.0145856853307327,
          0.0135676339350937,
          0.0133386109168194,
          0.0127407124676444,
          0.0117803873488773,
          0.0114619404232033,
          0.0110599609394258,
          0.0098888173490021,
          0.0089384160976341,
          0.0090841606630186,
          0.0081282310823186,
          0.0077549979917719,
          0.007502725523861,
          0.0069737583092813,
          0.0066063214817587,
          0.0060868017442262,
          0.005499903326865,
          0.0056013233776456,
          0.004746342468879,
          0.0046635376722743,
          0.0042351021375983,
          0.0040158870997719,
          0.0040276672726389,
          0.0036044007127537,
          0.0033563263332175,
          0.0033686469523606,
          0.0029001818934365,
          0.0028021440617178,
          0.0028367529071681,
          0.0026175712956959,
          0.0025370003535788,
          0.0024732035487773,
          0.0024295247357761,
          0.0023950814536303,
          0.0021722315174219,
          0.0162962212528521,
          0.0164032637071018,
          0.0167964860381231,
          0.0147301599524169,
          0.0142179910284566,
          0.0132726264080149,
          0.0128126486985609,
          0.0141185511146908,
          0.0121229068773387,
          0.011141953601256,
          0.0108688756224648,
          0.0110539017902431,
          0.0103614220914554,
          0.0086019691814546,
          0.0087270547805349,
          0.0082519090706553,
          0.0076173703831741,
          0.0081295950901135,
          0.0075578598651078,
          0.0068158983945484,
          0.0059612646486664,
          0.0056163310605816,
          0.0054995265945343,
          0.0049547171508958,
          0.0049793512861861,
          0.0044876399065147,
          0.0042812603646201,
          0.0037828178200513,
          0.0036963693311406,
          0.0035343382181072,
          0.0033478786939287,
          0.0030509933903949,
          0.0029671001251053,
          0.0027404343964494,
          0.0026684807446016,
          0.0023724368375743,
          0.0028020722692771,
          0.0021970104556797,
          0.0021858232906426,
          0.0021629175399484,
          0.0163648796080432,
          0.0159544445739021,
          0.0159508536310154,
          0.0154615518179004,
          0.0138237108910073,
          0.0136472857800658,
          0.0136411039578981,
          0.0138990060229971,
          0.0127850506078588,
          0.0114441337487725,
          0.012082443169845,
          0.0109939951357931,
          0.0098437548809771,
          0.0098124944143686,
          0.0092705678871073,
          0.0081600194618269,
          0.0082081227965094,
          0.0082843262952362,
          0.0074335447233017,
          0.0064504508493797,
          0.0065323772390314,
          0.0059701671798112,
          0.0054723873242972,
          0.0046161891587537,
          0.0048848439360549,
          0.0046267883535717,
          0.0041768174986089,
          0.0039188161673609,
          0.0035216697190186,
          0.0035530717579889,
          0.0033093954960766,
          0.0030502285784818,
          0.0030770500702581,
          0.0029004739761025,
          0.0027490744082114,
          0.0027630990153235,
          0.0026856432068799,
          0.0022998095135253,
          0.0023282049523269,
          0.0021696855812606,
          0.0162658475694022,
          0.0156763796047721,
          0.0156743150561607,
          0.0144097492190726,
          0.0139791019749928,
          0.013340419109695,
          0.0136075186776765,
          0.0136350592779171,
          0.0121411709173227,
          0.012493725046604,
          0.0104705244774636,
          0.0102436359689022,
          0.0099220042902832,
          0.0092275896271303,
          0.0089231889658279,
          0.0075205056429644,
          0.0077044442128786,
          0.0073585922666738,
          0.0072314027912051,
          0.0068284941455704,
          0.006159225166173,
          0.0059466809897586,
          0.0053713542373011,
          0.0051654106180898,
          0.0050057131528195,
          0.0045113885760386,
          0.0041923807962506,
          0.0039461216034477,
          0.003675623177629,
          0.0032732019754722,
          0.0034070401477995,
          0.0029672134814293,
          0.0030390995890235,
          0.00264258090396,
          0.0026454725450459,
          0.0026428183509083,
          0.002444333335471,
          0.0022385230598242,
          0.0023167803294003,
          0.0021930400517969,
          0.0168372220236044,
          0.0168410638598972,
          0.0161832811024084,
          0.0156222535862844,
          0.0154084985054865,
          0.014348203592412,
          0.0131646541117279,
          0.0148769444918903,
          0.0125898245856881,
          0.0119295684451575,
          0.0111760186541384,
          0.0107851495808364,
          0.0093048722987934,
          0.0099719383775864,
          0.0083090976083415,
          0.0082870546490756,
          0.0076439549323007,
          0.0082123148624432,
          0.0068660126275904,
          0.0066455878840141,
          0.0063225822800722,
          0.0057830364752862,
          0.0054876150235806,
          0.0049612851126207,
          0.0047627516021932,
          0.0045064186681896,
          0.0039327605344709,
          0.0039536882187064,
          0.0034213126008853,
          0.0035280376057526,
          0.0032809185291097,
          0.0033163966589203,
          0.0027917509526341,
          0.0029280007513119,
          0.0028278955789087,
          0.0024727292484852,
          0.0025305139601233,
          0.0023297846330295,
          0.002311206198348,
          0.0020901636561664,
          0.0162306144813971,
          0.0156310799516886,
          0.0153873953195288,
          0.0154899320988835,
          0.0144628920790286,
          0.0143934593007565,
          0.0131573549337593,
          0.0122213447164618,
          0.0120660027749683,
          0.0117933229859652,
          0.0120184038992454,
          0.010142421694616,
          0.0098584017053826,
          0.0091986910623082,
          0.0086473986066127,
          0.0091252155304779,
          0.0082660454716106,
          0.0074667333293169,
          0.0072729796717177,
          0.0062674307743755,
          0.0059798893869392,
          0.0058996308415708,
          0.0050935499424581,
          0.0049399641698871,
          0.0046685574382681,
          0.0045086026266058,
          0.004231780873846,
          0.0039347276509667,
          0.0037374444344891,
          0.0033379684846307,
          0.0033216139645293,
          0.0030698327671579,
          0.0027934557215566,
          0.0028304142812473,
          0.0027660161748001,
          0.0024574291844971,
          0.0025073621802765,
          0.0024140956205837,
          0.0023125075615554,
          0.0022696254203193,
          0.0162173808973672,
          0.0160711877291298,
          0.0159203705607162,
          0.014675479447983,
          0.0138771445474476,
          0.0141708091271092,
          0.013259365392015,
          0.0127744761332287,
          0.0121845054104137,
          0.0118401541871091,
          0.0111140210088293,
          0.0104017665921533,
          0.0100194368372122,
          0.0096602320220724,
          0.0091536806801381,
          0.0081843654561369,
          0.0078618888371203,
          0.0078142390978192,
          0.0071812480346393,
          0.0066864527477859,
          0.0064042679236141,
          0.0063760125394642,
          0.0061002726954048,
          0.0046908994365683,
          0.0045743239651062,
          0.0042891582313931,
          0.0038947041002474,
          0.00394408018565,
          0.0037961405219292,
          0.0032307428855608,
          0.0033958830434847,
          0.0030910997627676,
          0.0028974041879548,
          0.0028991716831437,
          0.0026439560245798,
          0.0027531091437867,
          0.0024335233876279,
          0.0023072900727522,
          0.0023147721339739,
          0.002172455008574,
          0.0157174775760659,
          0.0158077024837631,
          0.0161254501604667,
          0.0151411103191436,
          0.0141477781492238,
          0.0146698724097368,
          0.0132854804678096,
          0.0131718743590493,
          0.0121004430875223,
          0.0115662387631509,
          0.0113643433037537,
          0.01063729674671,
          0.0097076512424834,
          0.0095427583752381,
          0.0090603087505015,
          0.0077681078293984,
          0.0079510576962449,
          0.0077179620776274,
          0.0078663753687509,
          0.0063063171043734,
          0.006106351479263,
          0.0060367064443259,
          0.0056161504534637,
          0.0054025496464902,
          0.0047680690430964,
          0.004667385898962,
          0.0043048426651671,
          0.0039381632811735,
          0.0036091115228041,
          0.0035620038665386,
          0.0032443556342442,
          0.0033000823038925,
          0.0027601042987,
          0.002930206761168,
          0.0028145416600082,
          0.0024649823416974,
          0.0024870608763898,
          0.0023386431802604,
          0.0023037948927192,
          0.0022899749240742,
          0.0168225937688443,
          0.0162983239995439,
          0.0153274196526189,
          0.015463423422823,
          0.0146005609080069,
          0.0134536164679207,
          0.0138179736131365,
          0.0127372301506021,
          0.0115300555425329,
          0.0118982881611796,
          0.0115129526550171,
          0.0107120030115328,
          0.0095713108811583,
          0.0092486794947939,
          0.0089945125300187,
          0.0080679626152774,
          0.0083290237487904,
          0.007543152505461,
          0.0069035820744782,
          0.0067323030954128,
          0.00629280221673,
          0.0057742265322673,
          0.0052166772806356,
          0.0049949897546973,
          0.0050510232010929,
          0.0045560064489501,
          0.0040445015937452,
          0.0044281400344333,
          0.0035478297016584,
          0.0031491294815329,
          0.0032379146909429,
          0.0029462674116328,
          0.0029275221053394,
          0.0029242111347293,
          0.0027945294001027,
          0.0025688434208662,
          0.0023543633644956,
          0.0024451405479139,
          0.0022536577331752,
          0.0021573185908261,
          0.0156692685031445,
          0.0171763110129311,
          0.0158690202310336,
          0.0143211985350522,
          0.0161161185667924,
          0.0140493606013291,
          0.0137648895943598,
          0.0130634324659471,
          0.011836637710323,
          0.0114807355326188,
          0.0114036560056735,
          0.0110933433279419,
          0.0098200397661994,
          0.0092248642021935,
          0.0090462980397222,
          0.0083933936976569,
          0.0077377613023587,
          0.0067434118969725,
          0.00729762925641,
          0.0065444120502197,
          0.0063377634728716,
          0.005997504371646,
          0.0055324934860619,
          0.0050529212862752,
          0.0047713800405129,
          0.0043882786897689,
          0.0038515490366008,
          0.0038758249632297,
          0.0038645069236343,
          0.0032453296459138,
          0.0034109914908117,
          0.0029352146528909,
          0.0028102831674207,
          0.003051422395103,
          0.002742476059574,
          0.0025025555688156,
          0.0023493506404488,
          0.0022749500374871,
          0.0023501709733239,
          0.0022484995563585,
          0.0168731860809729,
          0.0164900133753336,
          0.0156214191646529,
          0.0161368610310234,
          0.0140075746787261,
          0.0148230223244972,
          0.0133789783766738,
          0.0132416859726599,
          0.0124591246493848,
          0.0104130866166718,
          0.0114474198322888,
          0.0106370607801261,
          0.0097141097769247,
          0.0096743707655072,
          0.009529755211659,
          0.0077220816488611,
          0.0072138946855058,
          0.0072948929323102,
          0.0069960861794463,
          0.0061537307772895,
          0.0064337884789635,
          0.006308686982829,
          0.0056951291693044,
          0.0050084526975718,
          0.0048578613946924,
          0.0041087918100983,
          0.0041417609120543,
          0.0041644288363506,
          0.0038511489017087,
          0.0035846669137449,
          0.0032599697522155,
          0.0030574061119171,
          0.0028388175969433,
          0.0027595107883415,
          0.0025996628363519,
          0.0023229798114765,
          0.002586370425147,
          0.0024548355061385,
          0.0021959328129937,
          0.0021053160210275,
          0.0163022256967335,
          0.0158381986042527,
          0.0163590684201534,
          0.0150246441527634,
          0.0150143518000509,
          0.0136628241286532,
          0.0137570049201886,
          0.0129549089562158,
          0.0120588362165109,
          0.0120070359717001,
          0.0123359413486609,
          0.0108741941535019,
          0.010595518993071,
          0.0100563014254616,
          0.0089397334087626,
          0.0084750027062723,
          0.0080608946673586,
          0.0074467333110159,
          0.0070754422287242,
          0.0066509618928926,
          0.0057516471465397,
          0.0056756426313637,
          0.0051632919717649,
          0.0049177067133119,
          0.0048356080056687,
          0.0045048827368941,
          0.0043518800683383,
          0.0037336126546723,
          0.0036547691839226,
          0.0033688736138019,
          0.0031840877114834,
          0.0031018932689127,
          0.0028235523054088,
          0.0027871943341549,
          0.0025968887701572,
          0.0027474841214471,
          0.0023881779714989,
          0.0024952405671306,
          0.0022822931079205,
          0.0020337119830714,
          0.0179410651826505,
          0.0159571052309248,
          0.0148598238299885,
          0.0158909322388467,
          0.0139840551884991,
          0.0141629198287847,
          0.0134783616510573,
          0.0133659535951906,
          0.0125560390790429,
          0.0110441162789527,
          0.0117852859930093,
          0.0102240464944255,
          0.0093618632505124,
          0.0092799228505226,
          0.0089750153359308,
          0.0077966530422264,
          0.0079682685810505,
          0.0073506351283195,
          0.0067934487555998,
          0.0069035960742126,
          0.006116998835269,
          0.0057225698343674,
          0.0059808195520582,
          0.0049416154581114,
          0.0047153348884064,
          0.0043553545192771,
          0.0043334471759282,
          0.0039638484311158,
          0.0034312103493205,
          0.0033766897080276,
          0.0033040264745823,
          0.0029866333080168,
          0.0027905418892187,
          0.0028640176434078,
          0.0027988259280413,
          0.0025528467208356,
          0.0025590819006218,
          0.002606715333441,
          0.0022164506953147,
          0.002247447086528,
          0.0169583570875832,
          0.0153663157843536,
          0.0152650953037223,
          0.0146167874826065,
          0.0145766507965723,
          0.0139078870680454,
          0.0134322990454953,
          0.0131838393212786,
          0.0134398927985582,
          0.0113965528814793,
          0.0112176547792455,
          0.0103259937096096,
          0.0108851608329992,
          0.0097598456936352,
          0.0087816146268681,
          0.0083619282689968,
          0.007585630269319,
          0.0081379919960368,
          0.006460007605338,
          0.006986941634751,
          0.006301092848569,
          0.0058821319493028,
          0.0055043980885269,
          0.0049062132087968,
          0.004573035505911,
          0.0041686253025366,
          0.0038619336639864,
          0.0039331389856309,
          0.0035739670736812,
          0.0035254074383381,
          0.0032452839588426,
          0.003140510932485,
          0.002979930241312,
          0.0029580563465893,
          0.0026953952957902,
          0.002570449776912,
          0.0025691394369727,
          0.0023411188052485,
          0.0021214485535199,
          0.0020578323467763,
          0.0157239667547095,
          0.0154761070324824,
          0.0159846196760125,
          0.0151498391160718,
          0.0149935048855897,
          0.0138611887372599,
          0.0132661559193799,
          0.0132312727460027,
          0.0119280676172523,
          0.0120889653548435,
          0.011323283305223,
          0.0114056275459832,
          0.0091684195300535,
          0.0096345488004705,
          0.0090210543043725,
          0.0086664496216611,
          0.0078374472647112,
          0.0071033496898955,
          0.006943808349203,
          0.0063344425884311,
          0.0064472349468553,
          0.0056981127400828,
          0.0054993287781808,
          0.004846443700997,
          0.0046537023630634,
          0.0042538520003453,
          0.0041610441619223,
          0.0038149703191888,
          0.0035314392262019,
          0.0035353210411945,
          0.0033920172815262,
          0.0029035888520489,
          0.0028014848016791,
          0.0028473905840738,
          0.0026157391080628,
          0.0025664340415234,
          0.0023984297056757,
          0.0023004959736057,
          0.0022573812981108,
          0.0021241283852016,
          0.0159456302687808,
          0.0156706184497482,
          0.0163265518570916,
          0.0150640289300891,
          0.014399066276527,
          0.0138420383303858,
          0.0133576508092736,
          0.0126777097932887,
          0.0128170574848957,
          0.0129208453949005,
          0.0115311500709646,
          0.0107371748655437,
          0.0095814468690634,
          0.0095005394243033,
          0.0095496019076175,
          0.0080682590652514,
          0.0075507318668428,
          0.007432945918786,
          0.007137514619442,
          0.0068748096349252,
          0.0057932066960113,
          0.0060440685548749,
          0.0055926983494779,
          0.0049712747185963,
          0.0049163968461398,
          0.0044529005108538,
          0.0045154264245642,
          0.0039155422383138,
          0.0035874879343774,
          0.0037455986678343,
          0.003404606292615,
          0.0030573079194378,
          0.0029208911779314,
          0.0027125180486527,
          0.002734044476013,
          0.0025265663240741,
          0.002529035295163,
          0.0022793733897146,
          0.0022841674025755,
          0.0022181302899584,
          0.0159939388390517,
          0.0164755345138832,
          0.0140389970254125,
          0.0152427609763131,
          0.0147443708766734,
          0.014255664778932,
          0.0139890857753539,
          0.0129957679986552,
          0.0129328140751616,
          0.0117933139610571,
          0.0112102337206052,
          0.0107423042188455,
          0.0101710669032701,
          0.0091475756124313,
          0.0090805536318836,
          0.0088169366480516,
          0.0078241255971339,
          0.0072974747950615,
          0.0064963635200989,
          0.0068709770470239,
          0.0063664711773652,
          0.0054971705739401,
          0.0054640280903416,
          0.0051114519532948,
          0.0049197657514771,
          0.0040985725631765,
          0.0038299551252302,
          0.0039502650256931,
          0.0036748790168419,
          0.0032708173137637,
          0.0033417809475814,
          0.0030243018611574,
          0.0029744060788792,
          0.0029752243428511,
          0.0028692257118235,
          0.0025408546700573,
          0.0024552592966665,
          0.0022543286614752,
          0.002197953246192,
          0.0020756198256741,
          0.0159769155615129,
          0.0170846977849398,
          0.0154542251667352,
          0.0152932964431209,
          0.0147348064962052,
          0.0133324934869423,
          0.0136732932094568,
          0.0137143545321849,
          0.012791488640531,
          0.0123603580055801,
          0.0108802675730672,
          0.0101640930560767,
          0.010529520339451,
          0.0100290372086531,
          0.0094439636816008,
          0.0087748168265578,
          0.0074962055151991,
          0.0075299271505986,
          0.0073948873623137,
          0.0069222235238898,
          0.0061447665963545,
          0.0055786317430607,
          0.0054253536447137,
          0.0048485790786727,
          0.0046008115273382,
          0.0046680233327834,
          0.003973843790744,
          0.0041463261458633,
          0.003791430417197,
          0.0035776867262786,
          0.003235644928528,
          0.0030763153105937,
          0.0029056658037368,
          0.0029492554854724,
          0.0028127209848134,
          0.0025638882113596,
          0.0024893256624828,
          0.0023286919110452,
          0.0022761882762697,
          0.0021916451941166,
          0.0160251145075952,
          0.0153069297937907,
          0.0153892087895438,
          0.0142811380383512,
          0.0150236957814924,
          0.0148421345405958,
          0.0146416721555503,
          0.0136052221230069,
          0.0124428219444122,
          0.0123119622554218,
          0.0114249853940326,
          0.0101995587121748,
          0.0098302788444362,
          0.0088662621773172,
          0.0088592719401424,
          0.0077561049955276,
          0.0082008680144059,
          0.0073046786168019,
          0.0072452429015568,
          0.0067025019315649,
          0.0066816951444285,
          0.0055322432126295,
          0.0055308273509158,
          0.0052351400545959,
          0.0050655474181879,
          0.0044882901550649,
          0.004366118511817,
          0.0040176565823127,
          0.003382527952222,
          0.0036980097928618,
          0.003489464705754,
          0.0029613579590501,
          0.0030428893394236,
          0.0030784415498113,
          0.0027833438531893,
          0.0025568619862349,
          0.0025050959549183,
          0.002227945170834,
          0.0021561366442632,
          0.0023382913829599
         ],
         "y": [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0.03075030750307,
          0.09049973512272,
          0.03603136169722,
          0.0191871620443,
          -0.06385414831776999,
          0.12342973999415,
          -0.19831447430457,
          0.08605151462294,
          0.07376570260005,
          -0.06587788489627999,
          0.18898991665209,
          -0.15031554790590002,
          0.014151493930899999,
          0.35962301587301,
          0.24325874928284,
          0.18975903614457,
          0.35068068240565,
          0.14404022478556,
          -0.29197393243011,
          0.8501947787661999,
          0.8143610242150301,
          0.27910052910052,
          0.8194905869324399,
          0.74813258636788,
          0.75143430866322,
          0.56851017105871,
          0.22488368085473,
          0.63180169286578,
          0.8133472367049,
          0.27151462994836,
          0.8111033111033099,
          0.43144004589787,
          0.74885255306942,
          0.48436603557084995,
          0.77323021666087,
          0.9933669331479499,
          0.7399425287356299,
          1.00112827634091,
          1.11384111384111,
          0.01537515375153,
          -0.05405956752345,
          -0.11541811846689,
          0.08318990246701001,
          0.23416098385498,
          0.23736933797909002,
          -0.05424405485158,
          0.19793111419325002,
          0.32940360610263003,
          0.49933053906159,
          0.50113795518207,
          0.29155108645398997,
          1.0484848484848401,
          0.82410930473884,
          0.7665681844513901,
          1.07458405048766,
          1.5707508250825002,
          1.77165806081468,
          1.65941650716315,
          1.7117429496070198,
          1.50057372346528,
          2.0094824530308397,
          2.43710149922453,
          1.6881511566307599,
          2.5686756867568596,
          2.21129080563042,
          2.65670995670995,
          2.30289074267176,
          2.25459225459225,
          2.71294021294021,
          2.76121128062875,
          2.8766923436041,
          2.63446904185402,
          2.3315282791817,
          3.0350680682405597,
          2.57917103271626,
          2.32917383820998,
          2.51600884852718,
          2.90171382562686,
          2.42272860064271,
          0.06246768912631,
          -0.0738616614529,
          -0.08146115589092,
          0.03813016649202,
          0.4031882030658,
          0.12436737980216,
          0.7938898450946599,
          0.25530694205393,
          1.03184165232357,
          1.31269073530258,
          1.1000346740638,
          1.1651006322139,
          1.87286120294646,
          1.8833943833943803,
          1.94135802469135,
          2.47940954701003,
          3.03746070555361,
          2.9827315541601203,
          3.31769634743612,
          3.48273809523809,
          3.65748709122203,
          3.8300392972723003,
          4.20712825007303,
          3.9978222996515598,
          3.6167593558104496,
          4.27900326797385,
          4.54044750430292,
          4.55470626134832,
          4.94966151709772,
          4.3573726233557295,
          4.70962229173907,
          5.245157384987889,
          4.93557078427927,
          4.45727014985824,
          4.86161251504211,
          4.98904469763365,
          4.97818423485899,
          5.42049991320951,
          5.2534515034515,
          4.61809879618098,
          0.17121291601095,
          -0.12497110494683,
          0.30909351692484,
          0.16931864545083,
          0.65411412448897,
          0.95630081300813,
          0.9827235772357701,
          1.03581603581603,
          2.04940329940329,
          2.62705204331121,
          3.1251488095238,
          2.98489066759468,
          3.5047735475608297,
          3.6249999999999996,
          4.31125541125541,
          4.58099906629318,
          4.94588744588744,
          5.09716704093971,
          5.58344835518748,
          6.03487632917244,
          6.41725402555727,
          6.12564543889845,
          6.40747803975959,
          6.996270797475609,
          6.46414228341939,
          7.234222604704529,
          7.076559437334249,
          7.47910181021561,
          7.01780712284913,
          7.75204953776382,
          7.88310384394721,
          7.9661503155479,
          8.11933448078026,
          7.816695352839929,
          7.94060637620783,
          7.791724177593739,
          7.50073395572779,
          8.36514654229285,
          8.01659714980882,
          7.575941676792219,
          -0.15080331767298,
          -0.11890436078161,
          0.08635653532372,
          0.40791738382099,
          0.8554442687284,
          0.7534385113268599,
          1.45189151839695,
          2.07995296884185,
          2.18180753236103,
          2.45559686080132,
          3.30684596577017,
          3.87525562372188,
          4.06651549508692,
          4.91519496415457,
          6.04973094948793,
          5.5610815754873295,
          5.88539873780837,
          6.56025618932735,
          6.27108433734939,
          7.4783680018337,
          7.695319297024531,
          7.74182444061962,
          8.11763176144244,
          8.6051948051948,
          8.99082042455536,
          8.84683507549361,
          9.384626690182241,
          8.99804061275383,
          9.21256454388984,
          9.301075268817199,
          9.497772377480759,
          9.63153310104529,
          9.65642886646604,
          9.63494939038417,
          9.87527633387106,
          9.67598967297762,
          9.32655122655122,
          10.51147446930579,
          10.1839307151432,
          9.8085075493612,
          0.10642570281124,
          -0.07205890779896999,
          0.24274667131809,
          0.59625311756858,
          1.05981067125645,
          1.3583232567513002,
          2.08398111360626,
          2.75954396268785,
          3.0841774362556698,
          3.6476659629368897,
          4.48340548340548,
          4.90879299344585,
          5.32822500146791,
          6.03165029582399,
          6.50644901249496,
          7.466422466422459,
          7.651331719128319,
          7.88971662284545,
          8.08491107286288,
          8.97192827748383,
          9.40329399330632,
          9.75395862228386,
          9.5414569229879,
          10.68419515045281,
          10.52839931153184,
          10.90470411465556,
          11.07085137085137,
          11.48180292773245,
          11.02032590545286,
          11.409781985083189,
          11.60343624629338,
          11.829832783660239,
          12.11474469305794,
          12.096528973034989,
          12.259454629309351,
          12.111590628853259,
          12.52551020408163,
          12.31335754640839,
          12.314557657814031,
          12.597178774186071,
          0.08318990246701001,
          0.0007267864410721867,
          0.7227164370021499,
          0.80602750809061,
          1.32012492120795,
          1.71347665279704,
          2.14825513538748,
          2.79732142857142,
          3.06649245063879,
          4.33293269230769,
          4.33574038628849,
          5.03106218215441,
          6.1113023522661996,
          6.49870912220309,
          7.143586601307179,
          7.782337874024909,
          8.209259578379,
          8.372336709745019,
          9.17925128739223,
          9.79394473838918,
          10.35332157554379,
          10.73565323565323,
          10.59797316750158,
          11.51930189551548,
          11.96242111302352,
          12.58174506032523,
          12.35083189902467,
          12.8202120264164,
          12.48292958080987,
          13.054692891649411,
          13.269219736087202,
          12.82142857142857,
          13.27301005872434,
          13.42254698489565,
          13.9076515561977,
          13.35445235202222,
          13.83490678066737,
          13.902036718301769,
          13.579592684954282,
          13.88443670150987,
          0.15828924162257,
          -0.07936507936507,
          0.3467335209946,
          0.8957326892109501,
          1.2479474548440002,
          1.42053754016944,
          2.30828311473472,
          2.66594516594516,
          4.04472251187579,
          4.5236641665213,
          5.31440045897877,
          5.8574858514834505,
          7.190504980710539,
          7.553913854403451,
          8.15806470553696,
          9.2301784237268,
          9.73806616663759,
          10.06739655070928,
          10.59378452235595,
          11.256067961165039,
          12.17085990005169,
          12.455106138841069,
          12.847895014972691,
          13.732229542302349,
          13.516699120788338,
          13.69945545128026,
          13.89800514800514,
          14.311391223155919,
          14.90913628089953,
          14.91166960611405,
          15.619973384250411,
          15.166754201680671,
          15.615748709122201,
          15.62406318459587,
          15.360950038071799,
          15.63773431132844,
          15.802226873655439,
          15.97446472446472,
          15.57085484796327,
          15.846963633199929,
          0.02325377325377,
          0.27139321074964,
          0.44635685599541,
          1.06311274509803,
          1.53865069721691,
          1.54402461467678,
          3.2063202409917704,
          2.51706827309236,
          4.3599745723532095,
          5.08239465999165,
          5.71572002294893,
          6.523722627737221,
          7.31234866828087,
          7.70927014873746,
          8.373063683304641,
          9.47102836262397,
          10.662708044382791,
          10.76086956521739,
          11.93733425573619,
          11.92335408739767,
          12.75390058581288,
          13.172047676907939,
          13.5383996783273,
          14.3105219893136,
          14.53088881183541,
          14.950493612078969,
          15.86417096959265,
          15.741129785247429,
          16.0790523105794,
          16.196961835581682,
          15.918858518136489,
          16.87562540467361,
          16.37664178672684,
          16.994373876225268,
          17.00889271371199,
          16.068636096413872,
          17.29392842782469,
          16.849458609849798,
          16.714343857201,
          17.55530329491209,
          0.45978004260954003,
          1.06360792492179,
          2.13658380018674,
          3.2388557388557304,
          3.92871468683743,
          4.6972049689440905,
          6.1467770034843205,
          6.54059093516924,
          7.57148622160728,
          8.81463001867413,
          9.52926096181046,
          10.25158053477176,
          11.22132960763767,
          12.82576150169862,
          12.612121212121211,
          14.270042558086029,
          14.785771451437709,
          15.664802065404471,
          16.13980537801577,
          17.3810958118187,
          17.732193240052972,
          18.095668387837062,
          18.61301663522551,
          19.17300051822421,
          19.09667240390131,
          20.21695997239475,
          20.082903040734358,
          21.46864111498257,
          20.26353398502257,
          20.8446362515413,
          21.00888543823326,
          21.11318949016878,
          21.50157773952954,
          21.17442810457516,
          22.25426219870664,
          21.81954123112659,
          21.994155062747108,
          22.18390804597701,
          21.88376202062333,
          21.64431784983932,
          1.73379231210556,
          2.5077827741266,
          3.5232598507203603,
          4.68144400617389,
          5.6976477337923095,
          7.68110898439765,
          8.6498786407767,
          9.7039586919105,
          11.15461672473867,
          12.714457624204911,
          13.524040684234858,
          14.97488385598141,
          16.072014291571477,
          17.22121578099838,
          18.07703421174294,
          19.57122049818679,
          20.802302650658312,
          19.94535519125683,
          21.140282358386848,
          22.55786435786435,
          23.59035483125288,
          23.695538968929,
          23.997078586035638,
          25.08187236012266,
          25.50219602404068,
          25.726786441072157,
          25.730225745304153,
          25.97515901667526,
          27.064224213670702,
          27.148505387556472,
          26.594799883143438,
          26.829853922245224,
          27.10763767609733,
          28.1469278978504,
          27.85057882802243,
          27.86273666092942,
          27.749282845668382,
          27.704226989941272,
          28.441920084865618,
          27.97431001562228,
          1.7272018030513099,
          2.22403247013091,
          3.2165806081468697,
          4.23894037419129,
          6.0288296041308,
          7.093050037427299,
          9.07885645189151,
          10.43094359515023,
          11.35973337990452,
          12.75774526678141,
          14.11554281079828,
          14.96890654689929,
          16.50494705780246,
          17.935049019607842,
          19.04704184704184,
          19.62763180789977,
          20.94820636839983,
          21.389320220841952,
          22.208210974837332,
          22.76034442903375,
          23.77199014383129,
          24.98169642857142,
          25.070993031358878,
          26.427543890552517,
          26.46363636363636,
          25.96658060814687,
          26.901032702237522,
          27.53925120772946,
          27.886546184738947,
          28.30601811276658,
          27.7327882960413,
          28.64730349971313,
          28.85595672047676,
          28.72121686677106,
          28.79604130808949,
          28.64302967563837,
          29.18581718401646,
          29.89501769038918,
          28.9687320711417,
          29.3015873015873,
          1.88870566452583,
          2.17157738095238,
          3.57245737801293,
          4.87862950058072,
          5.8870301528294,
          7.793534080298779,
          8.745850503663,
          9.92328042328042,
          10.91255198266268,
          12.80277581329561,
          14.59125530554101,
          15.595669948753379,
          17.152398567318418,
          18.61910540915395,
          19.38465544176358,
          20.82593817063975,
          22.156244601831048,
          21.76460451490607,
          22.98799323891122,
          24.3593415494995,
          24.66361788617886,
          25.381926537161192,
          26.00092031825198,
          27.18983426704014,
          27.3044741941166,
          27.8074178074178,
          29.18516924842225,
          28.72748732295855,
          28.839213998852546,
          29.1633396979691,
          29.05529486733866,
          29.38326513668979,
          29.528782028782018,
          29.780403389425942,
          29.485332407568134,
          29.70826161790016,
          29.83011817865832,
          30.77001961833422,
          30.351405622489956,
          30.471278317152102,
          1.67888773867034,
          2.60509331937903,
          3.21313964815769,
          4.3913906142167,
          6.473417123974739,
          7.65428339423467,
          9.23465289730349,
          9.81139971139971,
          11.94602599493903,
          13.32884370293129,
          14.96347234545992,
          15.562351190476189,
          17.46002990568207,
          19.30885023135945,
          19.76766280877526,
          20.80705574912892,
          22.59757292747607,
          22.98083623693379,
          24.01678141135972,
          24.970382570503922,
          25.74645673960742,
          26.8894148020654,
          27.595238095238088,
          28.23502775343265,
          28.48692923360396,
          29.24105330317266,
          30.01005227181342,
          29.79061539353865,
          30.135054021608642,
          30.598836874532147,
          30.89793844367015,
          31.232638888888882,
          31.50707384403036,
          31.349206349206348,
          31.281927074158876,
          31.67687074829932,
          32.358814215341305,
          32.64551871781519,
          31.865461847389557,
          32.188409593666314,
          1.25215665976535,
          1.90750028825089,
          3.5297619047619,
          5.01635111876075,
          6.824859254046441,
          7.9597651026222405,
          10.09930243283754,
          11.42125645438898,
          13.22348816827344,
          14.88802308802308,
          16.85815295815295,
          17.401814892623708,
          19.798292902066482,
          21.758297258297247,
          21.76929392446633,
          23.934165232358,
          24.9711049468331,
          25.94067845584836,
          26.59008375798043,
          28.22791164658634,
          28.66336775674125,
          29.88052000461201,
          30.192791402275187,
          30.76582908686229,
          31.69038668098818,
          31.74799196787148,
          32.0488570276962,
          32.91919805589307,
          33.40533562822719,
          34.26485922836287,
          34.106641453211836,
          34.67814113597246,
          35.04453370590289,
          34.44483159117305,
          34.62366053521288,
          34.98441558441558,
          35.28999530846821,
          35.57419578000692,
          35.217773550098,
          35.13308763308763,
          1.29593923458954,
          2.54364596021112,
          4.110101010101,
          5.27327818944224,
          7.54963924963924,
          8.638841078600109,
          11.3585009246417,
          12.0062049062049,
          14.20854847963281,
          16.63191452696881,
          18.03715554018217,
          19.54658134440216,
          21.24054834054834,
          22.84299434059337,
          24.25401606425702,
          25.866329437758,
          27.240820424555363,
          27.154993065187238,
          28.98967678858982,
          29.73789272695712,
          31.31298282024673,
          31.60033386048146,
          32.77801974448315,
          33.66545159983798,
          34.563778580024064,
          35.61417096959265,
          35.98838209982788,
          35.87936898897489,
          36.45576131687242,
          37.22576790814245,
          37.30794606999426,
          38.27359307359307,
          38.21557659208261,
          37.92574172526153,
          38.45689805910123,
          38.75362950058071,
          38.86949182658138,
          38.65692110177404,
          38.94909186168354,
          38.974786474786484,
          0.8810958118187001,
          2.5809523809523798,
          3.62026121128062,
          6.19194773088469,
          7.772277227722769,
          9.94443467041989,
          11.830840639504899,
          12.879483027467911,
          16.42784464213035,
          18.62899483788643,
          19.38450472667488,
          21.29719853836784,
          23.57345861608955,
          25.06350170687959,
          26.68918531267928,
          28.10860938578329,
          29.4924506387921,
          30.12673278812133,
          32.03641625121768,
          33.121130590753914,
          33.76225066297705,
          35.204123112659694,
          35.84253508166551,
          36.84494914470642,
          37.234565758259556,
          38.0860140666436,
          39.24913941480206,
          39.14357429718875,
          39.57376058041112,
          41.07273678702249,
          40.69181839402428,
          41.1345238095238,
          41.63993874248728,
          41.251079633788216,
          42.23567892503536,
          42.40059960414483,
          42.3821398883743,
          42.659517901453384,
          42.30722820648655,
          42.63985205732778,
          1.9450659781985,
          2.76257916959887,
          3.8828175088885004,
          6.42428275658089,
          7.95661700262927,
          9.70324153757888,
          12.589031958703089,
          13.816064887493459,
          16.61322558220368,
          18.82393635420269,
          20.80483100132435,
          23.040770920018492,
          25.77003484320557,
          27.06671352427809,
          28.23078026391279,
          31.199094361671044,
          32.69782480893591,
          32.518850414709114,
          34.716956746510434,
          35.96977800782148,
          37.05234636227371,
          37.78486914961823,
          38.80262249827467,
          40.40805815527694,
          40.48773448773449,
          40.194348823866896,
          41.360733415739595,
          41.79936120789779,
          42.49682924017064,
          42.78938625633851,
          43.34040546911833,
          43.93527423209186,
          43.86962412083477,
          44.687906179841654,
          45.34122203098106,
          44.47698806569774,
          45.231075583061134,
          44.88958113958113,
          44.701728438025626,
          45.14807647196809,
          1.95702671312427,
          2.4548289327971,
          3.80636833046471,
          6.18459552495697,
          8.05627968949136,
          10.33057613877879,
          13.36432030439294,
          15.33585331942996,
          18.00517598343685,
          21.45998278829604,
          22.90949512335054,
          25.538961038961038,
          28.97720673635307,
          30.779645191409898,
          31.87148594377509,
          35.28671830177854,
          36.88069451607357,
          37.4148831274288,
          39.61589213998853,
          41.60111876075731,
          42.114888123924274,
          43.55495387083834,
          44.40922979361236,
          45.54506699147381,
          45.882673551348255,
          47.03729202524383,
          47.56570713391739,
          47.41443452380952,
          48.997031015796146,
          48.63052208835341,
          48.16150315547906,
          48.94332330205936,
          48.7538726333907,
          49.800034928396784,
          50.36834040546911,
          49.77876865031727,
          50.04313319530711,
          50.18925518925519,
          50.38925052779732,
          50.43248000954769,
          1.5453241537578801,
          3.10506241331484,
          4.20668387837062,
          6.26736111111111,
          8.195243909529621,
          10.6035335894749,
          13.47938443670151,
          15.79365079365079,
          18.619252369252358,
          22.43060394889663,
          24.434632561916363,
          26.2618754398311,
          30.09672619047618,
          32.21188475390156,
          34.71256454388984,
          37.44402013539316,
          41.1880378657487,
          41.23967297762478,
          44.73322379799377,
          46.50172117039587,
          49.98291043911482,
          50.757171543316126,
          52.72346528973034,
          55.64556015642972,
          57.07275292220879,
          58.33491297604687,
          60.086291486291486,
          60.712806861875194,
          60.66868686868687,
          63.1552633086929,
          63.11031650295824,
          63.770465813444034,
          65.10127061840649,
          65.95164335870656,
          65.917417938049,
          66.30879255879255,
          66.88848188848188,
          66.7864314400459,
          66.45647093193105,
          68.08731137337796
         ],
         "z": [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.05,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.1,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.15,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.2,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.25,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.3,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.35,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.4,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.45,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.5,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.55,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.6000000000000001,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.65,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.7000000000000001,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.75,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.8500000000000001,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.9,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          0.95,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1,
          1
         ]
        }
       ],
       "layout": {
        "height": 1001,
        "scene": {
         "xaxis": {
          "title": {
           "text": "loss"
          }
         },
         "yaxis": {
          "title": {
           "text": "saved_runs"
          }
         },
         "zaxis": {
          "title": {
           "text": "alpha"
          }
         }
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "fillpattern": {
             "fillmode": "overlay",
             "size": 10,
             "solidity": 0.2
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "autotypenumbers": "strict",
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "title": {
         "text": "3D Plot of Alpha, Saved Runs, and Loss"
        },
        "width": 1001
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a 3D scatter plot\n",
    "fig = go.Figure(data=[go.Scatter3d(\n",
    "    x=loss,\n",
    "    y=new_saved_runs,\n",
    "    z=alpha,\n",
    "    mode='markers',\n",
    "    marker=dict(\n",
    "        size=5,\n",
    "        color=loss,                # set color to an array/list of desired values\n",
    "        colorscale='Viridis',      # choose a colorscale\n",
    "        opacity=0.8\n",
    "    )\n",
    ")])\n",
    "\n",
    "# Update layout\n",
    "fig.update_layout(\n",
    "    title='3D Plot of Alpha, Saved Runs, and Loss',\n",
    "    scene=dict(\n",
    "        xaxis_title='loss',\n",
    "        yaxis_title='saved_runs',\n",
    "        zaxis_title='alpha'\n",
    "    ),\n",
    "    width=1001,\n",
    "    height=1001\n",
    ")\n",
    "\n",
    "# Show the plot\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.11.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}